Extensions of an Euler's Integral Through Statistical Techniques

✍ Scribed by A. M. Mathai; R. K. Saxena

• Publisher: John Wiley and Sons
• Year: 1971
• Tongue: English
• Weight: 317 KB
• Volume: 51
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19710510102

✦ Synopsis

Abstract

Extensions of the Euler's integral ([4], p. 59 (10)) are given in this article. A statistical technique is used to derive the results. The exact density of a product of n stochastically independent Beta variates is obtained through two different methods, namely, through algebraic trans formations and through a moment sequence. From the unique existence of the density function, a number of results are obtained by equating the density obtained by the two methods. The technique developed in this article can be used in other situations as well.