Approximations of the Normal-Logistic Convolution Integral,

Abstract

The normal-logistic convolution arises in several statistical applications, including logistic regression models and multinomial logit models. We begin by characterizing the logistic distribution as a scale mixture of normals. We then construct least maximum approximations of the logistic distribution function using finite discrete mixtures of normal df's using the Remes algorithm. The convolution integral follows by convolving this approximation with the normal.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADP007186

Entities

People

  • John F. Monahan
  • Leonard A. Stefanski

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Science
  • Convolution
  • Convolution Integrals
  • Distribution Functions
  • Engineering
  • Integrals
  • Mathematics
  • Statistics
  • Theoretical Computer Science

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Statistical inference.