 &MODEL
 NLIST   =           1,
 NSTEP   =        2000,
 EPSI    =  1.0000000E-07,
 WGHT    =   1.000000    ,
 NOBS    =         120,
 NVAXZ   =           4,
 NVAX    =           4,
 NORDER  =           1,
 NVAZ    =           0,
 NLAMZ   =           0,
 NLAMY   =           1,
 NLAMX   =           4,
 NSCALE  =           0,
 NEXPY   =           0,
 NRES    =           0,
 NCOR    =           0,
 NCOV    =           0,
 VARNAME = BC5+AU1+P,
 NVARIANT        =           4
 /
 &AUTOCOR
 RHO     = 2*0.000000000000000E+000  ,
 PI      =  0.990000000000000     ,  0.000000000000000E+000,
 NTPI    =           1,   538976288,
 MATFILE = R320km.in                                                                                                                 
                                       
 /
 &YBOXCOX
 VLY     =  0.000000000000000E+000,
 NTLY    =           1,
 NUMLXY  =           0
 /
 &XBOXCOX
 NUMX    =           1,           2,           3,           4, 46*0,
 NUMLX   =           1,           2,           3,           4, 46*0,
 VLX     = 10*0.000000000000000E+000  ,
 NTLX    = 4*1, 6*0
 /
 &YXZDATA
 YXZFILE = Canada1976.in                                                                   ,
 YXZFMT  = (5e15.5)                                                                        
 /

VARIABLE       MINIMUM         MEAN          MAXIMUM   NULL OBS.      SCALE
DEPENDENT
TOTFLOW     0.2577000D+04  0.1476588D+06  0.2736000D+07     0     0.1000000D-05
INDEPENDENT
POP         0.8591300D+05  0.5297039D+06  0.2802800D+07     0     0.1000000D-05
REVE        0.3698300D+04  0.4258776D+04  0.4808200D+04     0     0.1000000D-02
LANGFR      0.5600000D+01  0.7329333D+02  0.9990000D+02     0     0.1000000D+00
UTILITY     0.5655600D-04  0.4915871D-01  0.1172800D+01     0     0.1000000D+01
CONSTANT    0.1000000D+01  0.1000000D+01  0.1000000D+01     0     0.1000000D+01


MRS of X(l) with respect to X(k) - at the sample means
===================================================================================================================================
        X(k) POP         REVE        LANGFR      UTILITY     CONSTANT  
X(l)
===================================================================================================================================

POP          0.1000D+01  0.7451D+02  0.3456D+03  0.4914D+07 -0.4112D+07

REVE         0.1342D-01  0.1000D+01  0.4639D+01  0.6595D+05 -0.5518D+05

LANGFR       0.2893D-02  0.2156D+00  0.1000D+01  0.1422D+05 -0.1190D+05

UTILITY      0.2035D-06  0.1516D-04  0.7034D-04  0.1000D+01 -0.8368D+00

CONSTANT    -0.2432D-06 -0.1812D-04 -0.8406D-04 -0.1195D+01  0.1000D+01


INITIAL ESTIMATES

             LAM    PARAMETER      STD-ERROR        STUDENT-T    GRADIENT       DERIV.Y         ELAST.Y
                                                                                DERIV.E(Y)      ELAST.E(Y)


POP           X1  0.1389205D+01  0.5457770D-01     25.4537107 -0.1024327D-05  0.3872510D+00      1.3892049
                                                                              0.4970914D+00      1.3892049

REVE          X2  0.8322593D+00  0.6932686D+00      1.2004861 -0.6618732D-06  0.2885581D+02      0.8322593
                                                                              0.3626500D+02      0.8322593

LANGFR        X3  0.6643968D-01  0.5550501D-01      1.1970033 -0.3276004D-06  0.1338513D+03      0.0664397
                                                                              0.1916400D+03      0.0664397

UTILITY       X4  0.6335200D+00  0.1496708D-01     42.3275532  0.4788431D-06  0.1902915D+07      0.6335200
                                                                              0.2843971D+08      0.6335200

CONSTANT      X0 -0.1078358D+02  0.5515421D+01     -1.9551693 -0.7920692D-07 -0.1592291D+07    -10.7835828
                                                                             -0.2006817D+07    -10.7835828

