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Title: Randomly Weighted Average with Random Sample Size
Authors: Ahmad F. Al-Khayat 
Supervisor: Prof. Ahmad A. Soltani
Keywords: Sample : Random
Issue Date: 2017
Publisher:  Kuwait university - college of graduate studies
Abstract: The purpose of this thesis is to introduce the distribution of randomly weighted average (RWA) assuming that the sample size is random. Moreover, the weights of the RWA are random variables from ordered statistics of standard uniform distribution. Functional transformation technique (called Stieltjes transform) and its inversion are applied to acquire the distribution of the RWA. The distribution of the RWA is a function of an independent random variable. Finally, some examples illustrate the usefulness and applicability of innovative application of some known distributions
Appears in Programs:0480 Statistics & Operations Research

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