Research Article
Estimation for Weibull Parameters with Generalized Progressive Hybrid Censored Data
Table 1
ABs and MSEs (within brackets) of the MLEs and Bayes estimates under generalized progressively hybrid censored data with
.
| | MLE | NIP Bayes | IP Bayes | | | | | | | | |
| 1 | 10 | 0.319 2[0.212 3] | 0.205 1[0.086 1] | 0.285 8[0.163 5] | 0.197 1[0.079 5] | 0.237 5[0.104 4] | 0.131 3[0.028 4] | 13 | 0.249 7[0.123 9] | 0.164 6[0.050 7] | 0.230 6[0.102 7] | 0.158 1[0.047 2] | 0.201 6[0.074 5] | 0.119 1[0.023 9] | 2 | 10 | 0.300 9[0.188 0] | 0.185 1[0.066 9] | 0.270 7[0.145 6] | 0.180 4[0.063 1] | 0.227 4[0.095 5] | 0.121 6[0.024 5] | 13 | 0.260 3[0.135 2] | 0.170 3[0.060 8] | 0.239 9[0.111 5] | 0.165 8[0.057 9] | 0.209 8[0.080 7] | 0.121 0[0.024 9] | 3 | 15 | 0.232 6[0.102 3] | 0.148 4[0.042 8] | 0.216 7[0.087 1] | 0.144 1[0.040 6] | 0.194 7[0.067 9] | 0.112 5[0.021 8] | 18 | 0.199 2[0.074 5] | 0.134 9[0.032 0] | 0.188 3[0.065 4] | 0.130 9[0.030 3] | 0.172 4[0.053 1] | 0.107 1[0.019 3] | 4 | 30 | 0.145 3[0.037 0] | 0.097 4[0.016 2] | 0.140 7[0.034 3] | 0.096 0[0.015 8] | 0.135 1[0.031 3] | 0.085 8[0.012 2] | 35 | 0.132 5[0.029 8] | 0.091 4[0.013 9] | 0.128 9[0.027 9] | 0.090 0[0.013 5] | 0.123 9[0.025 6] | 0.081 5[0.010 9] | 5 | 30 | 0.137 1[0.032 0] | 0.099 6[0.016 5] | 0.133 3[0.030 8] | 0.097 8[0.016 0] | 0.127 4[0.027 2] | 0.086 9[0.012 4] | 35 | 0.120 5[0.024 7] | 0.096 1[0.015 0] | 0.117 8[0.023 4] | 0.094 5[0.014 5] | 0.112 4[0.021 2] | 0.084 5[0.011 5] | 6 | 30 | 0.141 1[0.034 4] | 0.098 0[0.016 3] | 0.136 9[0.032 1] | 0.096 4[0.015 8] | 0.131 2[0.029 2] | 0.086 1[0.012 4] | 35 | 0.124 7[0.026 2] | 0.092 5[0.013 8] | 0.121 5[0.024 7] | 0.091 1[0.013 4] | 0.116 5[0.022 5] | 0.082 1[0.010 8] |
| | MLE | NIP Bayes | IP Bayes | | | | | | | | |
| 1 | 10 | 0.278 0[0.156 8] | 0.159 1[0.044 4] | 0.252 5[0.123 7] | 0.153 5[0.041 6] | 0.219 9[0.088 0] | 0.115 3[0.022 3] | 13 | 0.246 5[0.119 3] | 0.161 3[0.045 8] | 0.227 4[0.099 1] | 0.154 7[0.042 6] | 0.198 6[0.072 1] | 0.117 9[0.023 2] | 2 | 10 | 0.242 0[0.111 8] | 0.154 1[0.047 4] | 0.225 1[0.093 5] | 0.151 9[0.045 7] | 0.202 9[0.072 8] | 0.116 6[0.023 4] | 13 | 0.238 2[0.109 5] | 0.146 3[0.046 8] | 0.221 5[0.092 3] | 0.143 0[0.044 8] | 0.198 8[0.071 0] | 0.110 2[0.022 0] | 3 | 15 | 0.221 3[0.094 0] | 0.134 9[0.029 9] | 0.207 1[0.080 5] | 0.131 1[0.028 4] | 0.188 8[0.064 5] | 0.106 5[0.018 2] | 18 | 0.196 5[0.071 9] | 0.131 6[0.029 3] | 0.185 9[0.063 2] | 0.127 7[0.027 7] | 0.170 0[0.051 5] | 0.105 1[0.018 2] | 4 | 30 | 0.144 9[0.036 5] | 0.092 5[0.013 8] | 0.140 2[0.033 8] | 0.091 2[0.013 4] | 0.134 8[0.031 0] | 0.082 0[0.010 8] | 35 | 0.132 6[0.030 6] | 0.090 8[0.013 5] | 0.129 0[0.028 7] | 0.089 4[0.013 2] | 0.124 1[0.026 4] | 0.081 0[0.010 7] | 5 | 30 | 0.136 9[0.032 0] | 0.098 5[0.016 1] | 0.133 3[0.030 1] | 0.096 8[0.015 6] | 0.127 2[0.027 2] | 0.086 0[0.012 1] | 35 | 0.119 6[0.024 1] | 0.095 9[0.014 7] | 0.116 8[0.022 8] | 0.094 3[0.014 3] | 0.111 3[0.020 5] | 0.084 3[0.011 3] | 6 | 30 | 0.143 1[0.035 3] | 0.097 2[0.015 7] | 0.138 7[0.032 8] | 0.095 6[0.015 2] | 0.132 8[0.029 8] | 0.085 5[0.012 0] | 35 | 0.126 1[0.027 3] | 0.093 3[0.014 2] | 0.122 8[0.025 7] | 0.091 8[0.013 8] | 0.117 7[0.023 3] | 0.082 7[0.011 1] |
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