Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 290124, 10 pages
doi:10.1155/2010/290124
Research Article

Moment Estimation Inequalities Based on gλ Random Variable on Sugeno Measure Space

Jingfeng Tian,1 Zhiming Zhang,2 and Dazeng Tian3

1College of Science and Technology, North China Electric Power University, Baoding, Hebei Province 071051, China
2College of Mathematics and Computer Sciences, Hebei University, Baoding, Hebei Province 071002, China
3College of Physics Science and Technology, Hebei University, Baoding, Hebei Province 071002, China

Received 8 October 2009; Accepted 12 December 2009

Academic Editor: Andrei Volodin

Copyright © 2010 Jingfeng Tian et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The definitions and properties of moment of gλ random variable are provided on Sugeno measure space. Then some important moment estimation inequalities based on gλ random variable are presented and proven.