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  • Problem with sfpanel for cost function estimation

    Hi All,
    I have been running stochastic frontier model for the estimation of cost functon using sfpanel command.My motivation is to calculate the cost elasticity of output (∂lnTCit)/(∂lnQit)and the the conditional mean estimator of uit from estimating the following model.I am facing the following issue

    1.How can I estimte the cost elasticity of output for each i and t and also conditional mean estimation of uit for i and t.Can anyone help me with code I can use for those variable estimation ?
    2.After running the model ,there is no value for sigmau and sigamv (results are attached below)

    Unfortunately ,after running the model I was getting no value in the place of uit and Can anyone help me in this regard.
    I am attaching both results and data sample

    Code:
    sfpanel lnTC lnQ lW1 lW2 lW3 lne Year,cost
    
    
    initial: Log likelihood = -3174.5302
    Iteration 0: Log likelihood = -3174.5302 (not concave)
    Iteration 1: Log likelihood = -1074.9929 (not concave)
    Iteration 2: Log likelihood = -902.00697 (not concave)
    Iteration 3: Log likelihood = -829.88396 (not concave)
    Iteration 4: Log likelihood = -816.61709 (not concave)
    Iteration 5: Log likelihood = -814.00632 (not concave)
    Iteration 6: Log likelihood = -811.92452 (not concave)
    Iteration 7: Log likelihood = -811.71687 (not concave)
    Iteration 8: Log likelihood = -811.63383 (not concave)
    Iteration 9: Log likelihood = -811.60062 (not concave)
    Iteration 10: Log likelihood = -811.59398 (not concave)
    Iteration 11: Log likelihood = -811.59265 (not concave)
    Iteration 12: Log likelihood = -811.59212 (not concave)
    Iteration 13: Log likelihood = -811.59206 (not concave)
    Iteration 14: Log likelihood = -811.59206 (not concave)
    Iteration 15: Log likelihood = -811.59205 (not concave)
    Iteration 16: Log likelihood = -811.59205 (not concave)
    Iteration 17: Log likelihood = -811.59205 (not concave)
    Iteration 18: Log likelihood = -811.59205 (not concave)
    Iteration 19: Log likelihood = -811.59205 (not concave)
    Iteration 20: Log likelihood = -811.59205 (not concave)
    Iteration 21: Log likelihood = -811.59205 (not concave)
    Iteration 22: Log likelihood = -811.59205 (not concave)
    Iteration 23: Log likelihood = -811.59205 (not concave)
    Iteration 24: Log likelihood = -811.59205 (not concave)
    Iteration 25: Log likelihood = -811.59205 (not concave)
    Iteration 26: Log likelihood = -811.59205 (not concave)
    Iteration 27: Log likelihood = -811.59205 (not concave)
    Iteration 28: Log likelihood = -811.59205 (not concave)
    Iteration 29: Log likelihood = -811.59205 (not concave)
    Iteration 30: Log likelihood = -811.59205 (not concave)
    Iteration 31: Log likelihood = -811.59205 (not concave)
    Iteration 32: Log likelihood = -811.59205 (not concave)
    Iteration 33: Log likelihood = -811.59205 (not concave)
    Iteration 34: Log likelihood = -811.59205 (not concave)
    Iteration 35: Log likelihood = -811.59205 (not concave)
    Iteration 36: Log likelihood = -811.59205 (not concave)
    Iteration 37: Log likelihood = -811.59205 (not concave)
    Iteration 38: Log likelihood = -811.59205 (not concave)
    Iteration 39: Log likelihood = -811.59205 (not concave)
    Iteration 40: Log likelihood = -811.59205 (not concave)
    Iteration 41: Log likelihood = -811.59205 (not concave)
