Goodness-of-fit tests for the birnbaum-saunders distribution with censored reliability data

Michelli Barros; Víctor Leiva; Raydonal Ospina; Aline Tsuyuguchi

doi:10.1109/TR.2014.2313707

Goodness-of-fit tests for the birnbaum-saunders distribution with censored reliability data

Michelli Barros, Víctor Leiva, Raydonal Ospina, Aline Tsuyuguchi

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

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.

Original language	English
Article number	6784482
Pages (from-to)	543-554
Number of pages	12
Journal	IEEE Transactions on Reliability
Volume	63
Issue number	2
DOIs	https://doi.org/10.1109/TR.2014.2313707
State	Published - Jun 2014
Externally published	Yes

Keywords

Anderson-Darling
Cramér-von Mises
Kolmogorov-Smirnov tests
Monte Carlo simulation
empirical distribution function
hypothesis testing
order statistics
type-II censoring

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10.1109/TR.2014.2313707

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title = "Goodness-of-fit tests for the birnbaum-saunders distribution with censored reliability data",

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, Cram{\'e}r-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.",

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author = "Michelli Barros and V{\'i}ctor Leiva and Raydonal Ospina and Aline Tsuyuguchi",

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AU - Barros, Michelli

AU - Leiva, Víctor

AU - Ospina, Raydonal

AU - Tsuyuguchi, Aline

PY - 2014/6

Y1 - 2014/6

N2 - 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.

AB - 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.

KW - Anderson-Darling

KW - Cramér-von Mises

KW - Kolmogorov-Smirnov tests

KW - Monte Carlo simulation

KW - empirical distribution function

KW - hypothesis testing

KW - order statistics

KW - type-II censoring

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JF - IEEE Transactions on Reliability

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M1 - 6784482

ER -

Goodness-of-fit tests for the birnbaum-saunders distribution with censored reliability data

Abstract

Keywords

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