Inference for the stress-strength reliability for the two-parameter Burr type X under Type I and Type II censoring

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Abstract

In this paper, asymptotic normal, approximate F-based and (Formula presented.) bootstrap inferences are proposed for the stress-strength reliability model (Formula presented.) with the assumption that both samples from the two-parameter Burr type X distribution under Type I and Type II censoring. A simulation study is carried out. There is no clear winner among these methods, asymptotic normal and approximate F-based inference work well for the heavy censoring case when R is small, while (Formula presented.) bootstrap inference could a good choice when R is large.

Keywords

  • Stress-strength reliability
  • Two-parameter Burr type X
  • Type I censoring
  • Type II censoring

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