Skewness of Maximum Likelihood Estimators in the Weibull Censored Data

被引：5

作者：

Magalhaes, Tiago M. ^{[1
]}

Gallardo, Diego, I ^{[2
]}

Gomez, Hector W. ^{[3
]}

机构：

[1] Univ Fed Juiz de Fora, Inst Exact Sci, Dept Stat, BR-36000000 Juiz De Fora, Brazil

[2] Univ Atacama, Fac Ingn, Dept Matemat, Copiapo 1530000, Chile

[3] Univ Antofagasta, Fac Ciencias Basicas, Dept Matemat, Antofagasta 1240000, Chile

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 11期

关键词：

maximum likelihood estimates; type I and II censoring; skewness coefficient; Weibull censored data; TESTS;

D O I：

10.3390/sym11111351

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we obtain a matrix formula of order n(-1/2), where n is the sample size, for the skewness coefficient of the distribution of the maximum likelihood estimators in the Weibull censored data. The present result is a nice approach to verify if the assumption of the normality of the regression parameter distribution is satisfied. Also, the expression derived is simple, as one only has to define a few matrices. We conduct an extensive Monte Carlo study to illustrate the behavior of the skewness coefficient and we apply it in two real datasets.

引用

页数：10

共 50 条

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