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Estimation in a multicomponent stress-strength model for progressive censored lognormal distribution

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  • Kundan Singh
  • Amulya Kumar Mahto
  • Yogesh Mani Tripathi
  • Liang Wang

Abstract

We consider estimation of multicomponent stress-strength reliability under classical as well as Bayesian approaches when stress-strength components follow lognormal distributions and data are observed under progressive censoring. Various estimates are obtained by sequentially considering one parameter common and unknown. Different expressions for the reliability are evaluated under these cases. For both the cases, we obtain different estimates of considered parametric function using likelihood, Lindley and repeated sampling methods. Asymptotic and credible intervals are also obtained. Extensive simulations are conducted to examine the behavior of all estimates under various censoring schemes. We finally present analysis of a real life example from application purposes.

Suggested Citation

  • Kundan Singh & Amulya Kumar Mahto & Yogesh Mani Tripathi & Liang Wang, 2024. "Estimation in a multicomponent stress-strength model for progressive censored lognormal distribution," Journal of Risk and Reliability, , vol. 238(3), pages 622-642, June.
    • Handle: RePEc:sae:risrel:v:238:y:2024:i:3:p:622-642
    DOI: 10.1177/1748006X231156841
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    References listed on IDEAS

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    1. Robert Serfling, 2002. "Efficient and Robust Fitting of Lognormal Distributions," North American Actuarial Journal, Taylor & Francis Journals, vol. 6(4), pages 95-109.
    2. Tanmay Kayal & Yogesh Mani Tripathi & Sanku Dey & Shuo-Jye Wu, 2020. "On estimating the reliability in a multicomponent stress-strength model based on Chen distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(10), pages 2429-2447, May.
    3. Akram Kohansal, 2019. "On estimation of reliability in a multicomponent stress-strength model for a Kumaraswamy distribution based on progressively censored sample," Statistical Papers, Springer, vol. 60(6), pages 2185-2224, December.
    4. Punzo, Antonio & Bagnato, Luca & Maruotti, Antonello, 2018. "Compound unimodal distributions for insurance losses," Insurance: Mathematics and Economics, Elsevier, vol. 81(C), pages 95-107.
    5. Fatih Kızılaslan & Mustafa Nadar, 2018. "Estimation of reliability in a multicomponent stress–strength model based on a bivariate Kumaraswamy distribution," Statistical Papers, Springer, vol. 59(1), pages 307-340, March.
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