Volume 3,  Issue 3, 2002

Article 41

MOMENTS INEQUALITIES OF A RANDOM VARIABLE DEFINED OVER A FINITE INTERVAL

PRANESH KUMAR

DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE, 
UNIVERSITY OF NORTHERN BRITISH COLUMBIA, 
PRINCE GEORGE, 
BC V2N 4Z9, CANADA.
E-Mail: kumarp@unbc.ca

Received 01 October, 2001; Accepted 03 April, 2002.
Communicated by: C.E.M. Pearce

ABSTRACT.   Some estimations and inequalities are given for the higher order central moments of a random variable taking values on a finite interval. An application is considered for estimating the moments of a truncated exponential distribution.
Key words:
Random variable, Finite interval, Central moments, Hölder's inequality, Grüss inequality.

2000 Mathematics Subject Classification:
60E15, 26D15.

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