 &CARD1
 NOBS    =        1000,
 NC      =           1,
 NF      =        1000,
 NFP     =        1000,
 NOBEL   =           1,
 NM      =           0,
 NSTEP   =         500,
 EPSI    =  1.000000000000000E-007,
 WGHT    =   1.00000000000000     
 /
 &CARD2
 NB      =           3,
 NRO     =           0,
 NSL     =           0,
 NGF     =           0,
 MAXF    =           0,
 NGV     =           1,
 MAXV    =           3,
 NLY     =           2,
 NDM     =          -1,
 NLE     =           0,
 ND      =           0
 /
 &CARD3
 NCOR    =           0,
 NRES    =           0,
 NPW     =           0,
 NGUVW   =           0,
 NPDQL   =           0,
 NCOV    =           0,
 NEY     =           0,
 VARNAME = BC1      ,
 NVARIANT        =           8
 /



Working space used : 18183 out of 500000


 group           1 (estimated lambda(x))
 initial value:   1.00000000000000     
 variable no.
   1   2   3


 lambda(y) is set equal to lambda(x) of group no.            1
 lambda(y) initial value:   1.00000000000000     
 upper limit for y   0.000000000000000E+000



no.  variable       minimum        mean         maximum    null obs.

     Tij          0.58995D+04   0.25740D+08   0.34194D+09        0
  1  Ti           0.15809D+05   0.18607D+06   0.35135D+06        0
  2  Tj           0.69620D+04   0.18512D+06   0.43378D+06        0
  3  Util_BC4     0.38681D-07   0.73462D-03   0.13996D-01        0
  4  constant     0.10000D+01   0.10000D+01   0.10000D+01        0


INITIAL ESTIMATES
                                                                                       E L A S T I C I T Y   E L A S T I C I T Y
    VARIABLE     LAMBDA(X)    COEFFICIENT      MEAN(X)       STD-ERROR    STUDENT-T    y(sample)  E(y)       y(sample)  E(y)
                                                                                                  SIGMA(y)              SIGMA(y)
                                                                                                  GAMMA(y)              GAMMA(y)
                type  group                                                            -first obs       1    -first obs    1000
                                                                                       -last obs     1000    -last obs     1000
  1 Ti           EL     1    0.2352210D+02  0.1860662D+06  0.1583306D+02     1.4856      0.1700     0.1100     0.0682     0.0572
                                                                                                    0.0385                0.0009
                                                                                                   -0.1361               -0.4707
  2 Tj           EL     1    0.4468529D+02  0.1851223D+06  0.1301859D+02     3.4324      0.3214     0.2078     0.0396     0.0332
                                                                                                    0.0727                0.0005
                                                                                                   -0.2572               -0.2733
  3 Util_BC4     EL     1    0.8938000D+10  0.7346229D-03  0.6409860D+09    13.9441      0.2551     0.1650     1.0059     0.8439
                                                                                                    0.0577                0.0132
                                                                                                   -0.2042               -6.9381
  4 constant     NL     0    0.8944525D+10  0.1000000D+01  0.6398456D+09    13.9792    347.4998   224.7234   103.8457    87.1218
                                                                                                   78.6383                1.3622
                                                                                                 -278.1340             -716.2481

LAMBDA TYPE SYMBOL:
 NL = NO LAMBDA
 FL = FIXED LAMBDA
 EL = ESTIMATED LAMBDA



Derivatives of y(sample), E(y), SIGMA(y) and GAMMA(y)
with respect to the Independent Variables at the sample means

    Variable    Der.y(sample)  Der.E(y)       Der.SIGMA(y)   Der.GAMMA(y)

  1 Ti          0.2352210D+02  0.1804486D+02  0.5880990D+01 -0.5818744D-06

  2 Tj          0.4468529D+02  0.3428009D+02  0.1117221D+02 -0.1105396D-05

  3 Util_BC4    0.8938000D+10  0.6856741D+10  0.2234677D+10 -0.2211025D+03

  4 constant    0.8944525D+10  0.6861747D+10  0.2236308D+10 -0.2212639D+03

MRS between two moments (E(y), SIGMA(y), GAMMA(y))
at the sample means
===============================================

row / col    E(y)        SIGMA(y)    GAMMA(y)  
===============================================

