Comparison of two sampling schemes for generating record-breaking data from the proportional hazard rate models |
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Authors: | Mahdi Salehi Jafar Ahmadi Sanku Dey |
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Institution: | 1. Department of Statistics and Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iransalehi2sms@gmail.com;3. Department of Statistics and Ordered and Spatial Data Center of Excellence, Ferdowsi University of Mashhad, Mashhad, Iran;4. Department of Statistics, St. Anthony's College, Shillong, Meghalaya, India |
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Abstract: | ABSTRACTIn this article, we consider a sampling scheme in record-breaking data set-up, as record ranked set sampling. We compare the proposed sampling with the well-known sampling scheme in record values known as inverse sampling scheme when the underlying distribution follows the proportional hazard rate model. Various point estimators are obtained in each sampling schemes and compared with respect to mean squared error and Pitman measure of closeness criteria. It is observed in most of the situations that the new sampling scheme provides more efficient estimators than their counterparts. Finally, one data set has been analyzed for illustrative purposes. |
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Keywords: | Best linear invariant estimator Best linear unbiased estimator Mean squared error Pitman measure of closeness Record values |
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