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Estimating ordered quantiles of two exponential populations with a common minimum guarantee time

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  • Adarsha Kumar Jena
  • Manas Ranjan Tripathy

Abstract

The problem of estimating ordered quantiles of two exponential populations is considered, assuming equality of location parameters (minimum guarantee times), using the quadratic loss function. Under order restrictions, we propose new estimators which are the isotonized version of the MLEs, call it, restricted MLE. A sufficient condition for improving equivariant estimators is derived under order restrictions on the quantiles. Consequently, estimators improving upon the old estimators have been derived. A detailed numerical study has been done to evaluate the performance of proposed estimators using the Monte-Carlo simulation method and recommendations have been made for the use of the estimators.

Suggested Citation

  • Adarsha Kumar Jena & Manas Ranjan Tripathy, 2019. "Estimating ordered quantiles of two exponential populations with a common minimum guarantee time," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(14), pages 3570-3585, July.
    • Handle: RePEc:taf:lstaxx:v:48:y:2019:i:14:p:3570-3585
    DOI: 10.1080/03610926.2018.1478100
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