 &MODEL
 NLIST   =           1,
 NSTEP   =        2000,
 EPSI    =  1.0000000E-07,
 WGHT    =   1.000000    ,
 NOBS    =         120,
 NVAXZ   =           4,
 NVAX    =           4,
 NORDER  =           2,
 NVAZ    =           0,
 NLAMZ   =           0,
 NLAMY   =           1,
 NLAMX   =           1,
 NSCALE  =           0,
 NEXPY   =           0,
 NRES    =           0,
 NCOR    =           0,
 NCOV    =           0,
 VARNAME = LOG+A1A2P,
 NVARIANT        =           6
 /
 &AUTOCOR
 RHO     = 2*0.000000000000000E+000  ,
 PI      = 2*1.00000000000000        ,
 NTPI    = 2*1,
 MATFILE = R1.in                                                                           R2.in                                     
                                       
 /
 &YBOXCOX
 VLY     =  0.000000000000000E+000,
 NTLY    =           0,
 NUMLXY  =           1
 /
 &XBOXCOX
 NUMX    =           1,           2,           3,           4, 46*0,
 NUMLX   = 4*1, 46*0,
 VLX     = 10*0.000000000000000E+000  ,
 NTLX    = 10*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          X1  0.8322593D+00  0.6932686D+00      1.2004861 -0.6618732D-06  0.2885581D+02      0.8322593
                                                                              0.3626500D+02      0.8322593

LANGFR        X1  0.6643968D-01  0.5550501D-01      1.1970033 -0.3276004D-06  0.1338513D+03      0.0664397
                                                                              0.1916400D+03      0.0664397

UTILITY       X1  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
RHO2           0.0000000D+00
PI1            0.9900000D+00
PI2            0.9900000D+00
 
LAM(Y)         0.0000000D+00
LAM(X1)        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
         4      2000   0.1E+01   0.1E-06
  0.00000E+00  0.00000E+00  0.45951E+01  0.45951E+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

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

new absolute minimum , parameters for fcn entry     6  follow - - f,x(i)
   0.1306140297D+04  0.43996D+00  0.34415D+00  0.45951D+01  0.45951D+01

new absolute minimum , parameters for fcn entry     8  follow - - f,x(i)
   0.1306121439D+04  0.45680D+00  0.32422D+00  0.45945D+01  0.45959D+01

new absolute minimum , parameters for fcn entry    11  follow - - f,x(i)
   0.1306094900D+04  0.47754D+00  0.33596D+00  0.39645D+01  0.52612D+01

new absolute minimum , parameters for fcn entry    19  follow - - f,x(i)
   0.1301947167D+04  0.55849D+00  0.34291D+00 -0.51510D+01  0.14498D+02

new absolute minimum , parameters for fcn entry    22  follow - - f,x(i)
   0.1301635619D+04  0.65923D+00  0.29692D+00 -0.12627D+02  0.22081D+02

new absolute minimum , parameters for fcn entry    24  follow - - f,x(i)
   0.1301137277D+04  0.70576D+00  0.21059D+00 -0.17861D+02  0.27450D+02

new absolute minimum , parameters for fcn entry    27  follow - - f,x(i)
   0.1301105591D+04  0.67732D+00  0.21965D+00 -0.15671D+02  0.25233D+02

new absolute minimum , parameters for fcn entry    29  follow - - f,x(i)
   0.1301104592D+04  0.67855D+00  0.21590D+00 -0.15843D+02  0.25410D+02

new absolute minimum , parameters for fcn entry    30  follow - - f,x(i)
   0.1301104592D+04  0.67848D+00  0.21592D+00 -0.15837D+02  0.25404D+02

new absolute minimum , parameters for fcn entry    31  follow - - f,x(i)
   0.1301104592D+04  0.67853D+00  0.21590D+00 -0.15841D+02  0.25408D+02

new absolute minimum , parameters for fcn entry    32  follow - - f,x(i)
   0.1301104592D+04  0.67849D+00  0.21592D+00 -0.15838D+02  0.25405D+02


