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Tian, Yajie; Gui, Wenhao

Inference of weighted exponential distribution under progressively type-II censored competing risks model with electrodes data. (English) Zbl 07497669

J. Stat. Comput. Simulation 91, No. 16, 3426-3452 (2021).
Summary: The aim of the paper is to estimate the unknown parameters of weighted based on the competing risks model under progressively Type-II censoring. It is supposed that the latent causes of failures have weighted exponential distributions with different parameters. The of four unknown parameters are derived and the uniqueness and existence of them are theoretically proved. Moreover, approximate intervals are proposed and constructed with the delta method and matrix. are also applied to calculate the . Furthermore, Bayes estimates and the corresponding credible intervals under three various loss functions are computed by using the Monte Carlo Markov Chain method. A simulation study is conducted to assess the statistical performance of all the estimators. Ultimately, real data analysis is provided to illustrate all the statistical inferential procedures developed in the paper.
© 2021 Informa UK Limited, trading as Taylor & Francis Group

Cited in 5 Documents

MSC:

62-XX Statistics

Keywords:

competing risks model; weighted exponential distribution; progressively type-II censoring; maximum likelihood estimation; bootstrap; Bayesian estimation; Monte Carlo Markov chain method

Software:

SPLIDA
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Full Text: DOI

References:

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