E(y)         0.1000D+01  0.3068D+01 -0.3101D+08

SIGMA(y)     0.3259D+00  0.1000D+01 -0.1011D+08

GAMMA(y)    -0.3225D-07 -0.9894D-07  0.1000D+01


Elasticity of substitution between two moments
(E(y), SIGMA(y), GAMMA(y)) at the sample means
===============================================

row / col    E(y)        SIGMA(y)    GAMMA(y)  
===============================================

E(y)         0.1000D+01  0.2858D+01 -0.8080D+00

SIGMA(y)     0.3499D+00  0.1000D+01 -0.2827D+00

GAMMA(y)    -0.1238D+01 -0.3537D+01  0.1000D+01


MRS of X(l) with respect to X(k) at the sample means
===================================================================================================================================
        X(k) Ti          Tj          Util_BC4    constant  
X(l)
===================================================================================================================================

Ti           0.1000D+01  0.1900D+01  0.3800D+09  0.3803D+09

Tj           0.5264D+00  0.1000D+01  0.2000D+09  0.2002D+09

Util_BC4     0.2632D-08  0.4999D-08  0.1000D+01  0.1001D+01

constant     0.2630D-08  0.4996D-08  0.9993D+00  0.1000D+01


Mean probability of y to be at the lower (upper) limit
if lambda(y) is positive (negative) = 0.2514

Estimation Sample   :       1    1000

             OBSERVED Y     FITTED E(Y)
MEAN         0.2573965D+08  0.3119301D+08
STD.ERROR    0.3864076D+08  0.1413690D+08
SKEWNESS         3.4428570      4.5458730

E(y) at the means   :  0.3053418D+08

Sig(y) at the means :  0.2843791D+08

C.o.V. at the means :      0.9313466

Gam(y) at the means :      0.7955296

Pearson-R2          :      0.1440137

Pearson-R2 bar      :      0.1414354

Pseudo-(l)-R2       :      0.1653107

Pseudo-(l)-R2 bar   :      0.1627965

Error Variance      :  0.1245035D+16

Log-likelihood      : -0.1879791D+05


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)

                                                                              
         1       500   0.1D+01   0.1D-06
  0.10000D+01
  0.10000D+01
  0.00000D+00

first entry to fcn , parameters of current step follow - - f,x(i)
   0.3772278291D+03  0.10000D+01

new absolute minimum , parameters for fcn entry     7  follow - - f,x(i)
  -0.9380555328D+03  0.34688D-01

new absolute minimum , parameters for fcn entry     8  follow - - f,x(i)
  -0.9380555328D+03  0.34688D-01

new absolute minimum , parameters for fcn entry    10  follow - - f,x(i)
  -0.9380555328D+03  0.34688D-01


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


therefore the run has been terminated
  -0.9380555328D+03  0.34688D-01

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

the lowest value of the function (fcn) was  -0.9380555328D+03 for entry   10 - - x(i) follows
  0.34688D-01



run statistics follow - -

nfcn=   14 nst=    4


Mean probability of y to be at the lower (upper) limit
if lambda(y) is positive (negative) = 0.0000

Estimation Sample   :       1    1000

             OBSERVED Y     FITTED E(Y)
MEAN         0.2573965D+08  0.3120904D+08
STD.ERROR    0.3864076D+08  0.4136804D+08
SKEWNESS         3.4428570      2.9939027