    Iteration 42: Log likelihood = -811.59205 (not concave)
    Iteration 43: Log likelihood = -811.59205 (not concave)
    Iteration 44: Log likelihood = -811.59205 (not concave)
    Iteration 45: Log likelihood = -811.59205 (not concave)
    Iteration 46: Log likelihood = -811.59205 (not concave)
    Iteration 47: Log likelihood = -811.59205 (not concave)
    Iteration 48: Log likelihood = -811.59205 (not concave)
    Iteration 49: Log likelihood = -811.59205 (not concave)
    Iteration 50: Log likelihood = -811.59205 (not concave)
    Iteration 51: Log likelihood = -811.59205 (not concave)
    Iteration 52: Log likelihood = -811.59205 (not concave)
    Iteration 53: Log likelihood = -811.59205 (not concave)
    Iteration 54: Log likelihood = -811.59205 (not concave)
    Iteration 55: Log likelihood = -811.59205 (not concave)
    Iteration 56: Log likelihood = -811.59205 (not concave)
    Iteration 57: Log likelihood = -811.59205 (not concave)
    Iteration 58: Log likelihood = -811.59205 (not concave)
    Iteration 59: Log likelihood = -811.59205 (not concave)
    Iteration 60: Log likelihood = -811.59205 (not concave)
    Iteration 61: Log likelihood = -811.59205 (not concave)
    Iteration 62: Log likelihood = -811.59205 (not concave)
    Iteration 63: Log likelihood = -811.59205 (not concave)
    Iteration 64: Log likelihood = -811.59205 (not concave)
    Iteration 65: Log likelihood = -811.59205 (not concave)
    Iteration 66: Log likelihood = -811.59205 (not concave)
    Iteration 67: Log likelihood = -811.59205 (not concave)
    Iteration 68: Log likelihood = -811.59205 (not concave)
    Iteration 69: Log likelihood = -811.59205 (not concave)
    Iteration 70: Log likelihood = -811.59205 (not concave)
    Iteration 71: Log likelihood = -811.59205 (not concave)
    Iteration 72: Log likelihood = -811.59205 (not concave)
    Iteration 73: Log likelihood = -811.59205 (not concave)
    Iteration 74: Log likelihood = -811.59205 (not concave)
    Iteration 75: Log likelihood = -811.59205 (not concave)
    Iteration 76: Log likelihood = -811.59205 (not concave)
    Iteration 77: Log likelihood = -811.59205 (not concave)
    Iteration 78: Log likelihood = -811.59205 (not concave)
    Iteration 79: Log likelihood = -811.59205 (not concave)
    Iteration 80: Log likelihood = -811.59205 (not concave)
    Iteration 81: Log likelihood = -811.59205 (not concave)
    Iteration 82: Log likelihood = -811.59205 (not concave)
    Iteration 83: Log likelihood = -811.59205 (not concave)
    Iteration 84: Log likelihood = -811.59205 (not concave)
    Iteration 85: Log likelihood = -811.59205 (not concave)
    Iteration 86: Log likelihood = -811.59205 (not concave)
    Iteration 87: Log likelihood = -811.59205 (not concave)
    Iteration 88: Log likelihood = -811.59205 (not concave)
    Iteration 89: Log likelihood = -811.59205 (not concave)
    Iteration 90: Log likelihood = -811.59205 (not concave)
    Iteration 91: Log likelihood = -811.59205 (not concave)
    Iteration 92: Log likelihood = -811.59205 (not concave)
    Iteration 93: Log likelihood = -811.59205 (not concave)
    Iteration 94: Log likelihood = -811.59205 (not concave)
    Iteration 95: Log likelihood = -811.59205 (not concave)
    Iteration 96: Log likelihood = -811.59205 (not concave)
    Iteration 97: Log likelihood = -811.59205 (not concave)
    Iteration 98: Log likelihood = -811.59205 (not concave)
    Iteration 99: Log likelihood = -811.59205 (not concave)
    Iteration 100: Log likelihood = -811.59205 (not concave)
    
