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Output from the program FRONTIER (Version 4.1c)
instruction file = 111h.ins
data file = 111h.dta
Tech. Eff. Effects Frontier (see B&C 1993)
The model is a cost function
The dependent variable is not logged
the ols estimates are :
coefficient standard-error t-ratio
beta 0 0.15556280E+02 0.67742414E+01 0.22963869E+01
beta 1 -0.74431223E+01 0.35930793E+01 -0.20715163E+01
beta 2 0.10235653E+01 0.47781037E+00 0.21422000E+01
beta 3 0.66663096E+00 0.83263621E-01 0.80062692E+01
beta 4 -0.90634840E-02 0.12510968E+00 -0.72444309E-01
beta 5 0.27095736E+00 0.42199715E-01 0.64208339E+01
sigma-squared 0.10726827E-01
log likelihood function = 0.38876904E+02
the estimates after the grid search were :
beta 0 0.15461049E+02
beta 1 -0.74431223E+01
beta 2 0.10235653E+01
beta 3 0.66663096E+00
beta 4 -0.90634840E-02
beta 5 0.27095736E+00
delta 0 0.00000000E+00
delta 1 0.00000000E+00
sigma-squared 0.18263320E-01
gamma 0.78000000E+00
iteration = 0 func evals = 20 llf = 0.39051435E+02
0.15461049E+02-0.74431223E+01 0.10235653E+01 0.66663096E+00-0.90634840E-02
0.27095736E+00 0.00000000E+00 0.00000000E+00 0.18263320E-01 0.78000000E+00
gradient step
iteration = 5 func evals = 44 llf = 0.39296187E+02
0.15450711E+02-0.74619774E+01 0.10274999E+01 0.66455476E+00 0.16459075E-01
0.27383241E+00 0.16914302E-01 0.12754682E-03 0.17310449E-01 0.78249956E+00
iteration = 10 func evals = 64 llf = 0.39854908E+02
0.15394245E+02-0.76015562E+01 0.10484509E+01 0.76372432E+00-0.27420366E-01
0.25272419E+00 0.25075878E+00-0.10133660E-01 0.12639873E-01 0.73653365E+00
iteration = 15 func evals = 115 llf = 0.43863165E+02
0.15453508E+02-0.79235880E+01 0.10895084E+01 0.86213295E+00-0.15019577E-01
0.26803459E+00 0.60159290E+00-0.26159972E-01 0.16625322E-01 0.99999999E+00
pt better than entering pt cannot be found
iteration = 20 func evals = 144 llf = 0.44398151E+02
0.15453569E+02-0.79234963E+01 0.10894966E+01 0.86333818E+00-0.14981925E-01
0.26811710E+00 0.60139954E+00-0.26178181E-01 0.16626429E-01 0.99999999E+00
the final mle estimates are :
coefficient standard-error t-ratio
beta 0 0.15453569E+02 0.87989234E+00 0.17563023E+02
beta 1 -0.79234963E+01 0.46998948E+00 -0.16858880E+02
beta 2 0.10894966E+01 0.62225477E-01 0.17508851E+02
beta 3 0.86333818E+00 0.10785656E+00 0.80045033E+01
beta 4 -0.14981925E-01 0.81431626E-01 -0.18398166E+00
beta 5 0.26811710E+00 0.33548953E-01 0.79918172E+01
delta 0 0.60139954E+00 0.51466841E-01 0.11685185E+02
delta 1 -0.26178181E-01 0.79545087E-02 -0.32909865E+01
sigma-squared 0.16626429E-01 0.43466541E-02 0.38251097E+01
gamma 0.99999999E+00 0.18013124E-01 0.55515078E+02
log likelihood function = 0.44398151E+02
LR test of the one-sided error = 0.11042493E+02
with number of restrictions = 3
[note that this statistic has a mixed chi-square distribution]
number of iterations = 20
