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 .

MLEP1P2P3

0.01930.02140.02230.0209
(0.0602)(−0.0631)(−0.0609)(−0.0568)
0.01250.01790.01710.0152
(0.0454)(−0.0608)(0.0529)(−0.0527)
0.03440.04760.04310.0401
(0.0211)(0.0278)(0.0266)(0.0239)
0.01250.01610.01620.0148
(0.0149)(0.0241)(0.0232)(0.0214)
0.01320.01750.01670.0166
(0.0135)(0.0217)(0.0193)(−0.0191)
0.01240.01820.01740.0163
(0.0324)(−0.0467)(−0.0441)(−0.0384)

0.02180.02570.02430.0237
(−0.0453)(0.0606)(0.0566)(0.0535)
0.01750.02350.02190.0209
(−0.0346)(0.0511)(0.0474)(0.0460)
0.01300.01870.01610.0156
(−0.0269)(−0.0342)(0.0316)(-0.0308)
0.01100.01800.01610.0151
(0.0171)(0.0338)(0.0320)(−0.0293)
0.00900.01500.01220.0113
(0.0130)(0.0312)(0.0259)(−0.0209)
0.02140.02430.02450.0219
(0.0348)(−0.0501)(0.0472)(0.0439)

0.02140.02640.02610.0230
(−0.0291)(0.0370)(−0.0352)(−0.0326)
0.01110.01820.01870.0162
(0.0225)(−0.0402)(0.0380)(−0.0344)
0.00800.01020.01040.0099
(−0.0174)(−0.0245)(0.0248)(0.0217)
0.00850.01220.01150.0118
(−0.0172)(0.0246)(0.0239)(0.0230)
0.01260.02090.01770.0179
(0.0144)(0.0252)(−0.0218)(0.0215)
0.01690.02510.02490.0230
(−0.0353)(−0.0510)(0.0481)(−0.0459)