AN APPROXIMATION TO THE DISTRIBUTION OF Q (A VARIATE RELATED TO THE NON-CENTRAL T)

Abstract

A mathematical procedure which provides an easily available approximation to the distribution function of Q, or any monotone function of it, employing values of the beta distribution is presented and values of the mean and variance of Q for given theta and n are given. In particular, this approximation provides values for the probabili y integral of the non-central t (or any monotone function of it) for small non-centrality values. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0267741

Entities

People

  • D. Hogben
  • M.b. Wilk
  • R.s. Pinkham

Organizations

  • Rutgers University–New Brunswick

Tags

DTIC Thesaurus Topics

  • Calculus
  • Complex Variables
  • Distribution Functions
  • Functions (Mathematics)
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Monotone Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Regression Analysis.