On parameter inference for step-stress accelerated life test with geometric distribution

Ronghua Wang, Xiaoling Xu, Rong Pan, Naijun Sha

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

In this article, we present the parameter inference in step-stress accelerated life tests under the tampered failure rate model with geometric distribution. We deal with Type-II censoring scheme involved in experimental data, and provide the maximum likelihood estimate and confidence interval of the parameters of interest. With the help of the Monte-Carlo simulation technique, a comparison of precision of the confidence limits is demonstrated for our method, the Bootstrap method, and the large-sample based procedure. The application of two industrial real datasets shows the proposed method efficiency and feasibility.

Original languageEnglish (US)
Pages (from-to)1796-1812
Number of pages17
JournalCommunications in Statistics - Theory and Methods
Volume41
Issue number10
DOIs
StatePublished - Jul 2 2012

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Keywords

  • Bootstrap
  • Geometric distribution
  • Interval estimation
  • Maximum likelihood estimate
  • Monte-Carlo simulation
  • Step-stress accelerated life test
  • Tampered failure rate model
  • Type-II censoring

ASJC Scopus subject areas

  • Statistics and Probability

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