VAR(W)            0.1312324D+00  0.1694202D-01      7.7459667  0.0000000D+00

INITIAL VALUES
 
RHO1           0.0000000D+00
PI1            0.9900000D+00
 
LAM(Y)         0.0000000D+00
LAM(X1)        0.0000000D+00
LAM(X2)        0.0000000D+00
LAM(X3)        0.0000000D+00
LAM(X4)        0.0000000D+00


LOG-LIKELIHOOD = -0.1318235D+04

NUMBER OF OBSERVATIONS              =            120

PEARSON-R2(E) (unadjusted)          =         0.8850
PEARSON-R2(E) (adjusted for D.F.)   =         0.8810

PSEUDO-R2(L)  (unadjusted)          =         0.9441
PSEUDO-R2(L)  (adjusted for D.F.)   =         0.9422

PROBABILITY of Y to be at the limit =         0.0000
MEAN VALUE of E(Y)                  =  0.1860993D+06

MEAN of residual W                  = -0.8662091D-10
VARIANCE of residual W              =  0.1312324D+00
95% CONFIDENCE INTERVAL for residual W
Lower Bound = -0.7100297D+00   Upper Bound =  0.7100297D+00




initialization cards for control routine follow - -  id card - no. parameters , no. steps , step size 
minimization tolerance - starting values of parameters - relative uncertainties of parameters (error estimates) -  
and starting direction  (relative parameter increments for 1st step)
identification line
         7      2000   0.1E+01   0.1E-06
  0.00000E+00  0.45951E+01  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01  0.10000E+01
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00

first entry to fcn , parameters of current step follow - - f,x(i)
   0.1318235024D+04  0.00000D+00  0.45951D+01  0.00000D+00  0.00000D+00  0.00000D+00  0.00000D+00  0.00000D+00

new absolute minimum , parameters for fcn entry     6  follow - - f,x(i)
   0.1295735295D+04  0.10974D-01  0.45951D+01  0.51368D-01  0.97616D-02  0.82569D-05 -0.61681D-03 -0.80761D-01

new absolute minimum , parameters for fcn entry    10  follow - - f,x(i)
   0.1291411672D+04  0.61498D-01  0.45951D+01  0.10106D+00  0.66782D-01  0.22377D-04 -0.50731D-02 -0.60458D-01

new absolute minimum , parameters for fcn entry    14  follow - - f,x(i)
   0.1283190741D+04  0.21468D+00  0.45951D+01  0.83618D-01  0.23957D+00  0.76449D-04 -0.19294D-01 -0.77137D-01

new absolute minimum , parameters for fcn entry    18  follow - - f,x(i)
   0.1271962908D+04  0.85768D+00  0.45953D+01  0.53787D-01  0.12043D+00  0.40169D-03 -0.68370D-01 -0.91861D-01

new absolute minimum , parameters for fcn entry    22  follow - - f,x(i)
   0.1270394306D+04  0.97621D+00  0.45859D+01  0.46504D-01  0.11897D+00  0.10469D-01  0.48571D+00 -0.89075D-01

new absolute minimum , parameters for fcn entry    25  follow - - f,x(i)
   0.1269461307D+04  0.98905D+00  0.45379D+01  0.53030D-01  0.15925D+00  0.68063D-01  0.44704D+00 -0.71093D-01

new absolute minimum , parameters for fcn entry    27  follow - - f,x(i)
   0.1269307131D+04  0.10090D+01  0.44725D+01  0.59508D-01  0.15088D+00  0.15666D+00  0.46152D+00 -0.65107D-01

new absolute minimum , parameters for fcn entry    30  follow - - f,x(i)
   0.1269264906D+04  0.10414D+01  0.42441D+01  0.57507D-01  0.14628D+00  0.45933D+00  0.41044D+00 -0.65535D-01

step to unallowed region , parameters for fcn entry    34 follow - - x(i)
                     0.80868D+01 -0.18146D+03  0.28889D+00  0.87223D+00  0.22460D+03  0.17164D+01 -0.36103D+00

step to unallowed region , parameters for fcn entry    35 follow - - x(i)
                     0.46262D+01 -0.90247D+02  0.17524D+00  0.51566D+00  0.11451D+03  0.10749D+01 -0.21589D+00

step to unallowed region , parameters for fcn entry    36 follow - - x(i)
                     0.28959D+01 -0.44639D+02  0.11842D+00  0.33737D+00  0.59461D+02  0.75420D+00 -0.14332D+00

