Table 6 Regression result of the estimated Trans-log cost function (Eq. A23)
From: Impact of learning through credit and value creation on the efficiency of Japanese commercial banks
\(lnTC\) | Coef | St.Err | t-value | p-value | [95% Conf | Interval] | Sig |
|---|---|---|---|---|---|---|---|
\(ln\varnothing\) | 2.1343 | 0.1325 | 16.11 | 0.000 | 1.875 | 2.394 | *** |
0.5*\(\left({ln\varnothing }^{2}\right)\) | − 0.0052 | 0.0123 | − 0.42 | 0.674 | − 0.029 | 0.019 |  |
\({\mathrm{ln}w}_{1}\) | − 0.0740 | 0.0453 | − 1.63 | 0.102 | − 0.163 | 0.015 |  |
\({\mathrm{ln}w}_{2}\) | 0.0631 | 0.0344 | 1.83 | 0.067 | − 0.004 | 0.131 | * |
\({\mathrm{ln}E}_{k}\) | 0.0162 | 0.0818 | 0.20 | 0.843 | − 0.144 | 0.176 |  |
t | − 0.0090 | 0.0056 | − 1.61 | 0.107 | − 0.020 | 0.002 |  |
\(0.5\times {{(\mathrm{ln}w}_{1})}^{2}\) | 0.0102 | 0.0052 | 1.96 | 0.050 | 0.000 | 0.020 | * |
\(0.5\times {{\mathrm{ln}w}_{2}}^{2}\) | 0.0169 | 0.0032 | 5.26 | 0.000 | 0.011 | 0.023 | *** |
\(0.5\times {{(E}_{k})}^{2}\) | − 0.0078 | 0.0012 | − 6.61 | 0.000 | − 0.010 | − 0.005 | *** |
\(0.5\times {T}^{2}\) | 0.0006 | 0.0001 | 6.30 | 0.000 | 0.000 | 0.001 | *** |
\(ln\varnothing \times {\mathrm{ln}w}_{1}\) | 0.0051 | 0.0053 | 0.96 | 0.338 | − 0.005 | 0.016 |  |
\(ln\varnothing \times {\mathrm{ln}w}_{2}\) | − 0.0235 | 0.0068 | − 3.47 | 0.001 | − 0.037 | − 0.010 | *** |
\(ln\varnothing \times {\mathrm{lnE}}_{k}\) | 0.0021 | 0.0050 | 0.41 | 0.682 | − 0.008 | 0.012 |  |
\(ln\varnothing \times t\) | 0.0010 | 0.0003 | 3.20 | 0.001 | 0.000 | 0.002 | *** |
\({\mathrm{ln}w}_{1}\times {\mathrm{ln}w}_{2}\) | 0.0059 | 0.0031 | 1.87 | 0.061 | − 0.000 | 0.012 | * |
\({\mathrm{ln}w}_{1}\times {\mathrm{lnE}}_{k}\) | − 0.0094 | 0.0052 | − 1.81 | 0.071 | − 0.020 | 0.001 | * |
\({\mathrm{ln}w}_{2}\times {\mathrm{lnE}}_{k}\) | 0.0159 | 0.0067 | 2.38 | 0.017 | 0.003 | 0.029 | ** |
\({\mathrm{ln}w}_{1}\times t\) | − 0.0003 | 0.0005 | − 0.54 | 0.591 | − 0.001 | 0.001 |  |
\({\mathrm{ln}w}_{2}\times t\) | − 0.0026 | 0.0003 | − 7.68 | 0.000 | − 0.003 | − 0.002 | *** |
\(Cons.\) | − 0.9030 | 0.6352 | − 1.42 | 0.155 | − 2.148 | 0.342 |  |
\(/mu\) | − 2.7213 | 17.0605 | − 0.16 | 0.873 | − 36.159 | 30.717 |  |
\(/Insigma2\) | − 1.6087 | 5.9322 | − 0.27 | 0.786 | − 13.236 | 10.018 |  |
\(/ilgtgamma\) | 5.3698 | 5.9595 | 0.90 | 0.368 | − 6.311 | 17.050 |  |
\(sigma2\) | 0.200144 | 1.1873 |  |  | 1.79E − 06 | 22,432.45 |  |
\(gamma\) | 0.995367 | 0.027485 | Â | Â | 0.001814 | 1 | Â |
\(sigma\_u2\) | 0.199216 | 1.1873 |  |  | − 2.12785 | 2.526281 |  |
\(sigma\_v2\) | 0.000927 | 3.24 E− 05 |  |  | 0.000864 | 0.000991 |  |
\(Mean\,dependent\,var\) | 29.4652 | \(SD\,dependent\,var\) | 2.2258 | Â | |||
\(Number\,of\,obs\) | 1800 | \(Chi-square\) | 609,337.6989 | Â | |||
\(Prob>chi2\) | 0.0000 | \(Akaike\,crit.\,(AIC\)) | −6994.4018 |  | |||