Estimation for Kies distribution with generalized progressive hybrid censoring under partially observed competing risks model

Prakash Chandra, Yogesh Mani Tripathi, Liang Wang and Chandrakant Lodhi

Journal of Risk and Reliability, 2023, vol. 237, issue 6, 1048-1072

Abstract: In this paper, estimation of a competing risks model is discussed with partially observed modes of failure. When latent lifetimes of competing risks follow the Kies distribution under a generalized progressive hybrid censoring, estimation of the unknown parameters is explored under non-order and order restrictions via classical and Bayesian approaches, respectively. The uniqueness and existence of maximum likelihood estimators of parameters are established, and subsequently interval estimators are also derived. Bayesian estimates as well as highest posterior density credible intervals are developed for the model parameters. In addition, when extra order information for the competing risks parameters is available, classical and Bayesian estimates are also established. Extensive simulation studies are conducted to investigate the performance of different methods, and a numerical example is also presented for illustrative purposes.

Keywords: Competing risks; generalized progressive hybrid censoring; maximum likelihood estimate; Bayes estimate; order restriction (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:sae:risrel:v:237:y:2023:i:6:p:1048-1072

DOI: 10.1177/1748006X221122570

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