Research Article
Statistical Inference of Reliability Parameter for the Skew-Normal Distribution under Progressive Type-II Censored Samples
Table 2
The MSE (bias) for the estimators of
with unknown
.
| | | MLE | P1 | P2 | P3 |
| | | 0.0193 | 0.0214 | 0.0223 | 0.0209 | (0.0602) | (−0.0631) | (−0.0609) | (−0.0568) | | 0.0125 | 0.0179 | 0.0171 | 0.0152 | (0.0454) | (−0.0608) | (0.0529) | (−0.0527) | | 0.0344 | 0.0476 | 0.0431 | 0.0401 | (0.0211) | (0.0278) | (0.0266) | (0.0239) | | 0.0125 | 0.0161 | 0.0162 | 0.0148 | (0.0149) | (0.0241) | (0.0232) | (0.0214) | | 0.0132 | 0.0175 | 0.0167 | 0.0166 | (0.0135) | (0.0217) | (0.0193) | (−0.0191) | | 0.0124 | 0.0182 | 0.0174 | 0.0163 | (0.0324) | (−0.0467) | (−0.0441) | (−0.0384) |
| | | 0.0218 | 0.0257 | 0.0243 | 0.0237 | (−0.0453) | (0.0606) | (0.0566) | (0.0535) | | 0.0175 | 0.0235 | 0.0219 | 0.0209 | (−0.0346) | (0.0511) | (0.0474) | (0.0460) | | 0.0130 | 0.0187 | 0.0161 | 0.0156 | (−0.0269) | (−0.0342) | (0.0316) | (-0.0308) | | 0.0110 | 0.0180 | 0.0161 | 0.0151 | (0.0171) | (0.0338) | (0.0320) | (−0.0293) | | 0.0090 | 0.0150 | 0.0122 | 0.0113 | (0.0130) | (0.0312) | (0.0259) | (−0.0209) | | 0.0214 | 0.0243 | 0.0245 | 0.0219 | (0.0348) | (−0.0501) | (0.0472) | (0.0439) |
| | | 0.0214 | 0.0264 | 0.0261 | 0.0230 | (−0.0291) | (0.0370) | (−0.0352) | (−0.0326) | | 0.0111 | 0.0182 | 0.0187 | 0.0162 | (0.0225) | (−0.0402) | (0.0380) | (−0.0344) | | 0.0080 | 0.0102 | 0.0104 | 0.0099 | (−0.0174) | (−0.0245) | (0.0248) | (0.0217) | | 0.0085 | 0.0122 | 0.0115 | 0.0118 | (−0.0172) | (0.0246) | (0.0239) | (0.0230) | | 0.0126 | 0.0209 | 0.0177 | 0.0179 | (0.0144) | (0.0252) | (−0.0218) | (0.0215) | | 0.0169 | 0.0251 | 0.0249 | 0.0230 | (−0.0353) | (−0.0510) | (0.0481) | (−0.0459) |
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