Statistical inferences for the reliability functions in the proportional hazard rate models based on progressive type-II right censoring

• Published in: Journal of statistical computation and simulation 2019-08, Vol.89 (12), p.2187-2217
• Main Authors: Chaturvedi, Ajit, Pathak, Anupam, Kumar, Narendra
• Format: Article
• Language: English
• Subjects: asymptotic confidence interval; Asymptotic methods; Bayesian analysis; Computer simulation; Confidence intervals; Economic models; Estimators; Monte Carlo simulation; Parameters; point estimation; Progressive type-II right censoring; proportional hazard rate model; Reliability; Statistical analysis; Statistical methods; Statistical models; Test procedures; testing procedures
• ISSN: 0094-9655; 1563-5163
• DOI: 10.1080/00949655.2019.1614182

The aim of this paper is to develop the estimation procedures for the reliability functions R(t) and P, when the available data have the form of progressively type-II right censored sample. It is supposed that X-sample and X*-sample are independent and generated from the two different proportional hazard rate models, respectively, with different probability parameters which covers many lifetime distributions as specific cases [see Basirat M, Baratpour S, Jafar A. Statistical inferences for the proportional hazard models based on progressive type-II censored samples. J Stat Comput Simul. 2014. Available from: http://www.tandfonline.com/loi/gscs20 ]. Point estimation (classical as well as Bayesian) procedures and asymptotic confidence intervals are developed for parameter α, and . Testing procedures are also developed for the hypotheses related to various parametric functions. The performances of these estimators are studied by using Monte Carlo simulation technique. Finally, the use of the proposed estimators is shown in an illustrative example.