General progressive joint Type-II censoring scheme and inference for parameters of two Weibull populations under this scheme

Document Type : Original Paper

Authors

Department of Statistics, Yazd University

Abstract

In this paper, a generalization of the progressive joint Type-II censoring scheme is introduced. Application of this scheme is in the case that the lifetimes of first units of two samples are missing or lost and also because of preventing of long time of the test, some units are removed during the test. After introducing the scheme, for parameters of two Weibull populations, maximum likelihood estimators and confidence interval using procedures such as asymptotic normality and bootstrap methods, under the scheme, are obtained. Finally, by means a simulation study these estimations are evaluated and also all confidence intervals are compared in terms of coverage probabilities.

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References

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History

  • Receive Date: 06 April 2015
  • Revise Date: 02 November 2015
  • Accept Date: 16 December 2015

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