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Families of Complementary Distributions

Jones, M. C. (2018). Families of Complementary Distributions. Statistics & Probability Letters, 141 pp. 74–81.

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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.

Item Type: Journal Item
ISSN: 0167-7152
Keywords: complementary beta distribution; distributions on (0, 1)
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 55183
Depositing User: M. C. Jones
Date Deposited: 23 May 2018 10:28
Last Modified: 15 Feb 2020 05:43
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