On StressStrength Reliability Estimation for the Generalized Inverted Exponential Distribution Under Unified Hybrid Censoring
- Title
- On StressStrength Reliability Estimation for the Generalized Inverted Exponential Distribution Under Unified Hybrid Censoring
- Creator
- Garg, Renu; Saini, Shubham; Kumari, Anita
- Description
- Stressstrength reliability (SSR) analysis plays a fundamental role in reliability engineering, particularly when lifetime data are subject to censoring due to cost or time limitations. In this article, we study the estimation of the reliability parameter (Formula presented.) when the strength (Formula presented.) and stress (Formula presented.) follow the two-parameter generalized inverted exponential distribution (GIED) under a unified hybrid censoring (UHC) scheme, which ensures both a prespecified number of failures and a bounded test duration. Classical inference is developed via maximum likelihood estimation using the EM algorithm, and the corresponding asymptotic confidence intervals are obtained. Bayesian estimation is carried out using MCMC methods under a generalized entropy loss function, along with HPD credible intervals. The UMVUE of (Formula presented.) is also derived for comparison. A Monte Carlo simulation study is conducted to evaluate the performance of the proposed estimators under different censoring scenarios. The results indicate that Bayesian methods, particularly under informative priors, often provide improved estimation accuracy in heavily censored cases. Two real data sets are analyzed to demonstrate the practical applicability of the proposedmethodology. 2026 John Wiley & Sons Ltd.
- Source
- Quality and Reliability Engineering International;
- Date
- 01-01-2026
- Publisher
- John Wiley and Sons Ltd
- Subject
- Bayesian estimation; EM algorithm; generalized inverted exponential distribution; MCMC; stressstrength reliability; unified hybrid censoring
- Coverage
- Garg R., Department of Statistics, Ramanujan College, Delhi, India; Saini S., Department of Statistics, Chaudhary Charan Singh University, Meerut, India; Kumari A., Department of Data Science, Christ University, Pune, India
- Rights
- Restricted Access; Hardcopy may be available in the library
- Relation
- ISSN: 7488017; CODEN: QREIE
- Format
- online
- Language
- English
- Type
- Article
Collection
Citation
Garg, Renu; Saini, Shubham; Kumari, Anita, “On StressStrength Reliability Estimation for the Generalized Inverted Exponential Distribution Under Unified Hybrid Censoring,” CHRIST (Deemed To Be University) Institutional Repository, accessed June 18, 2026, https://archives.christuniversity.in/items/show/21809.