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Comparison of two sampling schemes for generating record-breaking data from the proportional hazard rate models
Authors:Mahdi Salehi  Jafar Ahmadi  Sanku Dey
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
Abstract:ABSTRACT

In 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.
Keywords:Best linear invariant estimator  Best linear unbiased estimator  Mean squared error  Pitman measure of closeness  Record values
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