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Statistical Analysis in Constant-stress Accelerated Life Tests for Generalized Exponential Distribution with Progressive Type-I Hybrid Censoring

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  • Guangyu Zheng
  • Yimin Shi

Abstract

Based on progressive Type-I hybrid censored data, statistical analysis in constant-stress accelerated life test (CS-ALT) for generalized exponential (GE) distribution is discussed. The maximum likelihood estimates (MLEs) of the parameters and the reliability function are obtained with EM algorithm, as well as the observed Fisher information matrix, the asymptotic variance-covariance matrix of the MLEs, and the asymptotic unbiased estimate (AUE) of the scale parameter. Confidence intervals (CIs) for the parameters are derived using asymptotic normality of MLEs and percentile bootstrap (Boot-p) method. Finally, the point estimates and interval estimates of the parameters are compared separately through the Monte-Carlo method.

Suggested Citation

  • Guangyu Zheng & Yimin Shi, 2015. "Statistical Analysis in Constant-stress Accelerated Life Tests for Generalized Exponential Distribution with Progressive Type-I Hybrid Censoring," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(23), pages 4962-4982, December.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:23:p:4962-4982
    DOI: 10.1080/03610926.2013.841920
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