An Extended Laha-Lukacs Characterization Result Revisited.

Abstract

Recently Fosam and Shanbhag (1997) gave an extended version of the Laha-Lukacs characterization result based on a regression property, subsuming the Letac-Mora characterizations of the natural exponential families of distributions with variances as cubic functions of means. In the present note, we provide a new approach based on functional equations to arrive at the Fosam-Shanbhag result.

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Document Details

Document Type
Technical Report
Publication Date
Jul 21, 1999
Accession Number
ADA370303

Entities

People

  • D. N. Shanbhag
  • V. Seshadri

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Binomials
  • Classification
  • Differential Equations
  • Equations
  • Gaussian Distributions
  • Governments
  • Intellectual Property
  • Multivariate Analysis
  • Notation
  • Numbers
  • Random Variables
  • Real Numbers
  • Security
  • Sequences
  • United States
  • United States Government
  • Universities

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  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.