Li [i] evaluates characteristic functions of two spherical matrix distributions in terms of zonal polynomials. The present paper evaluates these characteristic functions explicitly in terms of known multiple series without using zonal polynomials.
A note on the characteristic function of the t-distribution
β Scribed by I. Dreier; S. Kotz
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 71 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0167-7152
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β¦ Synopsis
Utilizing the theory of positive deΓΏnite densities we express the density of a t-random variable as the characteristic function of a convolution of two Gamma-variables. This allows us to obtain a simple interpretation and an expression for the characteristic function of the t-variable.
π SIMILAR VOLUMES
The one-electronmomentum distribution function (&ako~ for an electron gas is investigated by a diagrammatic analysis of perturbation theory. It is shown that (&ak,,) has the following exact asymptotic form for large k (k + pF; pF, the Fermi momentum): (a~oako> = $ (x\r,/x)' x (&k8) &l(O) f ... , wh