    Time-varying decay model (truncated-normal) Number of obs = 1170
    Group variable: banks Number of groups = 108
    Time variable: Year Obs per group: min = 4
    avg = 10.8
    max = 15
    
    Prob > chi2 = 0.0000
    Log likelihood = -811.5921 Wald chi2(6) = 12158.00
    
    ------------------------------------------------------------------------------
    lnTC | Coef. Std. Err. z P>|z| [95% Conf. Interval]
    -------------+----------------------------------------------------------------
    Frontier |
    lnQ | .9421145 .014996 62.82 0.000 .9127228 .9715062
    lW1 | .1471734 .0334736 4.40 0.000 .0815663 .2127805
    lW2 | .3634593 .0419621 8.66 0.000 .2812151 .4457035
    lW3 | -.0532101 .0243248 -2.19 0.029 -.1008859 -.0055343
    lne | .0290785 .0460248 0.63 0.528 -.0611286 .1192855
    Year | .0138036 .0061371 2.25 0.024 .0017752 .0258321
    _cons | -28.33852 12.316 -2.30 0.021 -52.47743 -4.199609
    -------------+----------------------------------------------------------------
    /lnsigma2 | -.6937709 .2604786 -2.66 0.008 -1.2043 -.1832423
    /ilgtgamma | -6.498446 . . . . .
    /mu | -1.028373 .270522 -3.80 0.000 -1.558586 -.4981594
    /eta | .4919009 .0271935 18.09 0.000 .4386027 .5451992
    -------------+----------------------------------------------------------------
    sigma2 | .4996882 .1301581 .299902 .8325664
    gamma | .0015035 . . .
    sigma_u2 | .0007513 . . .
    sigma_v2 | .498937 . . .
    ------------------------------------------------------------------------------
    Sample of data
    [CODE]
    * Example generated by -dataex-. To install: ssc install dataex
    clear
    input long banks int Year float(lnTC lnQ w1 w2 w3 lne)
    Code:
     2 2005  .8799171  3.979031 .014761693  .008797058  5.757736  -.4245088
     2 2006  .9806542  4.149746  .01786599  .009476278 10.502755 -.38704115
     2 2007 1.5470518  4.206071 .021492336  .011139514  26.31124  -.4373363
     2 2008 1.2311307 4.2211227  .01402339  .009199563  8.548129 -.51548547
     2 2009 1.5821284  4.256523  .02316161  .012156772  6.488263  -.5057602
     2 2010 1.9651524 4.2021313 .012839814  .011781475 2.3706899  -.4954846
     2 2011 2.1695108  4.949145 .004894645 .0088237375 4.1498384   -.688329
     2 2012 2.2975523  4.851576  .01233861  .010805344  5.249218  -.5347911
     2 2013  2.441216  5.342364 .011040826  .006396872  9.942871  -.9713093
     2 2014  2.907158  5.353617 .013454747  .006281531 22.652565   -.924746
     2 2015  2.682288  5.433244 .012420725  .005577133  6.476387    -.88614
     3 2005  5.221761  8.009612    .082947  .004238982  6.235589  -3.310225
     3 2006  4.745547  6.578355  .22036354  .004700458  1.978753 -2.2075565
     3 2007  3.935075   6.71028 .068113595  .006666761  2.813509 -2.3228178
     3 2008  3.976958  6.603424  .06443856  .010083202 4.0313163 -1.6851938
     3 2009 3.5016036  6.734154   .0393619  .008248983  2.019925 -1.6707683
     3 2010 3.5011904  6.825503  .03840889  .010253849 2.0973349 -1.6408447
     3 2011  3.662497  6.872595  .04315811   .00881281  2.075602 -1.9201342
     3 2012 4.0577774  7.037947  .06460982  .007888065 1.9066423 -1.3721367
     3 2013 4.5423017  7.283989  .09854412 .0084823435  3.533019  -1.609886
     3 2014  4.843033  8.022623  .06214907  .005258583  3.904661 -1.9178758
     3 2015  5.089585  8.307534  .06644992   .00715505 3.9000454 -2.0226731
     3 2016   5.17642  8.386787 .066513106  .007964911  4.277571 -1.9885027
     3 2017  5.266014  8.671316  .05405581  .006516449 4.3000126   -2.20137
     3 2018  5.132167   8.58504  .05410484  .007018617  4.273615 -2.1429875
     3 2019  5.268837  8.396245  .06914737  .010424374  5.901501 -1.9622693
     4 2016  9.720836  12.92433  .06472372  .008885134 1.1286563   -2.83629
     4 2017  9.707348  12.91843  .06129366  .009643763 1.2734282  -2.808212
     4 2018  9.655842 12.979367  .05442834  .008539699  1.272834  -3.203189
     4 2019  9.667606 12.985637  .05297097   .01017746 1.2559856  -3.304147
     5 2005  7.969597 11.300983  .04468762   .01507448 1.4619298 -2.9650185
     5 2006  8.078858 11.468264  .04515073   .01231821 1.3945487  -2.721048
     5 2007  8.333355  11.69174  .05261883  .009173552  .9724557 -2.7156355
     5 2008  8.640554 11.882674  .06281914  .008317895 1.0803719  -2.765411
     5 2009  8.795658 12.063498  .06126811  .008949884 1.2610372 -2.8145945
     5 2010  8.900624 12.283447  .05392183  .008310483 1.4467212  -2.891573
     5 2011  9.141047  12.50157  .05301671  .010295865 2.0364432 -2.8782396
     5 2012  9.476698 12.691647  .06491904  .010028098 2.2470727 -2.8571236