step to unallowed region , parameters for fcn entry    37 follow - - x(i)
                     0.20308D+01 -0.21835D+02  0.90002D-01  0.24823D+00  0.31937D+02  0.59384D+00 -0.10703D+00

new absolute minimum , parameters for fcn entry    43  follow - - f,x(i)
   0.1267289914D+04  0.11438D+01  0.96830D+00  0.61589D-01  0.15909D+00  0.44132D+01  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    47  follow - - f,x(i)
   0.1266206805D+04  0.11438D+01 -0.26180D+01  0.61589D-01  0.15909D+00  0.44132D+01  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    55  follow - - f,x(i)
   0.1266115218D+04  0.11438D+01 -0.26180D+01  0.66990D-01  0.15909D+00  0.44132D+01  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    60  follow - - f,x(i)
   0.1266104432D+04  0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.44132D+01  0.43348D+00 -0.70748D-01

step to unallowed region , parameters for fcn entry    66 follow - - x(i)
                     0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.43803D+02  0.43348D+00 -0.70748D-01

step to unallowed region , parameters for fcn entry    67 follow - - x(i)
                     0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.39421D+02  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    65  follow - - f,x(i)
   0.1265255371D+04  0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.17507D+02  0.43348D+00 -0.70748D-01

new absolute minimum , parameters for fcn entry    77  follow - - f,x(i)
   0.1263889734D+04  0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.17507D+02 -0.56202D-01 -0.70748D-01

new absolute minimum , parameters for fcn entry    84  follow - - f,x(i)
   0.1263875497D+04  0.11438D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.17507D+02 -0.56202D-01 -0.68365D-01

new absolute minimum , parameters for fcn entry    90  follow - - f,x(i)
   0.1263602075D+04  0.12692D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.17507D+02 -0.56202D-01 -0.68365D-01

new absolute minimum , parameters for fcn entry    98  follow - - f,x(i)
   0.1263602066D+04  0.12699D+01 -0.26180D+01  0.66990D-01  0.16463D+00  0.17507D+02 -0.56202D-01 -0.68365D-01

step to unallowed region , parameters for fcn entry   103 follow - - x(i)
                     0.12699D+01 -0.49096D+02  0.66990D-01  0.16463D+00  0.17507D+02 -0.56202D-01 -0.68365D-01

step to unallowed region , parameters for fcn entry   104 follow - - x(i)
                     0.12699D+01 -0.43867D+02  0.66990D-01  0.16463D+00  0.17507D+02 -0.56202D-01 -0.68365D-01

new absolute minimum , parameters for fcn entry   102  follow - - f,x(i)
   0.1263376442D+04  0.12699D+01 -0.17723D+02  0.66990D-01  0.16463D+00  0.17507D+02 -0.56202D-01 -0.68365D-01

new absolute minimum , parameters for fcn entry   111  follow - - f,x(i)
   0.1263376264D+04  0.12699D+01 -0.17723D+02  0.66760D-01  0.16463D+00  0.17507D+02 -0.56202D-01 -0.68365D-01

new absolute minimum , parameters for fcn entry   116  follow - - f,x(i)
   0.1263375609D+04  0.12699D+01 -0.17723D+02  0.66760D-01  0.16331D+00  0.17507D+02 -0.56202D-01 -0.68365D-01

step to unallowed region , parameters for fcn entry   118 follow - - x(i)
                     0.12699D+01 -0.17723D+02  0.66760D-01  0.16331D+00  0.21715D+02 -0.56202D-01 -0.68365D-01

step to unallowed region , parameters for fcn entry   121 follow - - x(i)
                     0.12699D+01 -0.17723D+02  0.66760D-01  0.16331D+00  0.20200D+02 -0.56202D-01 -0.68365D-01

new absolute minimum , parameters for fcn entry   122  follow - - f,x(i)
   0.1263234198D+04  0.12699D+01 -0.17723D+02  0.66760D-01  0.16331D+00  0.19863D+02 -0.56202D-01 -0.68365D-01

new absolute minimum , parameters for fcn entry   126  follow - - f,x(i)
   0.1263149221D+04  0.12699D+01 -0.17723D+02  0.66760D-01  0.16331D+00  0.19863D+02 -0.18388D+00 -0.68365D-01

new absolute minimum , parameters for fcn entry   130  follow - - f,x(i)
   0.1263064743D+04  0.12699D+01 -0.17723D+02  0.66760D-01  0.16331D+00  0.19863D+02 -0.18388D+00 -0.73999D-01

