Title :
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
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;
Journal_Title :
Reliability, IEEE Transactions on
DOI :
10.1109/TR.2014.2313707
