ESTIMATION AFTER SELECTION IN THE PROPORTIONAL HAZARD AND PROPORTIONAL REVERSED HAZARD RATE MODELS

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NEMATOLLAHI NADER

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2017 | Volume:10 | Issue:2 Page(s): 345-373

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Information Journal Paper

Title

ESTIMATION AFTER SELECTION IN THE PROPORTIONAL HAZARD AND PROPORTIONAL REVERSED HAZARD RATE MODELS

Author(s)

NEMATOLLAHI NADER | Issue Writer Certificate

Keywords

ADMISSIBILITYQ2

ENTROPY LOSS FUNCTIONQ2

MINIMAXITYQ2

PROPORTIONAL HAZARD RATE MODELQ2

PROPORTIONAL REVERSED HAZARD RATE MODELQ2

UNIFORMLY MINIMUM RISK UNBIASED ESTIMATORQ2

SELECTED POPULATIONQ2

Abstract

In some applied problems we need to choose a population from the given populations and estimate the parameter of the SELECTED POPULATION. Suppose k random samples are chosen from k populations with PROPORTIONAL HAZARD RATE MODEL or PROPORTIONAL REVERSED HAZARD RATE MODEL. According to a specified selection rule, it is desired to estimate the parameter of the best (worst) SELECTED POPULATION. In this paper, under the ENTROPY LOSS FUNCTION we obtain the uniformly minimum risk unbiased (UMRU) estimator of the parameters of the SELECTED POPULATION, and derived sufficient conditions for MINIMAXITY of a given estimator.Then we find the class of admissible and inadmissible linear estimators of the parameters of the SELECTED POPULATION and determine the class of dominators of a given estimator. We show that the UMRU estimator is inadmissible and compare the obtained estimators by plotting their risk functions.

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APA: Copy

NEMATOLLAHI, NADER. (2017). ESTIMATION AFTER SELECTION IN THE PROPORTIONAL HAZARD AND PROPORTIONAL REVERSED HAZARD RATE MODELS. JOURNAL OF STATISTICAL SCIENCES, 10(2 ), 345-373. SID. https://sid.ir/paper/124152/en

Vancouver: Copy

NEMATOLLAHI NADER. ESTIMATION AFTER SELECTION IN THE PROPORTIONAL HAZARD AND PROPORTIONAL REVERSED HAZARD RATE MODELS. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2017;10(2 ):345-373. Available from: https://sid.ir/paper/124152/en

IEEE: Copy

NADER NEMATOLLAHI, “ESTIMATION AFTER SELECTION IN THE PROPORTIONAL HAZARD AND PROPORTIONAL REVERSED HAZARD RATE MODELS,” JOURNAL OF STATISTICAL SCIENCES, vol. 10, no. 2 , pp. 345–373, 2017, [Online]. Available: https://sid.ir/paper/124152/en

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