Sum of squares of uniform random variables

Ishay Weissman

Statistics & Probability Letters, 2017, vol. 129, issue C, 147-154

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.

Keywords: Convolution; Geometric approach (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spl.2017.05.018

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