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On the asymptotic and approximate distributions of the product of an inverse Wishart matrix and a Gaussian random vector
van Franko National University of Lviv, Lviv, Ukraine.
Department of Statistics, Lund University, Lund, Sweden. (Statistics)
2015 (English)In: Theory of Probability and Mathematical Statistics, ISSN 0868-6904, Vol. 93, 95-104 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we study the distribution of the product of an inverse Wishart random matrix and a Gaussian random vector. We derive its asymptotic distribution as well as its approximate density function formula which is based on the Gaussian integral and the third order Taylor expansion. Furthermore, we compare obtained asymptotic and approximate density functions with the exact density which is obtained by Bodnar and Okhrin (2011). A good performance of obtained results is documented in the numerical study. 

Place, publisher, year, edition, pages
Kyiv, Ukraine: Taras Shevchenko National University of Kyiv , 2015. Vol. 93, 95-104 p.
Keyword [en]
Wishart distribution, multivariate normal distribution, asymptotic distribution, integral approximation.
National Category
Probability Theory and Statistics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:oru:diva-54842OAI: oai:DiVA.org:oru-54842DiVA: diva2:1066859
Available from: 2017-01-19 Created: 2017-01-19 Last updated: 2017-03-03Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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