Theory of Inverse Moments

Abstract

The characteristic function for inverse moments called the inverse characteristic function (inverse c. f.) is defined. Liafounov's inequality for inverse moments is obtained. Various prop erties, in particular, the uniqueness property (also called the inversion formula), limit and continuity properties, are studied. Illustra tions are provided wherever necessary. Many results admit multivariate generalizations. In verse order staty3ics are defined. Also, some applications of inverse moments are considered.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1962
Accession Number
AD0410087

Entities

People

  • Zakkula Govindarajulu

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Continuity
  • Department Of Defense
  • Distribution Functions
  • Inequalities
  • Inversion
  • Order Statistics
  • Probability
  • Random Variables
  • Real Numbers
  • Scientific Research
  • Sequences
  • Statistical Samples
  • Statistics
  • Theorems
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Snow Cover Descriptors for Reptiles and Their Illustrations.