Exact inference for a simple step-stress model with type-I hybrid censored data from the exponential distribution

DOI10.1016/J.JSPI.2007.03.011zbMath1119.62096OpenAlexW4232947516MaRDI QIDQ2382848

Qihao Xie, Narayanaswamy Balakrishnan

Publication date: 4 October 2007

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2007.03.011

zbMATH Keywords

tablesorder statisticsbootstrap methodtail probabilityexponential distributionmaximum likelihood estimationcoverage probabilityaccelerated testingcumulative exposure modeltype-I hybrid censoringtype-II hybrid censoringconditional moment generating functionstep-stress models

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Point estimation (62F10) Censored data models (62N01) Exact distribution theory in statistics (62E15) Bootstrap, jackknife and other resampling methods (62F40) Estimation in survival analysis and censored data (62N02) Reliability and life testing (62N05)

Related Items (26)

Hybrid censoring: models, inferential results and applications ⋮ Stochastic comparisons of generalized mixtures and coherent systems ⋮ Parametric inference for progressive type-I hybrid censored data on a simple step-stress accelerated life test model ⋮ A meta-analysis approach for step-stress experiments ⋮ Inference for a Simple Step-Stress Model with Type-I Censoring and Lognormally Distributed Lifetimes ⋮ Maximum likelihood estimation of the parameters of a multiple step-stress model from the Birnbaum-Saunders distribution under time-constraint: A comparative study ⋮ Reliability analysis for multi-level stress testing with Weibull regression model under the general progressively type-II censored data ⋮ k‐step stage life testing ⋮ Inference on constant stress accelerated life tests for log-location-scale lifetime distributions with type-I hybrid censoring ⋮ Exact likelihood-ratio tests for a simple step-stress cumulative exposure model with censored exponential data ⋮ Optimal step-stress test under type-I censoring for multivariate exponential distribution ⋮ On classical and Bayesian order restricted inference for multiple exponential step stress model ⋮ Inference for a simple step-stress model with competing risks for failure from the exponential distribution under time constraint ⋮ Planning step-stress test plans under type-I hybrid censoring for the log-location-scale distribution ⋮ Exact inference for a simple step-stress model with competing risks for failure from exponential distribution under type-II censoring ⋮ Likelihood ratio ordering of order statistics, mixtures and systems ⋮ Optimal bivariate step-stress accelerated life test for Type-I hybrid censored data ⋮ Exact Likelihood Inference for Two Exponential Populations Under Joint Progressive Type-II Censoring ⋮ Stochastic monotonicity of the MLEs of parameters in exponential simple step-stress models under type-I and type-II censoring ⋮ On exact inferential results for a simple step-stress model under a time constraint ⋮ Exact Inference for a Simple Step-stress Model with Generalized Type-I Hybrid Censored Data from the Exponential Distribution ⋮ A synthesis of exact inferential results for exponential step-stress models and associated optimal accelerated life-tests ⋮ Mean residual life functions of finite mixtures, order statistics and coherent systems ⋮ Exact inference of a simple step-stress model with hybrid type-II stress changing time ⋮ Analysis of simple step-stress model in presence of competing risks ⋮ Exponential progressive step-stress life-testing with link function based on Box-Cox transfor\-mation

Uses Software

• SPLIDA

Cites Work

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