Likelihood-based inference for the shape parameter of a two parameter Weibull distribution

Shaul K. Bar-Lev

doi:10.1023/B:LIDA.0000036394.66861.9e

Likelihood-based inference for the shape parameter of a two parameter Weibull distribution

Shaul K. Bar-Lev

Department of Statistics

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

Abstract

Based on a Type 2 censored sample, we use the likelihood-based approach to draw likelihood inference on the shape parameter γ of a two-parameter Weibull distribution. In particular, we derive the profile, conditional and marginal likelihoods of γ. Numerical results along with some concluding remarks regarding the use of likelihood-based methods for inference are provided.

Original language	English
Pages (from-to)	293-308
Number of pages	16
Journal	Lifetime Data Analysis
Volume	10
Issue number	3
DOIs	https://doi.org/10.1023/B:LIDA.0000036394.66861.9e
State	Published - Sep 2004

Keywords

Type 2 censored sample
Weibull distribution
conditional likelihood
likelihood interval
marginal likelihood
profile likelihood

ASJC Scopus subject areas

Applied Mathematics

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10.1023/B:LIDA.0000036394.66861.9e

Cite this

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abstract = "Based on a Type 2 censored sample, we use the likelihood-based approach to draw likelihood inference on the shape parameter γ of a two-parameter Weibull distribution. In particular, we derive the profile, conditional and marginal likelihoods of γ. Numerical results along with some concluding remarks regarding the use of likelihood-based methods for inference are provided.",

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AB - Based on a Type 2 censored sample, we use the likelihood-based approach to draw likelihood inference on the shape parameter γ of a two-parameter Weibull distribution. In particular, we derive the profile, conditional and marginal likelihoods of γ. Numerical results along with some concluding remarks regarding the use of likelihood-based methods for inference are provided.

KW - Type 2 censored sample

KW - Weibull distribution

KW - conditional likelihood

KW - likelihood interval

KW - marginal likelihood

KW - profile likelihood

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JO - Lifetime Data Analysis

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ER -

Likelihood-based inference for the shape parameter of a two parameter Weibull distribution

Abstract

Keywords

ASJC Scopus subject areas

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