Articles

SOME POSTERIOR DISTRIBUTIONS FOR THE LAPLACE MEAN

  • Saralees Nadarajah
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  • School of Mathematics, University of Manchester, Manchester M13 9PL, UK

Received date: 2006-08-15

  Revised date: 2008-04-24

  Online published: 2010-01-20

Abstract

Two posterior distributions for the mean of the Laplace distribution are obtained by deriving the distributions of the product XY and the ratio X/Y when X and Y are Student's t and Laplace random variables distributed independently of each other. Tabulations of the associated percentage points are given along with computer programs for generating them.

Cite this article

Saralees Nadarajah . SOME POSTERIOR DISTRIBUTIONS FOR THE LAPLACE MEAN[J]. Acta mathematica scientia, Series B, 2010 , 30(1) : 330 -340 . DOI: 10.1016/S0252-9602(10)60049-5

References


[1] Gradshteyn I S, Ryzhik I M. Table of Integrals, Series, and Products. Sixth ed. San Diego: Academic Press, 2000


[2] Kotz S, Kozubowski T J,  Podgorski K. The Laplace Distribution and Generalizations: A Revisit with Applications to Communications, Economics, Engineering, and Finance.  Boston: Birkhauser, 2001


[3] Kotz S, Nadarajah S. Multivariate $t$ Distributions and Their Applications. New York: Cambridge University Press, 2004


[4] Nadarajah S, Kotz S. Skewed distributions generated by the normal kernel. Statistics and Probability Letters, 2003, 65:  269--277


[5] Prudnikov A P, Brychkov Y A,  Marichev O I. Integrals and Series (Volumes 1, 2, and 3). Amsterdam: Gordon and Breach Science Publishers, 1986

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