Normal and Student´s t Distributions and Their Applications

The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The ma...

Full description

Bibliographic Details
Main Authors: Ahsanullah, Mohammad, Kibria, B.M. Golam (Author), Shakil, Mohammad (Author)
Format: eBook
Published: Paris Atlantis Press 2014, 2014
Edition:1st ed. 2014
Series:Atlantis Studies in Probability and Statistics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Introduction
  • Normal Distributions
  • Student’s Distributions
  • Sum, Product & Ratio for the Normal Random Variables
  • Sum, Product & Ratio for the Student’s Random Variables
  • Sum, Product & Ratio for the Normal and Student’s Random Variables
  • Product of the Normal and Student’s Densities
  • Characterizations of Normal Distributions
  • Characterizations of Student’s Distributions
  • Concluding Remarks