Normal and Student´s t Distributions and Their Applications

by Mohammad Ahsanullah, B.M. Golam Kibria, Mohammad Shakil

Overview

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 materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering.

Product Details

ISBN-13:	9789462390607
Publisher:	Atlantis Press
Publication date:	02/08/2014
Series:	Atlantis Studies in Probability and Statistics , #4
Edition description:	2014
Pages:	157
Product dimensions:	6.10(w) x 9.25(h) x (d)

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.

Editorial Reviews

From the book reviews:

“The aim of this book is to study the two most important continuous distributions, normal and Student’s t distribution. It is an interesting and well-written book with very clear exposition. The material presented is very useful both for students and researchers in various fields of science. … the book is very interesting and it will be useful for those who want to study normal and Student’s t distribution.” (Miroslav M. Ristić, Mathematical Reviews, February, 2015)

From the Publisher