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Some integral inequalities, with application to bounds for moments of a distribution

Published online by Cambridge University Press:  17 February 2009

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The resolution of many problems in probability depends on being able to provide sufficiently good upper or lower bounds to certain moments of distributions. A striking example from the literature of a result that can offer such bounds was given by Pó1ya over sixty years ago as the following theorem (see [7, Vol. II, p. 144] and [7, Vol. I, p. 94]).

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1997

References

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