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A Collection of Moments of the Wishart Distribution

Thomas Holgersson () and Jolanta Pielaszkiewicz ()
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Thomas Holgersson: Linnaeus University, Department of Economics and Statistics
Jolanta Pielaszkiewicz: Linköping University, Department of Computer Science

Chapter Chapter 9 in Recent Developments in Multivariate and Random Matrix Analysis, 2020, pp 147-162 from Springer

Abstract: Abstract Moments of functions of Wishart distributed matrices appear frequently in multivariate analysis. Although a considerable number of such moments have long been available in the literature, they appear in rather dispersed sources and may sometimes be difficult to locate. This paper presents a collection of moments of the Wishart and inverse Wishart distribution, involving functions such as traces, determinants, Kronecker, and Hadamard products, etc. Moments of factors resulting from decompositions of Wishart matrices are also included.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-56773-6_9

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DOI: 10.1007/978-3-030-56773-6_9

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