new absolute minimum , parameters for fcn entry   133  follow - - f,x(i)
   0.1263060112D+04  0.12861D+01 -0.17723D+02  0.66760D-01  0.16331D+00  0.19863D+02 -0.18388D+00 -0.73999D-01

new absolute minimum , parameters for fcn entry   138  follow - - f,x(i)
   0.1263060112D+04  0.12862D+01 -0.17723D+02  0.66760D-01  0.16331D+00  0.19863D+02 -0.18388D+00 -0.73999D-01

new absolute minimum , parameters for fcn entry   142  follow - - f,x(i)
   0.1263060112D+04  0.12862D+01 -0.18527D+02  0.66760D-01  0.16331D+00  0.19863D+02 -0.18388D+00 -0.73999D-01

new absolute minimum , parameters for fcn entry   151  follow - - f,x(i)
   0.1263025457D+04  0.12862D+01 -0.18527D+02  0.63563D-01  0.16331D+00  0.19863D+02 -0.18388D+00 -0.73999D-01

new absolute minimum , parameters for fcn entry   157  follow - - f,x(i)
   0.1263019779D+04  0.12862D+01 -0.18527D+02  0.63563D-01  0.15943D+00  0.19863D+02 -0.18388D+00 -0.73999D-01

step to unallowed region , parameters for fcn entry   159 follow - - x(i)
                     0.12862D+01 -0.18527D+02  0.63563D-01  0.15943D+00  0.20187D+02 -0.18388D+00 -0.73999D-01

step to unallowed region , parameters for fcn entry   162 follow - - x(i)
                     0.12862D+01 -0.18527D+02  0.63563D-01  0.15943D+00  0.20070D+02 -0.18388D+00 -0.73999D-01

step to unallowed region , parameters for fcn entry   163 follow - - x(i)
                     0.12862D+01 -0.18527D+02  0.63563D-01  0.15943D+00  0.20044D+02 -0.18388D+00 -0.73999D-01

new absolute minimum , parameters for fcn entry   161  follow - - f,x(i)
   0.1263017049D+04  0.12862D+01 -0.18527D+02  0.63563D-01  0.15943D+00  0.19915D+02 -0.18388D+00 -0.73999D-01

new absolute minimum , parameters for fcn entry   168  follow - - f,x(i)
   0.1263014555D+04  0.12862D+01 -0.18527D+02  0.63563D-01  0.15943D+00  0.19915D+02 -0.16283D+00 -0.73999D-01

new absolute minimum , parameters for fcn entry   170  follow - - f,x(i)
   0.1262995589D+04  0.12862D+01 -0.18527D+02  0.63563D-01  0.15943D+00  0.19915D+02 -0.16283D+00 -0.76661D-01

new absolute minimum , parameters for fcn entry   179  follow - - f,x(i)
   0.1262995160D+04  0.12911D+01 -0.18527D+02  0.63563D-01  0.15943D+00  0.19915D+02 -0.16283D+00 -0.76661D-01

new absolute minimum , parameters for fcn entry   184  follow - - f,x(i)
   0.1262989742D+04  0.12956D+01 -0.19330D+02  0.60366D-01  0.15555D+00  0.19967D+02 -0.14178D+00 -0.79324D-01

new absolute minimum , parameters for fcn entry   185  follow - - f,x(i)
   0.1262989742D+04  0.12956D+01 -0.18366D+02  0.60366D-01  0.15555D+00  0.19967D+02 -0.14178D+00 -0.79324D-01

new absolute minimum , parameters for fcn entry   190  follow - - f,x(i)
   0.1262987199D+04  0.12956D+01 -0.18366D+02  0.61232D-01  0.15555D+00  0.19967D+02 -0.14178D+00 -0.79324D-01

new absolute minimum , parameters for fcn entry   193  follow - - f,x(i)
   0.1262986129D+04  0.12956D+01 -0.18366D+02  0.61232D-01  0.15723D+00  0.19967D+02 -0.14178D+00 -0.79324D-01

step to unallowed region , parameters for fcn entry   196 follow - - x(i)
                     0.12956D+01 -0.18366D+02  0.61232D-01  0.15723D+00  0.20066D+02 -0.14178D+00 -0.79324D-01

step to unallowed region , parameters for fcn entry   197 follow - - x(i)
                     0.12956D+01 -0.18366D+02  0.61232D-01  0.15723D+00  0.20054D+02 -0.14178D+00 -0.79324D-01

