IJPAM: Volume 30, No. 1 (2006)

ON PRODUCT MOMENTS OF ORDER STATISTICS
FROM THE WEIBULL DISTRIBUTION

A.M. John$^{1}$, A.J. Watkins$^{2}$
$^{1,2}$School of Business and Economics
University of Wales Swansea
Singleton Park, Swansea, SA2 8PP, U.K.
$^1$e-mail: a.john1@neath-porttalbot.gov.uk
$^2$e-mail: a.watkins@swansea.ac.uk


Abstract.We give a result for general product moments of order statistics in the Weibull distribution, which includes those already available as special cases. We illustrate our result for specific values of sample size and shape parameter, provide displays of these theoretical expectations which illustrate the considerable structure to these moments, and note the scope for numerical approximations to exact results.

Received: June 9, 2006

AMS Subject Classification: 33C05, 33F05, 62E15

Key Words and Phrases: hypergeometric functions, order statistics, product moments, Weibull distribution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 30
Issue: 1