Output from the program FRONTIER (Version 4.1c) instruction file = terminal data file = sfam3d39.txt Tech. Eff. Effects Frontier (see B&C 1993) The model is a cost function The dependent variable is logged the ols estimates are : coefficient standard-error t-ratio beta 0 0.22692844E+01 0.41719330E+00 0.54394077E+01 beta 1 0.64908313E+00 0.92722885E-01 0.70002473E+01 beta 2 0.98141586E-01 0.52151482E-01 0.18818561E+01 beta 3 0.11372177E-01 0.31760650E-01 0.35805870E+00 beta 4 0.39821131E-01 0.64850408E-01 0.61404596E+00 beta 5 0.37493499E-01 0.47148086E-01 0.79522845E+00 sigma-squared 0.64267294E-01 log likelihood function = -0.34088208E+01 the estimates after the grid search were : beta 0 0.20716955E+01 beta 1 0.64908313E+00 beta 2 0.98141586E-01 beta 3 0.11372177E-01 beta 4 0.39821131E-01 beta 5 0.37493499E-01 delta 0 0.00000000E+00 delta 1 0.00000000E+00 delta 2 0.00000000E+00 delta 3 0.00000000E+00 delta 4 0.00000000E+00 delta 5 0.00000000E+00 sigma-squared 0.10053457E+00 gamma 0.61000000E+00 iteration = 0 func evals = 20 llf = -0.25817817E+01 0.20716955E+01 0.64908313E+00 0.98141586E-01 0.11372177E-01 0.39821131E-01 0.37493499E-01 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.00000000E+00 0.10053457E+00 0.61000000E+00 gradient step iteration = 5 func evals = 44 llf = -0.12478525E+01 0.20716122E+01 0.64927563E+00 0.98714485E-01 0.11645127E-01 0.40043609E-01 0.37367188E-01-0.12578682E-03 0.10353807E-04-0.14458888E-02-0.83092982E-03 0.84753337E-03 0.22799325E-03 0.10009573E+00 0.61000922E+00 iteration = 10 func evals = 73 llf = 0.20590071E+01 0.17529887E+01 0.62624461E+00 0.14487021E+00 0.98187118E-02 0.62725214E-01 -0.54497619E-02-0.43635033E+00 0.30278464E-01-0.21187324E-02-0.96586263E-03 0.25216561E-02 0.20786033E-02 0.96120509E-01 0.59619173E+00 iteration = 15 func evals = 106 llf = 0.75915993E+01 0.28346991E+00 0.83087589E+00 0.11127642E+00 0.26908752E-01-0.89272245E-01 -0.36891869E-01-0.40047384E+00 0.86458897E+00-0.58215457E-02-0.15351484E-02 0.22350610E-02 0.38785095E-02 0.10414182E+00 0.75223505E+00 iteration = 20 func evals = 195 llf = 0.86959758E+01 0.45320154E+00 0.83504732E+00 0.93329388E-01 0.25963908E-01-0.79540614E-01 -0.24663508E-01-0.59834993E+00 0.47044799E+01-0.12739238E-01-0.27537379E-02 0.23952997E-02 0.47957976E-02 0.13325035E+00 0.73564085E+00 pt better than entering pt cannot be found iteration = 21 func evals = 203 llf = 0.86959758E+01 0.45320154E+00 0.83504732E+00 0.93329388E-01 0.25963908E-01-0.79540614E-01 -0.24663508E-01-0.59834993E+00 0.47044799E+01-0.12739238E-01-0.27537379E-02 0.23952997E-02 0.47957976E-02 0.13325035E+00 0.73564085E+00 the final mle estimates are : coefficient standard-error t-ratio beta 0 0.45320154E+00 0.53242701E+00 0.85119938E+00 beta 1 0.83504732E+00 0.97063517E-01 0.86031018E+01 beta 2 0.93329388E-01 0.53033881E-01 0.17598069E+01 beta 3 0.25963908E-01 0.30120329E-01 0.86200612E+00 beta 4 -0.79540614E-01 0.61456031E-01 -0.12942687E+01 beta 5 -0.24663508E-01 0.49785607E-01 -0.49539434E+00 delta 0 -0.59834993E+00 0.40983885E+00 -0.14599639E+01 delta 1 0.47044799E+01 0.38851685E+01 0.12108818E+01 delta 2 -0.12739238E-01 0.63155092E-02 -0.20171355E+01 delta 3 -0.27537379E-02 0.14540784E-02 -0.18938029E+01 delta 4 0.23952997E-02 0.88691025E-03 