SUM AND DIFFERENCE OF INDEPENDENT
BETA TYPE 3 VARIABLES
Daya K. Nagar1, Lata Joshi2
1Instituto de Matemáticas
Universidad de Antioquia
Calle 67, No. 53-108, Medellın, COLOMBIA
2Department of Statistics
University of Rajasthan
Jaipur, 302004, INDIA
Abstract. In this article, we derive density functions of the sum and the difference of two independent random variables each distributed as beta type 3. We express these densities in terms of Appell's first hypergeometric function F1.
AMS Subject classification: 62E15, 62H99
Keywords and phrases: Appell's first hypergeometric function, beta distribution, difference, sum, Gauss hypergeometric function, transformation


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DOI: 10.12732/ijam.v27i1.3

Volume: 27
Issue: 1
Year: 2014