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Bayesian inference of three-parameter bathtub-shaped lifetime distribution

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  • Myoungjin Jung
  • Younshik Chung

Abstract

We investigate a Bayesian inference in the three-parameter bathtub-shaped lifetime distribution which is obtained by adding a power parameter to the two-parameter bathtub-shaped lifetime distribution suggested by Chen (2000). The Bayes estimators under the balanced squared error loss function are derived for three parameters. Then, we have used Lindley's and Tierney–Kadane approximations (see Lindley 1980; Tierney and Kadane 1986) for computing these Bayes estimators. In particular, we propose the explicit form of Lindley's approximation for the model with three parameters. We also give applications with a simulated data set and two real data sets to show the use of discussed computing methods. Finally, concluding remarks are mentioned.

Suggested Citation

  • Myoungjin Jung & Younshik Chung, 2018. "Bayesian inference of three-parameter bathtub-shaped lifetime distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(17), pages 4229-4241, September.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:17:p:4229-4241
    DOI: 10.1080/03610926.2017.1371757
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    Cited by:

    1. Wenjie Zhang & Wenhao Gui, 2022. "Statistical Inference and Optimal Design of Accelerated Life Testing for the Chen Distribution under Progressive Type-II Censoring," Mathematics, MDPI, vol. 10(9), pages 1-21, May.

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