Moment Estimation Inequalities Based on <inline-formula> <graphic file="1029-242X-2010-290124-i1.gif"/></inline-formula> Random Variable on Sugeno Measure Space

Abstract

<p/> <p>The definitions and properties of moment of <inline-formula> <graphic file="1029-242X-2010-290124-i2.gif"/></inline-formula> random variable are provided on Sugeno measure space. Then some important moment estimation inequalities based on <inline-formula> <graphic file="1029-242X-2010-290124-i3.gif"/></inline-formula> random variable are presented and proven.</p