new absolute minimum , parameters for fcn entry   195  follow - - f,x(i)
   0.1262984841D+04  0.12956D+01 -0.18366D+02  0.61232D-01  0.15723D+00  0.19992D+02 -0.14178D+00 -0.79324D-01

new absolute minimum , parameters for fcn entry   202  follow - - f,x(i)
   0.1262984788D+04  0.12956D+01 -0.18366D+02  0.61232D-01  0.15723D+00  0.19992D+02 -0.14489D+00 -0.79324D-01

new absolute minimum , parameters for fcn entry   207  follow - - f,x(i)
   0.1262983173D+04  0.12956D+01 -0.18366D+02  0.61232D-01  0.15723D+00  0.19992D+02 -0.14489D+00 -0.78545D-01

new absolute minimum , parameters for fcn entry   211  follow - - f,x(i)
   0.1262983141D+04  0.12943D+01 -0.18366D+02  0.61232D-01  0.15723D+00  0.19992D+02 -0.14489D+00 -0.78545D-01

new absolute minimum , parameters for fcn entry   221  follow - - f,x(i)
   0.1262983141D+04  0.12943D+01 -0.18366D+02  0.61232D-01  0.15723D+00  0.19992D+02 -0.14489D+00 -0.78545D-01

new absolute minimum , parameters for fcn entry   251  follow - - f,x(i)
   0.1262982667D+04  0.12943D+01 -0.18366D+02  0.61607D-01  0.15723D+00  0.19992D+02 -0.14489D+00 -0.78545D-01

new absolute minimum , parameters for fcn entry   257  follow - - f,x(i)
   0.1262982620D+04  0.12943D+01 -0.18366D+02  0.61607D-01  0.15758D+00  0.19992D+02 -0.14489D+00 -0.78545D-01

step to unallowed region , parameters for fcn entry   259 follow - - x(i)
                     0.12943D+01 -0.18366D+02  0.61607D-01  0.15758D+00  0.20004D+02 -0.14489D+00 -0.78545D-01

step to unallowed region , parameters for fcn entry   263 follow - - x(i)
                     0.12943D+01 -0.18366D+02  0.61607D-01  0.15758D+00  0.20016D+02 -0.14489D+00 -0.78545D-01

step to unallowed region , parameters for fcn entry   264 follow - - x(i)
                     0.12943D+01 -0.18366D+02  0.61607D-01  0.15758D+00  0.20014D+02 -0.14489D+00 -0.78545D-01

new absolute minimum , parameters for fcn entry   262  follow - - f,x(i)
   0.1262982226D+04  0.12943D+01 -0.18366D+02  0.61607D-01  0.15758D+00  0.19999D+02 -0.14489D+00 -0.78545D-01

new absolute minimum , parameters for fcn entry   268  follow - - f,x(i)
   0.1262982190D+04  0.12943D+01 -0.18366D+02  0.61607D-01  0.15758D+00  0.19999D+02 -0.14747D+00 -0.78545D-01

new absolute minimum , parameters for fcn entry   272  follow - - f,x(i)
   0.1262981960D+04  0.12943D+01 -0.18366D+02  0.61607D-01  0.15758D+00  0.19999D+02 -0.14747D+00 -0.78251D-01

new absolute minimum , parameters for fcn entry   277  follow - - f,x(i)
   0.1262981957D+04  0.12938D+01 -0.18366D+02  0.61607D-01  0.15758D+00  0.19999D+02 -0.14747D+00 -0.78251D-01

new absolute minimum , parameters for fcn entry   293  follow - - f,x(i)
   0.1262981903D+04  0.12938D+01 -0.18366D+02  0.61732D-01  0.15758D+00  0.19999D+02 -0.14747D+00 -0.78251D-01

new absolute minimum , parameters for fcn entry   297  follow - - f,x(i)
   0.1262981898D+04  0.12938D+01 -0.18366D+02  0.61732D-01  0.15770D+00  0.19999D+02 -0.14747D+00 -0.78251D-01

step to unallowed region , parameters for fcn entry   299 follow - - x(i)
                     0.12938D+01 -0.18366D+02  0.61732D-01  0.15770D+00  0.20002D+02 -0.14747D+00 -0.78251D-01

