Estimation and Testing Procedures for the Reliability Characteristics of Chen Distribution Based on Type II Censoring and the Sampling Scheme of Bartholomew

  • Aditi chaturvedi Babasaheb Bhimrao Ambedkar University, Lucknow
  • Surinder Kumar Babasaheb Bhimrao Ambedkar University, Lucknow
Keywords: Chen Distribution; Hazard Rate; Interval Estimation; MLE; Monte Carlo Simulation; Point Estimation; UMVUE


In this paper, we consider Chen distribution and derive UMVUEs and MLEs of the parameter λ , hazard rate h(t) and the two measures of reliability, namely R(t) = P(X > t), where X denotes the lifetime of an item and P = P(X > Y ), which represents the reliability of an item or system of random strength X subject to random stress Y , under type II censoring scheme and the sampling scheme of Bartholomew . We also develop interval estimates of the reliability measures. Testing procedures for the hypotheses related to different parametric functions have also been developed. A comparative study of different methods of point estimation and average conddence length has been done through simulation studies. The analysis of a real data set is presented for illustration purpose.


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How to Cite
chaturvedi, A., & Kumar, S. (2020). Estimation and Testing Procedures for the Reliability Characteristics of Chen Distribution Based on Type II Censoring and the Sampling Scheme of Bartholomew. Statistics, Optimization & Information Computing, 9(1), 99-122.
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