 PROGRAM MLMNPB

 MAXIMUM LIKELIHOOD ESTIMATION OF
 LINEAR-IN-PARAMETERS MULTINOMIAL PROBIT MODELS
 (BOUNDS ARE ENFORCED; STATISTICS ARE NOT COMPUTED)


  NUMBER OF OBSERVATIONS.................  50
  NUMBER OF ALTERNATIVES PER CHOICE SET..   3
  EQUAL WEIGHTS FOR ALL OBSERVATIONS
  NO INTEGER EXPLANATORY VARIABLES
  NUMBER OF REAL DATA VALUES PER OBS.....   3
  OUTPUT UNIT............................   6

  COVARIANCE TYPE = INVERSE GAUSS-NEWTON HESSIAN
  NO REGRESSION DIAGNOSTICS REQUESTED
 
  *** NOTE:  NALT SET EQUAL TO ICSET ***
  NUMBER OF NOMINAL VARIABLES............   3
  NUMBER OF ATTRIBUTES PER ALTERNATIVE...   1
  NOMINAL DUMMIES USED
  CORRELATED ERROR TERMS
  UNCORRELATED RANDOM TASTE VARIATION

  NUMBER OF MODEL PARAMETERS.............   6

 INITIAL PARAMETER VECTOR AND BOUNDS: 
  1 TTIME       0.000000E+00 -0.100000E+03  0.100000E+03
  2 DBUS        0.000000E+00 -0.100000E+03  0.100000E+03
  3 DSTREETC    0.000000E+00 -0.100000E+03  0.100000E+03
  4 B21         0.100000E+01 -0.100000E+03  0.100000E+03
  5 B22         0.100000E+01 -0.100000E+03  0.100000E+03
  6 SigT        0.100000E+01  0.100000E-03  0.100000E+03

 NONDEFAULT VALUES....

 DTYPE..... IV(16) =  0
 DINIT..... V(38) =  0.1000000E+01

     I     INITIAL X(I)        D(I)

     1     0.000000E+00     0.100E+01
     2     0.000000E+00     0.100E+01
     3     0.000000E+00     0.100E+01
     4     0.100000E+01     0.100E+01
     5     0.100000E+01     0.100E+01
     6     0.100000E+01     0.100E+01

    IT   NF      F       RELDF   PRELDF   RELDX  MODEL  STPPAR  D*STEP  NPRELDF

     0    1 0.535E+02
     1    2 0.346E+02 0.35E+00 0.30E+00 0.4E+00    G   0.6E+01 0.1E+01 0.33E+00
     2    4 0.327E+02 0.55E-01 0.51E-01 0.9E-01    G   0.8E+01 0.4E+00 0.66E-01
     3    5 0.324E+02 0.67E-02 0.19E-01 0.2E+00    G   0.2E+00 0.8E+00 0.25E-01
     4    7 0.323E+02 0.59E-02 0.19E-01 0.1E+00    G   0.7E+00 0.4E+00 0.22E-01
     5    8 0.321E+02 0.57E-02 0.50E-02 0.4E-01    S   0.0E+00 0.2E+00 0.50E-02
     6    9 0.321E+02 0.65E-03 0.49E-03 0.7E-01    S   0.0E+00 0.2E+00 0.49E-03
     7   10 0.320E+02 0.11E-02 0.57E-03 0.1E+00    S   0.0E+00 0.2E+00 0.57E-03
     8   11 0.320E+02 0.87E-03 0.73E-03 0.2E+00    S   0.0E+00 0.3E+00 0.73E-03
     9   12 0.320E+02 0.52E-04 0.51E-04 0.1E-01    S   0.0E+00 0.2E-01 0.51E-04
    10   13 0.320E+02 0.51E-06 0.43E-06 0.1E-02    S   0.0E+00 0.2E-02 0.43E-06
    11   14 0.320E+02 0.44E-07 0.50E-07 0.8E-03    S   0.0E+00 0.1E-02 0.50E-07
    12   15 0.320E+02 0.45E-08 0.43E-08 0.1E-03    S   0.0E+00 0.2E-03 0.43E-08
    13   16 0.320E+02 0.36E-09 0.31E-09 0.3E-04    S   0.0E+00 0.5E-04 0.31E-09
    14   17 0.320E+02 0.17E-10 0.17E-10 0.1E-04    S   0.0E+00 0.2E-04 0.17E-10

 ***** RELATIVE FUNCTION CONVERGENCE *****

 FUNCTION     0.319875E+02   RELDX        0.143E-04
 FUNC. EVALS      17         GRAD. EVALS      15
 PRELDF       0.174E-10      NPRELDF      0.174E-10

     I      FINAL X(I)        D(I)          G(I)

     1   -0.235784E+00     0.100E+01    -0.225E-04
     2   -0.228115E+00     0.100E+01    -0.104E-05
     3   -0.646309E-03     0.100E+01     0.157E-05
     4    0.365699E+00     0.100E+01     0.175E-05
     5    0.614113E+00     0.100E+01    -0.124E-04
     6    0.122138E+00     0.100E+01     0.146E-04

 NUMBER OF OBSERVATIONS (NOBS) =   50

 LOG-LIKELIHOOD L(EST)  = -0.319875E+02
 LOG-LIKELIHOOD L(0)    = -0.549306E+02
 -2[L(0) - L(EST)]:     =  0.458863E+02

 1 - L(EST)/L(0):       =  0.417675E+00
 1 - (L(EST)-NPAR)/L(0) =  0.308446E+00

 (FIXED CHOICE SET SIZE)

 AGGREGATE CHOICES AND MARKET SHARES: 
   1      14.000  0.2800
   2      29.000  0.5800
   3       7.000  0.1400

 STATISTICS FOR CONSTANTS-ONLY MODEL:
    LOG-LIKELIHOOD L(C)    = -0.473814E+02
    -2[L(C) - L(EST)]:     =  0.307878E+02



 OUTPUT FOR CONVENIENT RESTART:
 TTIME   
  -0.235784E+00 -0.100000E+03  0.100000E+03
 DBUS    
  -0.228115E+00 -0.100000E+03  0.100000E+03
 DSTREETC
  -0.646309E-03 -0.100000E+03  0.100000E+03
 B21     
   0.365699E+00 -0.100000E+03  0.100000E+03
 B22     
   0.614113E+00 -0.100000E+03  0.100000E+03
 SigT    
   0.122138E+00  0.100000E-03  0.100000E+03