step to unallowed region , parameters for fcn entry   302 follow - - x(i)
                     0.12938D+01 -0.18366D+02  0.61732D-01  0.15770D+00  0.20001D+02 -0.14747D+00 -0.78251D-01

step to unallowed region , parameters for fcn entry   303 follow - - x(i)
                     0.12938D+01 -0.18366D+02  0.61732D-01  0.15770D+00  0.20001D+02 -0.14747D+00 -0.78251D-01

new absolute minimum , parameters for fcn entry   301  follow - - f,x(i)
   0.1262981875D+04  0.12938D+01 -0.18366D+02  0.61732D-01  0.15770D+00  0.20000D+02 -0.14747D+00 -0.78251D-01

new absolute minimum , parameters for fcn entry   307  follow - - f,x(i)
   0.1262981869D+04  0.12938D+01 -0.18366D+02  0.61732D-01  0.15770D+00  0.20000D+02 -0.14850D+00 -0.78251D-01

new absolute minimum , parameters for fcn entry   311  follow - - f,x(i)
   0.1262981843D+04  0.12938D+01 -0.18366D+02  0.61732D-01  0.15770D+00  0.20000D+02 -0.14850D+00 -0.78152D-01

new absolute minimum , parameters for fcn entry   319  follow - - f,x(i)
   0.1262981842D+04  0.12937D+01 -0.18366D+02  0.61732D-01  0.15770D+00  0.20000D+02 -0.14850D+00 -0.78152D-01

new absolute minimum , parameters for fcn entry   335  follow - - f,x(i)
   0.1262981836D+04  0.12937D+01 -0.18366D+02  0.61774D-01  0.15770D+00  0.20000D+02 -0.14850D+00 -0.78152D-01

new absolute minimum , parameters for fcn entry   339  follow - - f,x(i)
   0.1262981836D+04  0.12937D+01 -0.18366D+02  0.61774D-01  0.15774D+00  0.20000D+02 -0.14850D+00 -0.78152D-01

step to unallowed region , parameters for fcn entry   342 follow - - x(i)
                     0.12937D+01 -0.18366D+02  0.61774D-01  0.15774D+00  0.20001D+02 -0.14850D+00 -0.78152D-01

step to unallowed region , parameters for fcn entry   343 follow - - x(i)
                     0.12937D+01 -0.18366D+02  0.61774D-01  0.15774D+00  0.20000D+02 -0.14850D+00 -0.78152D-01

new absolute minimum , parameters for fcn entry   341  follow - - f,x(i)
   0.1262981825D+04  0.12937D+01 -0.18366D+02  0.61774D-01  0.15774D+00  0.20000D+02 -0.14850D+00 -0.78152D-01

new absolute minimum , parameters for fcn entry   347  follow - - f,x(i)
   0.1262981824D+04  0.12937D+01 -0.18366D+02  0.61774D-01  0.15774D+00  0.20000D+02 -0.14885D+00 -0.78152D-01

new absolute minimum , parameters for fcn entry   351  follow - - f,x(i)
   0.1262981821D+04  0.12937D+01 -0.18366D+02  0.61774D-01  0.15774D+00  0.20000D+02 -0.14885D+00 -0.78118D-01

new absolute minimum , parameters for fcn entry   361  follow - - f,x(i)
   0.1262981821D+04  0.12936D+01 -0.18366D+02  0.61774D-01  0.15774D+00  0.20000D+02 -0.14885D+00 -0.78118D-01

new absolute minimum , parameters for fcn entry   364  follow - - f,x(i)
   0.1262981821D+04  0.12936D+01 -0.18366D+02  0.61774D-01  0.15774D+00  0.20000D+02 -0.14885D+00 -0.78118D-01

new absolute minimum , parameters for fcn entry   372  follow - - f,x(i)
   0.1262981820D+04  0.12936D+01 -0.18366D+02  0.61788D-01  0.15774D+00  0.20000D+02 -0.14885D+00 -0.78118D-01

new absolute minimum , parameters for fcn entry   379  follow - - f,x(i)
   0.1262981820D+04  0.12936D+01 -0.18366D+02  0.61788D-01  0.15776D+00  0.20000D+02 -0.14885D+00 -0.78118D-01

step to unallowed region , parameters for fcn entry   382 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61788D-01  0.15776D+00  0.20000D+02 -0.14885D+00 -0.78118D-01

step to unallowed region , parameters for fcn entry   383 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61788D-01  0.15776D+00  0.20000D+02 -0.14885D+00 -0.78118D-01