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


therefore the run has been terminated
   0.1301104592D+04  0.67849D+00  0.21592D+00 -0.15838D+02  0.25405D+02


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


the lowest value of the function (fcn) was   0.1301104592D+04 for entry   32 - - x(i) follows
  0.67849E+00  0.21592E+00 -0.15838E+02  0.25405E+02



run statistics follow - -

 nfcn=   32 nst=   11


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  0.8176D+02  0.1449D+04  0.4071D+07 -0.5133D+07

REVE         0.1223D-01  0.1000D+01  0.1772D+02  0.4979D+05 -0.6277D+05

LANGFR       0.6900D-03  0.5642D-01  0.1000D+01  0.2809D+04 -0.3542D+04

UTILITY      0.2457D-06  0.2009D-04  0.3560D-03  0.1000D+01 -0.1261D+01

CONSTANT    -0.1948D-06 -0.1593D-04 -0.2824D-03 -0.7931D+00  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  0.1430122D+01  0.4920690D-01     29.0634380                 0.5486069D-07  0.3986569D+00      1.4301217
                                 0.4920690D-01     29.0634380                                0.4482214D+00      1.4301217

REVE          X1  0.9401103D+00  0.7326307D+00      1.2831981                 0.3490498D-07  0.3259518D+02      0.9401103
                                 0.7326307D+00      1.2831981                                0.3713554D+02      0.9401103

LANGFR        X1  0.2867702D+00  0.7622487D-01      3.7621611                 0.1759590D-07  0.5777354D+03      0.2867702
                                 0.7622487D-01      3.7621611                                0.7693893D+03      0.2867702

UTILITY       X1  0.5402572D+00  0.2880316D-01     18.7568702                -0.3054478D-07  0.1622779D+07      0.5402572
                                 0.2880316D-01     18.7568702                                0.2443074D+08      0.5402572

CONSTANT      X0 -0.1385711D+02  0.5987648D+01     -2.3142828                 0.4165634D-08 -0.2046125D+07    -13.8571105
                                 0.5987648D+01     -2.3142828                               -0.2342109D+07    -13.8571105

VAR(W)            0.7440916D-01  0.1118575D-01      6.6521363                 0.0000000D+00
                                 0.1118575D-01      6.6521363
 
RHO1      (E)     0.5905379D+00  0.9597389D-01      6.1531102                 0.2389608D-02
                                 0.9597389D-01      6.1531102
RHO2      (E)     0.2126246D+00  0.1625174D+00      1.3083195                 0.1977480D-03
                                 0.1625174D+00      1.3083195
PI1       (E)     0.1322913D-06  0.4504088D-01      0.0000029    -22.2020518  0.2810911D+02
                                 0.4504088D-01      0.0000029    -22.2020518
PI2       (E)     0.1000000D+01  0.1572011D+01      0.6361277      0.0000000  0.4636406D+01
                                 0.1572011D+01      0.6361277      0.0000000
 
LAM(Y)    (F)     0.0000000D+00
LAM(X1)   (F)     0.0000000D+00


LOG-LIKELIHOOD = -0.1301105D+04

NUMBER OF OBSERVATIONS              =            120

PEARSON-R2(E) (unadjusted)          =         0.9460
PEARSON-R2(E) (adjusted for D.F.)   =         0.9421

PSEUDO-R2(L)  (unadjusted)          =         0.9832
PSEUDO-R2(L)  (adjusted for D.F.)   =         0.9820

PROBABILITY of Y to be at the limit =         0.0000
MEAN VALUE of E(Y)                  =  0.1690185D+06

MEAN of residual W                  = -0.1128941D-01
VARIANCE of residual W              =  0.7440916D-01
95% CONFIDENCE INTERVAL for residual W
Lower Bound = -0.5459390D+00   Upper Bound =  0.5233602D+00


CPU TIME:      1.38 sec
