Families of complementary distributions

M.C. Jones

Statistics & Probability Letters, 2018, vol. 141, issue C, 74-81

Abstract: Each continuous distribution on (0,1), with cumulative distribution function F say, has a complementary distribution which is the distribution with cumulative distribution function F−1. Some basic general properties of complementary distributions are given.A particular focus of this article is then the construction of families of distributions, each based on a given F and indexed by a single additional parameter, which are closed under complementarity; properties of these families of distributions are explored, as are those of a particular special case.

Keywords: Complementary beta distribution; Distributions on (0,1) (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1016/j.spl.2018.05.021

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