ESTIMATION OF THE RELIABILITY FUNCTION FOR A FAMILY OF LIFETIME DISTRIBUTIONS UNDER TYPE I AND TYPE II CENSORINGS

  • Ajit Chaturvedi Department of Statistics, University of Delhi, Delhi-110007, India
  • Kuldeep Chauhan Department of Statistics, Meerut College, Meerut-250005, India
  • Md. Wasi Alam Department of Statistics, University of Delhi, Delhi-110007, India
Keywords: Reliability function, stress-strength set-up, type I and II censorings, uniformly minimum variance unbiased estimators, maximum likelihood estimators, bootstrap methods

Abstract

A family of lifetime distributions is proposed. The problems of estimating the reliability function R(t)=P(X>t) and P=P(X>Y) are considered under type I and II censorings. Uniformly minimum variance unbiased and maximum likelihood estimators are derived. A comparative study of the performance of the two methods of estimation is done. Simulation study is performed.

 

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Published
2009-08-31
Section
Articles