E(y) at the means   :  0.5330390D+08

Sig(y) at the means :  0.7145523D+08

C.o.V. at the means :      1.3405256

Gam(y) at the means :      5.4975137

Pearson-R2          :      0.2482401

Pearson-R2 bar      :      0.2452180

Pseudo-(l)-R2       :      0.5738653

Pseudo-(l)-R2 bar   :      0.5721522

Error Variance      :  0.3791725D+01

Log-likelihood      : -0.1748263D+05


FINAL ESTIMATES
                                                                                       E L A S T I C I T Y   E L A S T I C I T Y
    VARIABLE     LAMBDA(X)    COEFFICIENT     GRADIENT       STD-ERROR    STUDENT-T    y(sample)  E(y)       y(sample)  E(y)
                                                                                                  SIGMA(y)              SIGMA(y)
                                                                                                  GAMMA(y)              GAMMA(y)
                type  group                                                            -first obs       1    -first obs    1000
                                                                                       -last obs     1000    -last obs     1000
  1 Ti           EL     1    0.6135477D+00 -0.5903458D-08  0.8034763D-01     7.6362      0.5171     0.4953     0.5010     0.4818
                                                           0.7104245D-01     8.6364                 0.4696                0.4574
                                                                                                   -0.0383               -0.0357
  2 Tj           EL     1    0.7601604D+00 -0.5933651D-08  0.7134007D-01    10.6554      0.6406     0.6135     0.5957     0.5728
                                                           0.6334096D-01    12.0011                 0.5817                0.5439
                                                                                                   -0.0474               -0.0424
  3 Util_BC4     EL     1    0.1384299D+01  0.2749771D-08  0.4149473D+00     3.3361      0.5963     0.5711     0.6254     0.6013
                                                           0.3891623D-01    35.5713                 0.5415                0.5710
                                                                                                   -0.0441               -0.0445
  4 constant     NL     0    0.1174838D+02 -0.3702322D-09  0.2710271D+01     4.3348      6.5001     6.2258     6.2333     5.9940
                                                           0.1473829D+01     7.9713                 5.9031                5.6911
                                                                                                   -0.4810               -0.4440
    Box-cox on (x)

  5 lambda(x) 1 = lambda(y)  0.3468828D-01 -0.4492537D-06  0.1221442D-01     2.8399
                                                                           -79.0305

    Residual (w)

  6 error variance           0.3791725D+01  0.4067024D-12  0.1484421D+01     2.5543
                                                           0.1656276D+00    22.8931


LAMBDA TYPE SYMBOL:
 NL = NO LAMBDA
 FL = FIXED LAMBDA
 EL = ESTIMATED LAMBDA



Derivatives of y(sample), E(y), SIGMA(y) and GAMMA(y)
with respect to the Independent Variables at the sample means

    Variable    Der.y(sample)  Der.E(y)       Der.SIGMA(y)   Der.GAMMA(y)

  1 Ti          0.7153491D+02  0.1418900D+03  0.1803484D+03 -0.1130657D-05

  2 Tj          0.8906502D+02  0.1766611D+03  0.2245439D+03 -0.1407732D-05

  3 Util_BC4    0.2089278D+11  0.4144099D+11  0.5267330D+11 -0.3302243D+03

  4 constant    0.1673091D+09  0.3318589D+09  0.4218070D+09 -0.2644431D+01

MRS between two moments (E(y), SIGMA(y), GAMMA(y))
at the sample means
===============================================

row / col    E(y)        SIGMA(y)    GAMMA(y)  
===============================================

E(y)         0.1000D+01  0.7868D+00 -0.1255D+09

SIGMA(y)     0.1271D+01  0.1000D+01 -0.1595D+09

GAMMA(y)    -0.7969D-08 -0.6269D-08  0.1000D+01


Elasticity of substitution between two moments
(E(y), SIGMA(y), GAMMA(y)) at the sample means
===============================================

row / col    E(y)        SIGMA(y)    GAMMA(y)  
===============================================

E(y)         0.1000D+01  0.1055D+01 -0.1294D+02

SIGMA(y)     0.9482D+00  0.1000D+01 -0.1227D+02

GAMMA(y)    -0.7726D-01 -0.8149D-01  0.1000D+01


MRS of X(l) with respect to X(k) at the sample means
===================================================================================================================================
        X(k) Ti          Tj          Util_BC4    constant  
X(l)
===================================================================================================================================

Ti           0.1000D+01  0.1245D+01  0.2921D+09  0.2339D+07

Tj           0.8032D+00  0.1000D+01  0.2346D+09  0.1879D+07

Util_BC4     0.3424D-08  0.4263D-08  0.1000D+01  0.8008D-02

constant     0.4276D-06  0.5323D-06  0.1249D+03  0.1000D+01


Log-likelihood

    - initial value :    -18797.9086

    - final value   :    -17482.6252

    - ratio test    :      2630.5667


  Pearson-r2     :            0.2482

  Pearson-r2 bar :            0.2452

  Pseudo-(l)-r2     :         0.5739

  Pseudo-(l)-r2 bar :         0.5722

  Std-error of (w)  :         1.9472



  Number of observations    first-last obs.no.

    - sample     :   1000           1 -    1000

    - estimation :   1000           1 -    1000



CPU TIME:      0.14 sec
