Growth Rates of Moment Sequences.

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Jul 30, 1980
Accession Number
ADA089529

Entities

People

  • William L. Harkness

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Distribution Functions
  • Inequalities
  • Military Research
  • New York
  • Normal Distribution
  • Numbers
  • Probability
  • Random Variables
  • Real Numbers
  • Sequences
  • Statistics
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.