     5 2013   9.65036 12.811855  .07032096   .00971721 2.3636065  -2.890508
     5 2014  9.734595  12.88108  .07040014  .010184621  2.639274  -2.927438
     5 2015  9.755708 12.894925  .06999255   .01015957  2.642773  -2.888289
     6 2005  6.093871   8.47327  .06676163   .03543046   4.23156 -2.3055892
     6 2006  6.121363  8.569324  .06834578  .032514125 4.3679714 -2.2155104
     6 2007  6.226747  8.734922 .062571764  .033836726  6.008393 -2.2111201
     6 2009  6.121963  7.121478  .24609217   .08382229  4.023909  -.9280076
     6 2010  5.868061  7.417564  .05649794   .05885047 4.7353344 -1.1141788
     6 2011  6.118839  7.515621  .07339491    .0586453  9.132326 -1.0242906
     6 2012  6.333581  7.747884  .16090965   .05039702   12.6364 -1.2272077
     6 2013  6.532751   7.92873  .17390823   .04257334 13.195005  -1.206111
     6 2014  6.639848  8.115021   .1832227   .03781401 14.068992 -1.4605165
     6 2015  6.793583  8.287936  .12991251   .03351944 20.727097 -1.3348184
     6 2016   6.88379 8.5070095  .13702862  .026807984 28.095703 -1.5261662
     6 2017  7.063436  8.797992   .0769965   .01978502  32.73974 -1.6577874
     6 2018  7.208963  9.056313    .078116  .017209167  43.75833  -1.663232
     6 2019  7.413788  9.191818  .06841774   .01860899  47.79899  -1.553868
     7 2016  9.631623  12.79095 .070645675  .008675264 2.1377819  -2.900741
     7 2017  9.677074  12.87898  .06393622  .009398394 2.2551675  -2.976933
     7 2018  9.614842 12.952536  .05594152  .007671399  2.270955  -3.108408
     7 2019  9.677474 12.998153  .05560884  .008990746 2.3940604 -2.9411316
     8 2005  7.621871 10.927984  .04402493   .01648483  4.428826 -2.8801174
     8 2006  7.768147 11.119393  .04439987  .012119408 4.4510283  -2.642855
     8 2007  7.948376 11.334323  .04578051  .011543773  4.851605  -2.712198
     8 2008  8.237237 11.498554  .05805413   .00900103  4.142326  -2.857438
     8 2009   8.48714  11.69891   .0631034  .009114472  3.293391  -2.932481
     8 2010   8.61752  11.94913  .05378073  .009121764  3.794488 -3.0197225
     8 2011   8.82102  12.14311  .05501858  .010139685  5.369647  -2.819802
     8 2012  9.146725  12.29547  .07160434   .00923304  5.963413  -2.812519
     8 2013  9.322765 12.467672  .07393377  .008796936  6.712796 -2.8525295
     8 2014  9.462647  12.59421  .07444726  .008263692  5.323346  -2.952415
     8 2015   9.58672 12.697028  .07632024    .0091697 2.1680138  -2.912303
     9 2012  5.018106  8.162133  .02336386  .016193483  2.769131  -1.674976
     9 2013  5.656479  8.679472 .064830005   .01297787 2.6741216 -1.4666092
     9 2014  5.603228  8.660218  .06378886  .012500245  3.836367 -1.5762324
     9 2015  5.735234  8.758955  .07692653  .012568546  5.441102  -1.560348
     9 2016  5.850904   8.78004  .08608764  .013827927  1.953638 -1.4963902
     9 2017   5.74869  8.760537  .05797212  .012172978  2.014933 -1.5790217
     9 2018   5.70592  8.738535  .05780155  .013723835 2.2929409 -1.3602573
     9 2019  5.806941  9.174879  .04858696  .009534065  2.558597  -1.715479
    10 2005  7.481195 11.040727  .03761922  .004685679 1.1214097  -2.746389
    10 2006  7.872686 11.338037  .04513579   .00483001  1.433912  -2.846889
    10 2007  8.344723  11.71635  .05091922  .005205577  1.804232 -3.0695524
    10 2008  8.791013  12.10621  .05044109  .006116648  2.335078   -2.52522
    10 2009  9.211089  12.41008  .06091015  .006753646  2.664038  -2.671495
    10 2010  9.244089  12.61691  .04694632  .006951767 3.0347364  -2.421176
    10 2011  9.500862 12.908272  .04540225  .006649408 2.1025615  -2.547504
    10 2012  9.902687 13.087888  .06350127  .007282792  2.658803 -2.5275545
    10 2013  10.10359 13.241598  .06934033  .006979615  2.935182 -2.3308225
    10 2014 10.188302 13.344802  .06652388  .006787695  3.278043 -2.3053024
    10 2015  10.32411   13.4885  .06591717  .006743345 3.6605446 -2.3359706
    10 2016 10.441614 13.627089  .06747837  .006253936  2.866967 -2.3178391
    10 2017 10.562275 13.728035  .06382818  .006470612  3.256006 -2.3782704
    10 2018  10.62505 13.861582  .05987924  .006238639  3.522525  -2.388439
    10 2019  10.80184 14.012917  .06067336   .00592677  3.922427  -2.486007
    11 2005   5.38701 8.8262825  .06402343  .007897282 3.9624274 -1.3405435
    11 2006  5.559452  8.873333  .06979999  .009277774  6.818845 -1.3272774
    11 2007   5.73283  8.925368  .06220008  .012318526  7.359299   -1.26806
    Could any please guide me how can I solve this issues.Any help is highly appreciated
    Last edited by Fadi Ansar; 10 Feb 2022, 03:52.
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