A Characterization of a Polya-Eggenberger and Other Discrete Distributions by Record Values.

Abstract

Let X sub 1, X sub 2, ....., be a sequence of independent and identifically distributed discrete random variables. Define the sequence N(n) by N(1)=1, N(n)=min such that j/j N(n-1), X sub j X sub n (n-1), n=2,3,... Let R sub n=X sub N(n). Then R sub n is the sequence of record values. By convention R sub 1=X sub 1. Here a characterization of a Polya Eggenberger and other discrete distributions including the geometric, is made by the linearity of regression of R sub 2 -R sub 1 on R sub 1. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1980
Accession Number
ADA092536

Entities

People

  • Ramesh M. Korwar

Organizations

  • University of Massachusetts Amherst

Tags

DTIC Thesaurus Topics

  • Air Force
  • Complex Variables
  • Discrete Distribution
  • Functions (Mathematics)
  • Hypergeometric Functions
  • Linearity
  • Massachusetts
  • Mathematical Analysis
  • Mathematics
  • Probability
  • Random Variables
  • Scientific Research
  • Sequences
  • Special Functions (Mathematics)
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Statistical inference.