Growth Rates of Moment Sequences.
STANFORD UNIV CA DEPT OF STATISTICS
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General properties of growth rates of moment sequences of nonnegative random variables are presented. Then asymptotic results on moment sequences are derived for two classes of distribution functions. Explicitly, let a monotone be increasing twice differentiable regularly varying function at infinity. A second class of distribution functions is defined. Finally, several examples are given to illustrate the possible different asymptotic growth rates of moments.
- Statistics and Probability