Normal and Students t Distributions and Their Applications [Hardcover]

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.Introduction.- Normal Distributions.- Students Distributions.- Sum, Product & Ratio for the Normal Random Variables.- Sum, Product & Ratio for the Students Random Variables.- Sum, Product & Ratio for the Normal and Students Random Variables.- Product of the Normal and Students Densities.- Characterizations of Normal Distributions.- Characterizations of Students?Distributions.- Concluding Remarks.

From the book reviews:

The aim of this book is to study the two most important continuous distributions, normal and Students 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 Students t distribution. (Miroslav M. Risti, Mathematical Reviews, February, 2015)

Detailed and complete presentations of the two important distributions are given

Detailed and complete descriptions of the applications of the theories are explicitly shown

New results and their application are rigorously explained