Inference of stress-strength reliability for two-parameter of exponentiated Gumbel distribution based on lower record values.

Publisher: Public Library of Science Country of Publication: United States NLM ID: 101285081 Publication Model: eCollection Cited Medium: Internet ISSN: 1932-6203 (Electronic) Linking ISSN: 19326203 NLM ISO Abbreviation: PLoS One Subsets: MEDLINE

Original Publication: San Francisco, CA : Public Library of Science

Engineering/*methods ; Materials Science/*methods; Bayes Theorem ; Computer Simulation ; Likelihood Functions ; Pressure ; Temperature

The two-parameter of exponentiated Gumbel distribution is an important lifetime distribution in survival analysis. This paper investigates the estimation of the parameters of this distribution by using lower records values. The maximum likelihood estimator (MLE) procedure of the parameters is considered, and the Fisher information matrix of the unknown parameters is used to construct asymptotic confidence intervals. Bayes estimator of the parameters and the corresponding credible intervals are obtained by using the Gibbs sampling technique. Two real data set is provided to illustrate the proposed methods.
Competing Interests: The authors have declared that no competing interests exist.

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Date Created: 20210402 Date Completed: 20210914 Latest Revision: 20231102

20240628

PMC8018638

10.1371/journal.pone.0249028

33798228