Journal of Mathematics

Research Article

Estimation for Weibull Parameters with Generalized Progressive Hybrid Censored Data

Table 3

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	0.496 3[0.512 5]	0.563 6[0.631 8]	0.414 6[0.335 3]	0.528 9[0.573 6]	0.286 2[0.138 6]	0.296 0[0.170 9]
1	13	0.383 4[0.286 1]	0.307 0[0.285 9]	0.337 3[0.212 6]	0.292 1[0.260 5]	0.267 7[0.123 3]	0.241 0[0.114 4]
2	10	0.487 5[0.495 7]	0.651 7[0.755 4]	0.405 6[0.320 2]	0.602 3[0.581 7]	0.263 9[0.115 8]	0.303 1[0.167 3]
2	13	0.395 7[0.311 4]	0.390 0[0.573 5]	0.345 9[0.227 1]	0.374 2[0.526 8]	0.260 8[0.116 4]	0.262 1[0.134 1]
3	15	0.347 2[0.235 2]	0.297 6[0.232 9]	0.309 9[0.180 6]	0.285 7[0.211 1]	0.249 4[0.108 0]	0.233 0[0.105 6]
3	18	0.295 1[0.162 3]	0.229 5[0.115 1]	0.271 1[0.132 4]	0.221 9[0.106 7]	0.231 9[0.092 5]	0.199 9[0.076 2]
4	30	0.219 5[0.083 5]	0.179 0[0.064 7]	0.208 2[0.073 7]	0.175 7[0.061 9]	0.188 7[0.059 3]	0.163 6[0.050 2]
4	35	0.197 8[0.067 1]	0.151 2[0.040 9]	0.189 1[0.060 4]	0.148 7[0.039 4]	0.175 3[0.051 2]	0.142 6[0.035 4]
5	30	0.202 8[0.069 6]	0.163 9[0.048 8]	0.193 8[0.062 6]	0.160 8[0.046 7]	0.178 9[0.052 6]	0.153 6[0.041 5]
5	35	0.181 4[0.055 5]	0.144 0[0.035 2]	0.175 1[0.050 9]	0.141 5[0.033 9]	0.164 3[0.044 4]	0.136 8[0.031 5]
6	30	0.211 1[0.076 6]	0.168 3[0.054 0]	0.200 9[0.068 3]	0.165 2[0.051 7]	0.183 5[0.056 0]	0.156 2[0.044 1]
6	35	0.190 4[0.062 3]	0.149 1[0.039 0]	0.183 1[0.056 6]	0.146 5[0.037 5]	0.170 7[0.048 6]	0.141 3[0.034 3]

		MLE		NIP Bayes		IP Bayes


1	10	0.388 4[0.295 6]	0.269 8[0.156 3]	0.338 0[0.209 9]	0.259 1[0.140 6]	0.262 6[0.115 8]	0.223 4[0.092 1]
1	13	0.359 0[0.247 4]	0.275 3[0.156 0]	0.318 1[0.186 1]	0.262 2[0.140 6]	0.257 0[0.113 3]	0.229 3[0.095 4]
2	10	0.351 7[0.237 6]	0.320 5[0.273 7]	0.316 0[0.182 5]	0.311 4[0.250 9]	0.251 0[0.106 1]	0.253 2[0.117 7]
2	13	0.357 7[0.242 0]	0.315 4[0.285 2]	0.319 8[0.185 2]	0.305 7[0.260 6]	0.254 4[0.108 7]	0.247 1[0.114 9]
3	15	0.312 5[0.181 1]	0.224 7[0.096 1]	0.284 3[0.143 8]	0.217 1[0.089 4]	0.238 1[0.096 0]	0.195 9[0.068 9]
3	18	0.288 1[0.151 3]	0.224 7[0.097 6]	0.263 9[0.123 5]	0.217 0[0.090 4]	0.227 0[0.087 8]	0.198 3[0.070 6]
4	30	0.209 9[0.076 2]	0.150 4[0.038 0]	0.200 2[0.068 0]	0.147 9[0.036 7]	0.183 6[0.056 3]	0.141 3[0.033 1]
4	35	0.196 2[0.065 4]	0.147 2[0.037 4]	0.187 7[0.058 9]	0.144 6[0.036 0]	0.174 1[0.050 1]	0.139 0[0.032 8]
5	30	0.204 4[0.072 4]	0.162 4[0.047 4]	0.194 7[0.064 8]	0.159 3[0.045 4]	0.179 9[0.054 5]	0.152 2[0.040 6]
5	35	0.179 5[0.054 7]	0.146 8[0.037 5]	0.172 9[0.050 1]	0.144 2[0.036 1]	0.162 4[0.043 8]	0.139 2[0.033 4]
6	30	0.209 7[0.075 8]	0.163 1[0.045 2]	0.200 0[0.067 7]	0.160 1[0.043 3]	0.183 5[0.056 1]	0.152 6[0.038 8]
6	35	0.189 9[0.060 8]	0.146 6[0.037 7]	0.182 5[0.055 3]	0.144 0[0.036 2]	0.170 4[0.047 6]	0.138 9[0.033 2]