Jones, M. C.
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|DOI (Digital Object Identifier) Link:||http://doi.org/10.1016/j.jspi.2007.11.006|
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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 Article|
|Copyright Holders:||2007 Elsevier B.V.|
|Keywords:||log-location-scale; log-normal; log-symmetry; R-symmetry|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
|Depositing User:||Sarah Frain|
|Date Deposited:||10 Aug 2010 10:16|
|Last Modified:||24 Feb 2016 23:00|
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