new absolute minimum , parameters for fcn entry   381  follow - - f,x(i)
   0.1262981815D+04  0.12936D+01 -0.18366D+02  0.61788D-01  0.15776D+00  0.20000D+02 -0.14885D+00 -0.78118D-01

new absolute minimum , parameters for fcn entry   387  follow - - f,x(i)
   0.1262981815D+04  0.12936D+01 -0.18366D+02  0.61788D-01  0.15776D+00  0.20000D+02 -0.14897D+00 -0.78118D-01

new absolute minimum , parameters for fcn entry   394  follow - - f,x(i)
   0.1262981815D+04  0.12936D+01 -0.18366D+02  0.61788D-01  0.15776D+00  0.20000D+02 -0.14897D+00 -0.78107D-01

new absolute minimum , parameters for fcn entry   405  follow - - f,x(i)
   0.1262981815D+04  0.12936D+01 -0.18366D+02  0.61788D-01  0.15776D+00  0.20000D+02 -0.14897D+00 -0.78107D-01

new absolute minimum , parameters for fcn entry   415  follow - - f,x(i)
   0.1262981815D+04  0.12936D+01 -0.18366D+02  0.61793D-01  0.15776D+00  0.20000D+02 -0.14897D+00 -0.78107D-01

new absolute minimum , parameters for fcn entry   419  follow - - f,x(i)
   0.1262981815D+04  0.12936D+01 -0.18366D+02  0.61793D-01  0.15776D+00  0.20000D+02 -0.14897D+00 -0.78107D-01

step to unallowed region , parameters for fcn entry   421 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61793D-01  0.15776D+00  0.20000D+02 -0.14897D+00 -0.78107D-01

step to unallowed region , parameters for fcn entry   424 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61793D-01  0.15776D+00  0.20000D+02 -0.14897D+00 -0.78107D-01

new absolute minimum , parameters for fcn entry   425  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61793D-01  0.15776D+00  0.20000D+02 -0.14897D+00 -0.78107D-01

new absolute minimum , parameters for fcn entry   432  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61793D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78107D-01

new absolute minimum , parameters for fcn entry   436  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61793D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78103D-01

new absolute minimum , parameters for fcn entry   443  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61793D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78103D-01

new absolute minimum , parameters for fcn entry   453  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78103D-01

new absolute minimum , parameters for fcn entry   460  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78103D-01

step to unallowed region , parameters for fcn entry   462 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78103D-01

step to unallowed region , parameters for fcn entry   466 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78103D-01

step to unallowed region , parameters for fcn entry   467 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78103D-01

new absolute minimum , parameters for fcn entry   465  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14901D+00 -0.78103D-01

new absolute minimum , parameters for fcn entry   471  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78103D-01

new absolute minimum , parameters for fcn entry   478  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

new absolute minimum , parameters for fcn entry   485  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

new absolute minimum , parameters for fcn entry   501  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

new absolute minimum , parameters for fcn entry   505  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

step to unallowed region , parameters for fcn entry   507 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

step to unallowed region , parameters for fcn entry   510 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

step to unallowed region , parameters for fcn entry   511 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

new absolute minimum , parameters for fcn entry   509  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

new absolute minimum , parameters for fcn entry   518  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78102D-01

new absolute minimum , parameters for fcn entry   522  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   529  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   538  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   542  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

step to unallowed region , parameters for fcn entry   545 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   546  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   550  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   557  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   560  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   573  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   579  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

step to unallowed region , parameters for fcn entry   581 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

step to unallowed region , parameters for fcn entry   583 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

step to unallowed region , parameters for fcn entry   586 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

step to unallowed region , parameters for fcn entry   587 follow - - x(i)
                     0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   585  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   591  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   595  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01

new absolute minimum , parameters for fcn entry   596  follow - - f,x(i)
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01


the function (fcn) has not improved by    0.10000D-06 after 3 steps which include a minimum - - -


therefore the run has been terminated
   0.1262981813D+04  0.12936D+01 -0.18366D+02  0.61795D-01  0.15776D+00  0.20000D+02 -0.14903D+00 -0.78101D-01


all numbers of last entry refer to final pt. of run


the lowest value of the function (fcn) was   0.1262981813D+04 for entry  596 - - x(i) follows
  0.12936E+01 -0.18366E+02  0.61795E-01  0.15776E+00  0.20000E+02 -0.14903E+00 -0.78101E-01



run statistics follow - -

 nfcn=  598 nst=  112


MRS of X(l) with respect to X(k) - at the sample means
===================================================================================================================================
        X(k) POP         REVE        LANGFR      UTILITY     CONSTANT  
X(l)
===================================================================================================================================

