Normal and Student´s t Distributions and Their Applications

• Main Authors: Ahsanullah, Mohammad (Author), Kibria, B.M. Golam (Author), Shakil, Mohammad (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2014.
• Series: Atlantis Studies in Probability and Statistics, 4
• Subjects: Statistics.; Business.; Management science.; Computer science.; Mathematics.; Education.; Social sciences.; Statistics, general.; Mathematics, general.; Business and Management, general.; Social Sciences, general.; Computer Science, general.; Education, general.

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...

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.