Permutation scores tests for homogeneity of angular and compositional Gaussian distributions

Rao, Radhakrishna ; Sen, Pranab (2002) Permutation scores tests for homogeneity of angular and compositional Gaussian distributions Journal of Nonparametric Statistics, 14 (4). pp. 421-433. ISSN 1048-5252

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/1048525...

Related URL: http://dx.doi.org/10.1080/10485250213110

Abstract

Based on independent samples, tests for homogeneity of distributions for compositional and directional data models are considered. Rao's (modified) scores statistics in conjunction with an alignment procedure are incorporated in the formulation of suitable randomisation tests which avoid the complications of likelihood based parametrics and exploit the Chatterjee-Sen (multivariate) permutation principle for such shape distributions. Our proposed tests amend readily to other directional data models. Finite as well as large sample size properties of the proposed tests are presented.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Group.
Keywords:Alignment Principle; Asymptotic Optimality; Bingham Distribution; Directional Data; Landmark Data; Langevin-von Mises-fisher Distribution; Permutation Principle; Pukkila-; Rao Distribution; Scaled-shape Data
ID Code:71905
Deposited On:28 Nov 2011 04:22
Last Modified:28 Nov 2011 04:22

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