Jones, M. C.
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A simple new family of distributions is proposed which has support the unit disc in two dimensions. The density functions of the family are unimodal, monotonic or uniantimodal. The bivariate symmetric beta distributions, which include the uniform distribution, are special cases, but many members of the family are skew. The distributions have three parameters, one controlling orientation, one controlling degree of concentration and the third controlling skewness, or more precisely offcentredness. Importantly, these parameters are globally orthogonal. An illustrative example of fitting the model to data is given. Conditional and marginal distributions are considered. The new distributions are compared favourably with an earlier suggestion of the same author.
|Item Type:||Journal Article|
|Copyright Holders:||2004 The Institute ofStatistical Mathematics|
|Keywords:||beta distribution; bivariate distribution; circular law; Möbius transformation; Pearson type II distribution|
|Academic Unit/Department:||Mathematics, Computing and Technology > Mathematics and Statistics|
|Depositing User:||Sarah Frain|
|Date Deposited:||17 Aug 2010 11:59|
|Last Modified:||28 Jan 2014 10:01|
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