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Table 6 Heidelberger and Welch Stationarity and half-width tests for the Bayesian chains used in the diagnosis of MCMC

From: Bayesian zero-inflated regression model with application to under-five child mortality

Count model coefficients
Param Stationarity Test P-Value Half-width test Mean Half-width
C1 C2 C3 C1 C2 C3 C1 C2 C3
\({\beta }_{0}\) Passed 0.305 0.895 0.504 Passed 0.101 0.100 0.100 0.002 0.002 0.001
\({\beta }_{1}\) Passed 0.051 0.746 0.817 Passed − 3.92 − 3.43 − 4.450 0.550 0.341 0.001
\({\beta }_{2}\) Passed 0.546 0.855 0.545 Passed − 0.292 − 0.292 0.292 0.001 0.001 0.008
\({\beta }_{3}\) Passed 0.382 0.955 0.953 Passed − 0.140 − 0.138 − 0.133 0.007 0.006 0.002
\({\beta }_{4}\) Passed 0.095 0.082 0.276 Passed − 0.385 − 0.385 − 0.385 0.002 0.002 0.011
\({\beta }_{5}\) Passed 0.972 0.464 0.562 Passed − 0.810 − 0.804 − 0.794 0.012 0.011 0.002
\({\beta }_{6}\) Passed 0.611 0.726 0.706 Passed − 0.004 − 0.005 − 0.042 0.002 0.002 0.003
\({\beta }_{7}\) Passed 0.128 0.820 0.980 Passed − 0.125 − 0.124 − 0.121 0.003 0.003 0.003
\({\beta }_{8}\) Passed 0.071 0.714 0.770 Passed 3.56 3.07 4.084 0.581 0.365 0.189
\({\beta }_{9}\) Passed 0.856 0.709 0.844 Passed 4.89 4.23 5.248 0.298 0.340 0.197
\({\beta }_{10}\) Passed 0.260 0.991 0.499 Passed 0.443 4.43 0.440 0.003 0.002 0.003
\({\beta }_{11}\) Passed 0.132 0.051 0.400 Passed − 0.185 − 0.184 − 0.118 0.001 0.002 0.002
\({\beta }_{12}\) Passed 0.570 0.308 0.497 Passed − 0.345 − 0.349 − 0.345 0.004 0.004 0.004
\({\beta }_{13}\) Passed 0.105 0.108 0.265 Passed − 0.309 − 0.310 − 0.310 0.002 0.002 0.002
\({\beta }_{14}\) Passed 0.279 0.820 0.178 Passed − 0.185 − 0.185 − 0.186 0.001 0.001 0.001
Zero hurdle model coefficients (binomial with logit link)
\({\gamma }_{1}\) Passed 0.978 0.067 0.462 Passed − 2.26 − 2.27 − 2.26 0.024 0.022 0.021
\({\gamma }_{2}\) Passed 0.274 0.589 0.819 Passed − 0.224 − 2.24 − 0.22 0.002 0.002 0.002
\({\gamma }_{3}\) Passed 0.829 0.066 0.951 Passed 0.132 1.3 0.123 0.007 0.007 0.006
\({\gamma }_{4}\) Passed 0.445 0.072 0.585 Passed − 0.213 − 2.09 − 0.213 0.002 0.002 0.002
\({\gamma }_{5}\) Passed 0.368 0.232 0.257 Passed − 1.15 − 1.15 − 1.15 0.006 0.006 0.005
\({\gamma }_{6}\) Passed 0.397 0.300 0.116 Passed − 0.005 − 4.67 − 0.046 0.002 0.002 0.001
\({\gamma }_{7}\) Passed 0.991 0.221 0.831 Passed − 0.007 − 7.14 − 0.072 0.004 0.004 0.004
\({\gamma }_{8}\) Passed 0.728 0.092 0.407 Passed 1.39 1.40 1.393 0.013 0.013 0.0134
\({\gamma }_{9}\) Passed 0.654 0.143 0.333 Passed 2.78 2.79 2.782 0.014 0.014 0.013
\({\gamma }_{10}\) Passed 0.828 0.176 0.246 Passed 0.872 0.879 0.877 0.004 0.004 0.004
\({\gamma }_{11}\) Passed 0.874 0.100 0.108 Passed − 0.297 − 0.295 − 0.295 0.004 0.003 0.004
\({\gamma }_{12}\) Passed 0.958 0.250 0.114 Passed − 0.316 − 0.318 − 0.316 0.005 0.005 0.004
\({\gamma }_{13}\) Passed 0.514 0.752 0.274 Passed − 0.280 − 0.279 − 0.281 0.002 0.001 0.002
\({\gamma }_{14}\) Passed 0.715 0.896 0.462 Passed − 0.271 − 0.272 − 0.27 0.001 0.001 0.002