TL;DR
This paper explores incomplete Gamma and Beta integrals involving hypergeometric functions and applies these results to analyze the distribution of extremal roots in a statistical comparison of group means.
Contribution
It introduces new integral representations involving hypergeometric functions and applies them to derive distributions of extremal roots in mean comparison tests.
Findings
Derived distribution formulas for extremal roots in group mean comparisons
Connected hypergeometric functions with incomplete Gamma and Beta integrals
Provided analytical tools for statistical distribution analysis
Abstract
This paper discusses the incomplete Gamma and Beta integrals involving the generalised hypergeometric function. The distribution of the largest and the smallest roots of a ratio arising in comparing the mean differences among groups is obtained as an application.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.