IJPAM: Volume 56, No. 2 (2009)


Eungchun Cho
Division of Mathematics and Sciences
Kentucky State University
Frankfort, KY, 40601, USA
e-mail: eung.cho@kysu.edu

Abstract.Distribution function of the inner product of random vectors uniformly distributed on the unit sphere in $E^{n+1}$ is derived. The distribution function of the inner product is useful in analyzing the autocorrelation function of time series.

Received: August 28, 2009

AMS Subject Classification: 62H10

Key Words and Phrases: autocorrelation function, gamma function, hypersphere, inner product, moment, random vector, variance

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 56
Issue: 2