0.27007239E+01 delta 5 0.47957976E-02 0.16789151E-02 0.28564861E+01 sigma-squared 0.13325035E+00 0.24435255E-01 0.54532006E+01 gamma 0.73564085E+00 0.10298330E+00 0.71433023E+01 log likelihood function = 0.86959758E+01 LR test of the one-sided error = 0.24209593E+02 with number of restrictions = 7 [note that this statistic has a mixed chi-square distribution] number of iterations = 21 (maximum number of iterations set at : 100) number of cross-sections = 139 number of time periods = 1 total number of observations = 139 thus there are: 0 obsns not in the panel covariance matrix : 0.28347852E+00 -0.43955486E-01 0.12068845E-01 0.20451154E-03 0.23192001E-01 0.54529918E-02 -0.77558181E-01 0.45827615E+00 -0.48598523E-04 -0.41468040E-04 0.71031292E-04 0.99065750E-04 0.33921274E-03 -0.17626270E-01 -0.43955486E-01 0.94213264E-02 -0.41269196E-02 -0.31863638E-03 -0.41188764E-02 0.19310513E-03 0.83045451E-02 0.12008479E-01 -0.10845759E-03 -0.87936679E-06 -0.16315527E-04 -0.18539674E-05 0.22490932E-03 0.13290012E-02 0.12068845E-01 -0.41269196E-02 0.28125925E-02 0.13967410E-03 0.10148557E-02 -0.32174390E-03 0.39925047E-06 -0.51589698E-01 0.86305617E-04 0.39720062E-05 0.91665568E-05 -0.80596997E-05 -0.23656135E-03 0.14625325E-03 0.20451154E-03 -0.31863638E-03 0.13967410E-03 0.90723423E-03 -0.44932079E-03 0.20235833E-03 0.61877124E-03 -0.10558747E-01 0.86046036E-05 -0.65242234E-05 -0.18639203E-05 0.33009824E-05 0.95610207E-04 0.36836789E-03 0.23192001E-01 -0.41188764E-02 0.10148557E-02 -0.44932079E-03 0.37768437E-02 0.34349396E-03 -0.54310993E-02 0.42216428E-01 -0.76863825E-05 0.33926313E-05 0.42558193E-05 0.22884868E-05 -0.85191366E-04 -0.12467791E-02 0.54529918E-02 0.19310513E-03 -0.32174390E-03 0.20235833E-03 0.34349396E-03 0.24786067E-02 0.57384117E-03 0.29234230E-01 -0.48718406E-04 0.29049505E-05 -0.53974341E-05 -0.89182414E-05 0.17371327E-03 -0.63244245E-03 -0.77558181E-01 0.83045451E-02 0.39925047E-06 0.61877124E-03 -0.54310993E-02 0.57384117E-03 0.16796789E+00 -0.93642742E+00 0.84350896E-03 0.89386742E-04 -0.27479785E-03 -0.51767701E-03 -0.26504877E-02 0.12876917E-01 0.45827615E+00 0.12008479E-01 -0.51589698E-01 -0.10558747E-01 0.42216428E-01 0.29234230E-01 -0.93642742E+00 0.15094534E+02 -0.21735579E-01 -0.34797792E-02 0.68787097E-03 0.46278590E-02 0.49593816E-01 -0.16998030E+00 -0.48598523E-04 -0.10845759E-03 0.86305617E-04 0.86046036E-05 -0.76863825E-05 -0.48718406E-04 0.84350896E-03 -0.21735579E-01 0.39885657E-04 0.61583058E-05 0.10412835E-06 -0.69693646E-05 -0.92071137E-04 0.20900761E-03 -0.41468040E-04 -0.87936679E-06 0.39720062E-05 -0.65242234E-05 0.33926313E-05 0.29049505E-05 0.89386742E-04 -0.34797792E-02 0.61583058E-05 0.21143441E-05 0.91616003E-07 -0.13092275E-05 -0.14795211E-04 0.18609764E-04 0.71031292E-04 -0.16315527E-04 0.91665568E-05 -0.18639203E-05 0.42558193E-05 -0.53974341E-05 -0.27479785E-03 0.68787097E-03 0.10412835E-06 0.91616003E-07 0.78660980E-06 0.48735205E-06 -0.40724041E-06 -0.77430084E-05 0.99065750E-04 -0.18539674E-05 -0.80596997E-05 0.33009824E-05 0.22884868E-05 -0.89182414E-05 -0.51767701E-03 0.46278590E-02 -0.69693646E-05 -0.13092275E-05 0.48735205E-06 0.28187559E-05 0.17985427E-04 -0.47137838E-04 0.33921274E-03 0.22490932E-03 -0.23656135E-03 0.95610207E-04 -0.85191366E-04 0.17371327E-03 -0.26504877E-02 0.49593816E-01 -0.92071137E-04 -0.14795211E-04 -0.40724041E-06 0.17985427E-04 0.59708170E-03 0.10584224E-02 -0.17626270E-01 0.13290012E-02 0.14625325E-03 0.36836789E-03 -0.12467791E-02 -0.63244245E-03 0.12876917E-01 -0.16998030E+00 0.20900761E-03 0.18609764E-04 -0.77430084E-05 -0.47137838E-04 0.10584224E-02 0.10605560E-01 cost efficiency estimates : firm year eff.