Goodness-of-Fit Tests for the Birnbaum-Saunders Distribution With Censored Reliability Data

Author

Barros, Michelli ; Leiva, Victor ; Ospina, Raydonal ; Tsuyuguchi, Aline

Author_Institution

Dept. de Estatistica, Univ. Fed. de Campina Grande, Campina Grande, Brazil

Volume

63

Issue

2

fYear

2014

fDate

Jun-14

Firstpage

543

Lastpage

554

Abstract

We propose goodness-of-fit tests for Birnbaum-Saunders distributions with type-II right censored data. Classical goodness-of-fit tests based on the empirical distribution, such as Anderson-Darling, Cramér-von Misses, and Kolmogorov-Smirnov, are adapted to censored data, and evaluated by means of a simulation study. The obtained results are applied to real-world censored reliability data.

Keywords

reliability; statistical distributions; Anderson-Darling distribution; Birnbaum-Saunders distribution; Cramér-von Misses distribution; Kolmogorov-Smirnov distribution; censored reliability data; empirical distribution; goodness-of-fit tests; type-II right censored data; Distribution functions; Maximum likelihood estimation; Monte Carlo methods; Optical fibers; Reliability; Standards; Testing; Anderson-Darling; Cramér-von Mises; Kolmogorov-Smirnov tests; Monte Carlo simulation; empirical distribution function; hypothesis testing; order statistics; type-II censoring;

fLanguage

English

Journal_Title

Reliability, IEEE Transactions on

Publisher

ieee

ISSN

0018-9529

Type

jour

DOI

10.1109/TR.2014.2313707

Filename

6784482