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Diversity sensitivity and multimodal Bayesian statistical analysis by relative entropy

Published online by Cambridge University Press:  17 February 2009

Roy B. Leipnik  and
C. E. M. Pearce
Roy B. Leipnik
Affiliation:
Mathematics Department, University of California, Santa Barbara, CA 93106–3080, USA; e-mail: leipnik@math.ucsb.edu.
C. E. M. Pearce
Affiliation:
School of Mathematical Sciences, The University of Adelaide, Adelaide SA 5005, Australia; e-mail: charles.pearce@adelaide.edu.au.
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Abstract

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A list of recognised social diversities is assembled, including those used in social action programmes in the USA. Responses to diversity are discussed and diversity sensitivity defined as the derivative of response with respect to a defining parameter of a diversity distribution. Rewards (or penalties) for diversity are listed also; sensitivities to the responses to the rewards for diversity are called diversity sensitivities of the second kind. The statistics of bimodal and multimodal distributions are discussed, including the parametric estimation of such distributions by mixtures of multivariate normal distributions. An example is considered in detail.

Type
Research Article
Information
The ANZIAM Journal , Volume 47 , Issue 2 , October 2005 , pp. 277 - 287
Copyright
Copyright © Australian Mathematical Society 2005

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