Article ID Journal Published Year Pages File Type
5129723 Statistics & Probability Letters 2017 8 Pages PDF
Abstract

Given a set of n independent uniform random variables on [0,1], this paper deals with the distribution of their sum of squares. Explicit solutions are given for n=2,3 and 4. Graphical presentations are given for n up to 12. The case n=2 is special in the sense that the density function is constant on [0,1], a property noticed first by Adi Ben-Israel.

Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
Authors
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