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Title: Confidence Intervals for Population Quantiles Based on Ordered Data from Samples of Random Size
Authors: Jazaa Saleh Al-Mutairi 
Supervisor: Prof. Mohammad Z. Al-Raqab
Keywords: Confidence Intervals;Ordered Data;Population Quantiles
Issue Date: 2016
Publisher: Β Kuwait university - college of graduate studies
Abstract: In this thesis, confidence intervals for population quantiles were constructed based on order statistics from a sample of random size, 𝑁, regardless of the parent distribution. Inner and outer confidence intervals for the population quantile interval were investigated on the same basis. Confidence intervals for population quantile differences were also examined. Distribution-free expressions for computing the coverage probabilities of these intervals were theoretically derived and numerically evaluated using different probability distributions of 𝑁, such as binomial, negative binomial, and Poisson distributions, with different selections of their respective parameters. A real life example representing the duration of remission of 20 leukemia patients was analyzed to illustrate the applicability of the results developed in this thesis.
Appears in Programs:0480 Statistics & Operations Research

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Arabic Cover Page Submitted to CGS.pdf62,54 kBAdobe PDFView/Open    Request a copy
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