Laplace approximations to hypergeometric functions of two matrix arguments

Ronald W. Butler and Andrew T.A. Wood

Journal of Multivariate Analysis, 2005, vol. 94, issue 1, 1-18

Abstract: We present a unified approach to Laplace approximation of hypergeometric functions with two matrix arguments. The general form of the approximation is designed to exploit the Laplace approximations to hypergeometric functions of a single matrix argument presented in Butler and Wood (Ann. Statist. 30 (2002) 1155, Laplace approximations to Bessel functions of matrix argument, J. Comput. Appl. Math. 155 (2003) 359) which have proved to be very accurate in a variety of settings. All but one of the approximations presented here appear to be new. Numerical accuracy is investigated in a number of statistical applications.

Keywords: Asymptotic; approximation; Eigenvalue; distribution; Matrix-argument; hypergeometric; function; Laplace; approximation (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (3)

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