(maximum number of iterations set at : 100)
number of cross-sections = 6
number of time periods = 7
total number of observations = 42
thus there are: 0 obsns not in the panel
covariance matrix :
0.77421053E+00 -0.41768999E+00 0.54854216E-01 0.10032320E-01 0.32212292E-02
-0.42633760E-02 0.20866752E-01 -0.12758188E-02 -0.11198313E-03 -0.38582229E-03
-0.41768999E+00 0.22089011E+00 -0.29081236E-01 0.11132057E-01 -0.18475736E-02
-0.73864207E-02 -0.65875786E-04 -0.39245303E-03 0.53964578E-04 0.36931762E-03
0.54854216E-01 -0.29081236E-01 0.38720100E-02 -0.14838271E-02 0.41370776E-03
0.89023478E-03 0.49847387E-04 0.46826352E-04 -0.20713447E-05 -0.61959103E-04
0.10032320E-01 0.11132057E-01 -0.14838271E-02 0.11633037E-01 0.44912333E-02
0.41898577E-02 -0.22898967E-01 0.91674883E-03 0.14452408E-03 0.29470050E-03
0.32212292E-02 -0.18475736E-02 0.41370776E-03 0.44912333E-02 0.66311098E-02
-0.43085570E-02 0.86650472E-02 -0.56039787E-03 -0.10848917E-03 0.49409802E-03
-0.42633760E-02 -0.73864207E-02 0.89023478E-03 0.41898577E-02 -0.43085570E-02
0.11255322E-02 0.10140356E-01 -0.64928912E-03 -0.88956591E-04 -0.30392337E-03
0.20866752E-01 -0.65875786E-04 0.49847387E-04 -0.22898967E-01 0.86650472E-02
0.10140356E-01 0.26488358E-02 0.72720020E-03 -0.13980000E-04 0.17817804E-03
-0.12758188E-02 -0.39245303E-03 0.46826352E-04 0.91674883E-03 -0.56039787E-03
-0.64928912E-03 0.72720020E-03 0.63274209E-04 -0.84624919E-05 -0.12912728E-04
-0.11198313E-03 0.53964578E-04 -0.20713447E-05 0.14452408E-03 -0.10848917E-03
-0.88956591E-04 -0.13980000E-04 -0.84624919E-05 0.18893402E-04 0.11646419E-04
-0.38582229E-03 0.36931762E-03 -0.61959103E-04 0.29470050E-03 0.49409802E-03
-0.30392337E-03 0.17817804E-03 -0.12912728E-04 0.11646419E-04 0.32447264E-03
cost efficiency estimates :
firm year eff.-est.
1 1 0.10144148E+01
2 1 0.10528777E+01
3 1 0.10593435E+01
4 1 0.10824731E+01
5 1 0.10391264E+01
6 1 0.10260569E+01
1 2 0.10366232E+01
2 2 0.10595295E+01
3 2 0.10514079E+01
4 2 0.10681708E+01
5 2 0.10770721E+01
6 2 0.10239484E+01
1 3 0.10100543E+01
2 3 0.10285075E+01
3 3 0.10104943E+01
4 3 0.10262142E+01
5 3 0.10141734E+01
6 3 0.10190417E+01
1 4 0.10058723E+01
2 4 0.10583321E+01
3 4 0.10461784E+01
4 4 0.10674156E+01
5 4 0.10186517E+01
6 4 0.10350751E+01
1 5 0.10031958E+01
2 5 0.10309492E+01
3 5 0.10328287E+01
4 5 0.10244048E+01
5 5 0.10133315E+01
6 5 0.10000300E+01
1 6 0.10011498E+01
2 6 0.10415418E+01
3 6 0.10354799E+01
4 6 0.10270832E+01
5 6 0.10045728E+01
6 6 0.10157476E+01
1 7 0.10014794E+01
2 7 0.10016448E+01
3 7 0.10231879E+01
4 7 0.10239124E+01
5 7 0.10018157E+01
6 7 0.10059292E+01
mean efficiency = 0.10290319E+01
summary of panel of observations:
(1 = observed, 0 = not observed)
t: 1 2 3 4 5 6 7
n
1 1 1 1 1 1 1 1 7
2 1 1 1 1 1 1 1 7
3 1 1 1 1 1 1 1 7
4 1 1 1 1 1 1 1 7
5 1 1 1 1 1 1 1 7
6 1 1 1 1 1 1 1 7
6 6 6 6 6 6 6 42
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