On the asymptotic and approximate distributions of the product of an inverse Wishart matrix and a Gaussian vector

Igor Kotsiuba, Ivan Franko, Stepan Mazur

Forskningsoutput: Working paper/PreprintWorking paper

195 Nedladdningar (Pure)

Sammanfattning

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.
Originalspråkengelska
UtgivareDepartment of Statistics, Lund university
Antal sidor14
StatusPublished - 2015

Publikationsserier

NamnWorking Papers in Statistics
Nr.11

Ämnesklassifikation (UKÄ)

  • Sannolikhetsteori och statistik

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