Search Results - subject:"hypergeometric functions"

A Determinant Representation for the Distribution of a Generalised Quadratic Form in Complex Normal Vectors

Smith, Peter J.; Gao, Hongsheng - In: Journal of Multivariate Analysis 73 (2000) 1, pp. 41-54

Consider the quadratic form Z=YH(XLXH)-1Â Y where Y is a p-m complex Gaussian matrix, X is an independent p-n complex Gaussian matrix, L is a Hermitian positive definite matrix, and m[less-than-or-equals, slant]p[less-than-or-equals, slant]n. The distribution of Z has been studied for over 30...

Persistent link: https://www.econbiz.de/10005093781

On a Theorem of T. Gneiting on [alpha]-Symmetric Multivariate Characteristic Functions

zu Castell, Wolfgang - In: Journal of Multivariate Analysis 75 (2000) 2, pp. 269-278

of his relation, answering a question of his. To do this we use the calculus of generalized hypergeometric functions. …

Persistent link: https://www.econbiz.de/10005152810

The large-N limits of the chiral Potts model

Au-Yang, Helen; Perk, Jacques H.H. - In: Physica A: Statistical Mechanics and its Applications 268 (1999) 1, pp. 175-206

In this paper we study the large-N limits of the integrable N-state chiral Potts model. Three chiral solutions of the star-triangle equations are derived, with states taken from all integers, or from a finite or infinite real interval. These solutions are expected to be chiral-field lattice...

Persistent link: https://www.econbiz.de/10010873716

An introduction to hypergeometric functions for economists

Abadir, Karim - In: Econometric Reviews 18 (1999) 3, pp. 287-330

Hypergeometric functions are a generalization of exponential functions. They are explicit, computable functions that … them. In this paper, a unified approach to hypergeometric functions is given. As a result, some potentially useful general …

Persistent link: https://www.econbiz.de/10005292323

Replenishment-Depletion Urn in Equilibrium

Shenton, L.R.; Bowman, K.O. - In: Annals of the Institute of Statistical Mathematics 49 (1997) 4, pp. 749-760

Persistent link: https://www.econbiz.de/10005616200

Moment solution to an urn model

Shenton, L.; Bowman, K. - In: Annals of the Institute of Statistical Mathematics 48 (1996) 1, pp. 169-184

Persistent link: https://www.econbiz.de/10005616174

Asymptotic expansions of some matrix argument hypergeometric functions, with applications to macromolecules

Wei, Gaoyuan; Eichinger, B. - In: Annals of the Institute of Statistical Mathematics 45 (1993) 3, pp. 467-475

Persistent link: https://www.econbiz.de/10005184613