-est. 1 1 0.11732260E+01 2 1 0.10935244E+01 3 1 0.11155179E+01 4 1 0.11526528E+01 5 1 0.10875406E+01 6 1 0.10481582E+01 7 1 0.11124909E+01 8 1 0.16770377E+01 9 1 0.12482156E+01 10 1 0.10632622E+01 11 1 0.11564754E+01 12 1 0.12658160E+01 13 1 0.11778981E+01 14 1 0.13112330E+01 15 1 0.11199101E+01 16 1 0.11296135E+01 17 1 0.10692913E+01 18 1 0.12054955E+01 19 1 0.10695936E+01 20 1 0.14065702E+01 21 1 0.13503380E+01 22 1 0.11783722E+01 23 1 0.21695357E+01 24 1 0.12054403E+01 25 1 0.10690312E+01 26 1 0.10489140E+01 27 1 0.19020576E+01 28 1 0.11381046E+01 29 1 0.10559415E+01 30 1 0.31960810E+01 31 1 0.10909333E+01 32 1 0.11940121E+01 33 1 0.18934650E+01 34 1 0.18662428E+01 35 1 0.13602733E+01 36 1 0.10804442E+01 37 1 0.10546416E+01 38 1 0.11229097E+01 39 1 0.12124317E+01 40 1 0.14541163E+01 41 1 0.12142937E+01 42 1 0.12379660E+01 43 1 0.12126243E+01 44 1 0.12869397E+01 45 1 0.11393409E+01 46 1 0.11098559E+01 47 1 0.14052245E+01 48 1 0.10785487E+01 49 1 0.10637869E+01 50 1 0.11656971E+01 51 1 0.10857776E+01 52 1 0.10982760E+01 53 1 0.10899883E+01 54 1 0.10843980E+01 55 1 0.11900568E+01 56 1 0.11440374E+01 57 1 0.17819402E+01 58 1 0.10663948E+01 59 1 0.10602507E+01 60 1 0.14466971E+01 61 1 0.10783184E+01 62 1 0.10650491E+01 63 1 0.10735593E+01 64 1 0.12024036E+01 65 1 0.11547076E+01 66 1 0.12670945E+01 67 1 0.15003330E+01 68 1 0.11839072E+01 69 1 0.11739710E+01 70 1 0.17813035E+01 71 1 0.13940574E+01 72 1 0.11714078E+01 73 1 0.11064799E+01 74 1 0.11570750E+01 75 1 0.12356022E+01 76 1 0.12367993E+01 77 1 0.11511495E+01 78 1 0.10614648E+01 79 1 0.11180777E+01 80 1 0.11182893E+01 81 1 0.11260721E+01 82 1 0.10572092E+01 83 1 0.10789887E+01 84 1 0.10864916E+01 85 1 0.11245019E+01 86 1 0.11026371E+01 87 1 0.18873956E+01 88 1 0.10729823E+01 89 1 0.10418347E+01 90 1 0.11075169E+01 91 1 0.11091376E+01 92 1 0.12064638E+01 93 1 0.11841859E+01 94 1 0.12236971E+01 95 1 0.11734044E+01 96 1 0.17901713E+01 97 1 0.10920678E+01 98 1 0.10495623E+01 99 1 0.14670888E+01 100 1 0.10819053E+01 101 1 0.11961491E+01 102 1 0.11912299E+01 103 1 0.10370655E+01 104 1 0.10703172E+01 105 1 0.11412526E+01 106 1 0.11076403E+01 107 1 0.11275334E+01 108 1 0.10787513E+01 109 1 0.10604716E+01 110 1 0.10467097E+01 111 1 0.11089057E+01 112 1 0.12726739E+01 113 1 0.12672142E+01 114 1 0.15060003E+01 115 1 0.10594059E+01 116 1 0.10676862E+01 117 1 0.11101055E+01 118 1 0.24139681E+01 119 1 0.11205998E+01 120 1 0.11212302E+01 121 1 0.11541942E+01 122 1 0.10576526E+01 123 1 0.10802701E+01 124 1 0.10828634E+01 125 1 0.10591033E+01 126 1 0.12799666E+01 127 1 0.14518153E+01 128 1 0.10995533E+01 129 1 0.11853759E+01 130 1 0.11637192E+01 131 1 0.10765599E+01 132 1 0.11043177E+01 133 1 0.10846361E+01 134 1 0.10933169E+01 135 1 0.11503879E+01 136 1 0.11113190E+01 137 1 0.11518588E+01 138 1 0.13004781E+01 139 1 0.11393415E+01 mean efficiency = 0.12267260E+01