Normal and Student´s t Distributions and Their Applications

✍ Scribed by Mohammad Ahsanullah, B.M. Golam Kibria, Mohammad Shakil (auth.)

Publisher: Atlantis Press
Year: 2014
Tongue: English
Leaves: 163
Series: Atlantis Studies in Probability and Statistics 4
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages i-xii
Introduction....Pages 1-6
Normal Distribution....Pages 7-50
Student’s $$t$$ t Distribution....Pages 51-62
Sum, Product and Ratio for the Normal Random Variables....Pages 63-79
Sum, Product and Ratio for the Student’s $$t$$ t Random Variables....Pages 81-91
Sum, Product and Ratio for the Normal and Student’s t Random Variables....Pages 93-101
Product of the Normal and Student’s $$t$$ t Densities....Pages 103-111
Characterizations of Normal Distribution....Pages 113-127
Characterizations of Student’s t Distribution....Pages 129-141
Concluding Remarks and Some Future Research....Pages 143-144
Back Matter....Pages 145-157

✦ Subjects

Statistics, general; Mathematics, general; Economics/Management Science, general; Social Sciences, general; Computer Science, general; Education (general)

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