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On reciprocal symmetry

Jones, M. C. (2008). On reciprocal symmetry. Journal of Statistical Planning and Inference, 138(10) pp. 3039–3043.

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On the positive half line, there are two natural, and complementary, analogues of the single notion of symmetry of distributions on the real line. One is the R-symmetry recently proposed and investigated by Mudholkar and Wang [2007. IG-symmetry and R-symmetry: interrelations and applications to the inverse Gaussian theory. J. Statist. Plann. Inference 137, 3655–3671]; the other is the 'log-symmetry' investigated here. Log-symmetry can be thought of either in terms of a random variable having the same distribution as its reciprocal or as ordinary symmetry of the distribution of the logged random variable. Various properties, analogies, comparisons and consequences are investigated.

Item Type: Journal Item
Copyright Holders: 2007 Elsevier B.V.
ISSN: 0378-3758
Keywords: log-location-scale; log-normal; log-symmetry; R-symmetry
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Item ID: 22523
Depositing User: Sarah Frain
Date Deposited: 10 Aug 2010 10:16
Last Modified: 08 Dec 2018 03:18
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