Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-17T16:53:25.306Z Has data issue: false hasContentIssue false

On the extensions of some classical distributions*

Published online by Cambridge University Press:  20 January 2009

A. Sri Ranga
Affiliation:
ICMSC—University of Sao PauloSao Carlos, SP, Brazil
J. H. McCabe
Affiliation:
Department of Mathematical SciencesUniversity of St AndrewsSt Andrews, Fife, Scotland
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Some properties of polynomials associated with strong distribution functions are given, including conditions for the polynomials to satisfy a three term recurrence relation. Strong distributions that are extensions to the four classical distributions are given as examples.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

REFERENCES

1.Jones, W. B., Njastad, O. and Thron, W. J., Laurent Polynomials and the strong Hamburger moment problem, J. Math. Anal. Appl. 98 (1984), 528554.Google Scholar
2.Jones, W. B., Thron, W. J. and Waadeland, H., A strong Stieltjes moment problem, Trans. Amer. Math. Soc. 261 (1980), 503528.Google Scholar
3.Sri Ranga, A., J-fractions and the strong moment problems, in Analytic Theory of Continued Fractions (Proceedings (Thron, W. J., Ed), Pitlochry, Scotland, 1985; Lectures Notes in Mathematics, 1199, Springer-Verlag, 1986).Google Scholar
4.Sri Ranga, A., Convergence properties of a class of J-fractions, J. Comput. Appl. Math. 19 (1987), 331342.Google Scholar
5.Van Assche, W., Asymptotic properties of orthogonal polynomials from their recurrence formula, I. J. Approx. Theory 44 (1985), 258276.Google Scholar