Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/650
Title: Comparative Study for Assessing the Pitman’s Closeness of Predictors of Exponential Record Statistics
Authors: Heba A. Al-Muzaini 
Supervisor: Prof. Mohammad Z. Al-Raqab
Keywords: Exponential Record : Comparative
Issue Date: 2017
Publisher:  Kuwait university - college of graduate studies
Abstract: In this thesis, different methods of prediction of future record statistics given the knowledge about some observed record statistics from the two-parameter exponential distribution were reviewed. The predictors discussed here are the best linear unbiased, best linear invariant, maximum likelihood, conditional median and median unbiased predictors. Comprehensive comparison studies for both one-sample and two-sample prediction problems were conducted to assess how much closer does one predictor get to another predictor in terms of Pitman’s measure of closeness. Then all these predictors were compared with respect to the median unbiased predictor in terms of Pitman’s closeness. Numerical computations for Pitman’s closeness of all predictors were performed, presented and discussed to examine how these predictors are compared. The performances of all these predictors were described and summarized in the sense of both optimality criteria: Pitman’s closeness and mean square prediction error.
URI: http://hdl.handle.net/123456789/650
Appears in Programs:0480 Statistics & Operations Research

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