Analysis of Block Adaptive Type-II Progressive Hybrid Censoring with Weibull Distribution

Kundan Singh, Yogesh Mani Tripathi, Liang Wang and Shuo-Jye Wu ()
Additional contact information
Kundan Singh: Department of Mathematics, Indian Institute of Technology Patna, Bihta 801106, India
Yogesh Mani Tripathi: Department of Mathematics, Indian Institute of Technology Patna, Bihta 801106, India
Liang Wang: School of Mathematics, Yunnan Normal University, Kunming 650500, China
Shuo-Jye Wu: Department of Statistics, Tamkang University, New Taipei City 251301, Taiwan

Mathematics, 2024, vol. 12, issue 24, 1-21

Abstract: The estimation of unknown model parameters and reliability characteristics is considered under a block adaptive progressive hybrid censoring scheme, where data are observed from a Weibull model. This censoring scheme enhances experimental efficiency by conducting experiments across different testing facilities. Point and interval estimates for parameters and reliability assessments are derived using both classical and Bayesian approaches. The existence and uniqueness of maximum likelihood estimates are established. Consequently, reliability performance and differences across different testing facilities are analyzed. In addition, a Metropolis–Hastings sampling algorithm is developed to approximate complex posterior computations. Approximate confidence intervals and highest posterior density credible intervals are obtained for the parametric functions. The performance of all estimators is evaluated through an extensive simulation study, and observations are discussed. A cancer dataset is analyzed to illustrate the findings under the block adaptive censoring scheme.

Keywords: censoring; Weibull distribution; Metropolis–Hastings algorithm; difference in testing facilities (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/24/4026/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/24/4026/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:24:p:4026-:d:1549866

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().