On the Convolution of Logistic Random Variables.

Abstract

The logistic distribution is used for stochastic modelling in fields of applications such as biology, economics and medicine. The convolution of logistic random variables plays an important role in estimation of and testing of hypotheses regarding the parameters of the distribution. In this paper the characteristic function is inverted to obtain a neat expression for the d.f. of the convolution. It is demonstrated that a student's t-distribution provides a very close approximation to the convolution. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA049996

Entities

People

  • E. Olusegun George
  • Govind S. Mudholkar

Organizations

  • University of Rochester

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Bioassay
  • Contour Integrals
  • Convolution
  • Data Science
  • Distribution Functions
  • Equations
  • Governments
  • Infinite Series
  • Information Science
  • Inversion
  • Military Research
  • Normal Distribution
  • Order Statistics
  • Random Variables
  • Statistics
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Statistical inference.