POP          0.1000D+01  0.5343D+02  0.9507D+03  0.3555D+07  0.5750D+06

REVE         0.1872D-01  0.1000D+01  0.1779D+02  0.6654D+05  0.1076D+05

LANGFR       0.1052D-02  0.5620D-01  0.1000D+01  0.3739D+04  0.6048D+03

UTILITY      0.2813D-06  0.1503D-04  0.2674D-03  0.1000D+01  0.1617D+00

CONSTANT     0.1739D-05  0.9292D-04  0.1653D-02  0.6183D+01  0.1000D+01


FINAL ESTIMATES

             LAM    PARAMETER      STD-ERROR        STUDENT-T      STUDENT-T    GRADIENT       DERIV.Y         ELAST.Y
                                   (CONDIT.)        (CONDIT.)      (CONDIT.)                   DERIV.E(Y)      ELAST.E(Y)
                                                    (PAR = 0)      (PAR = 1)

POP           X1  0.3844695D+00  0.3395237D+00      1.1323790                -0.5949814D-10  0.4108519D+00      1.4738694
                                 0.1028806D-01     37.3704616                                0.3878943D+00      1.5402459

REVE          X2  0.3429514D-72  0.4746910D-70      0.0072247                -0.9062675D+59  0.2195164D+02      0.6331293
                                 0.1572574D-72      2.1808276                                0.3198663D+02      1.1378262

LANGFR        X3  0.7672121D+00  0.8161215D+00      0.9400710                -0.1680101D-11  0.3905887D+03      0.1938763
                                 0.1232260D+00      6.2260574                                0.5236963D+03      0.2164132

UTILITY       X4  0.8018818D+00  0.2936294D+00      2.7309314                 0.3009185D-11  0.1460565D+07      0.4862526
                                 0.3272138D-01     24.5063515                                0.3883148D+08      0.6869801

CONSTANT      X0  0.3338211D+01  0.4787989D+01      0.6972052                 0.1689165D-13  0.2362313D+06      1.5998453
                                 0.8778457D+00      3.8027309                                0.2247494D+06      1.7331970

VAR(W)            0.1347386D+00  0.7245230D-01      1.8596874                 0.0000000D+00
                                 0.1929170D-01      6.9842808
 
RHO1      (E)     0.8600728D+00  0.5433761D-01     15.8283167                -0.1119068D-05
                                 0.5226595D-01     16.4557006
PI1       (E)     0.1056291D-07  0.9568148D-01      0.0000001    -10.4513435 -0.2479371D+02
                                 0.8164676D-01      0.0000001    -12.2478836
 
LAM(Y)    (E)     0.6179527D-01  0.2515520D-01      2.4565609    -37.2966586  0.1319790D-03
LAM(X1)   (E)     0.1577617D+00  0.6010266D-01      2.6248695    -14.0133279  0.1104556D-04
LAM(X2)   (E)     0.2000000D+02  0.1642241D+02      1.2178483      1.1569559  0.5170136D-01
LAM(X3)   (E)    -0.1490323D+00  0.3460289D+00     -0.4306933     -3.3206249 -0.2461131D-05
LAM(X4)   (E)    -0.7810106D-01  0.2617208D-01     -2.9841366    -41.1927917  0.9156039D-05


LOG-LIKELIHOOD = -0.1262982D+04

NUMBER OF OBSERVATIONS              =            120

PEARSON-R2(E) (unadjusted)          =         0.9962
PEARSON-R2(E) (adjusted for D.F.)   =         0.9959

PSEUDO-R2(L)  (unadjusted)          =         0.9888
PSEUDO-R2(L)  (adjusted for D.F.)   =         0.9876

PROBABILITY of Y to be at the limit =         0.0000
MEAN VALUE of E(Y)                  =  0.1513732D+06

MEAN of residual W                  = -0.8002535D-01
VARIANCE of residual W              =  0.1347386D+00
95% CONFIDENCE INTERVAL for residual W
Lower Bound = -0.7994779D+00   Upper Bound =  0.6394272D+00


CPU TIME:     13.72 sec
