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Normal and Student´s t Distributions and Their Applications

  • Textbook
  • © 2014

Overview

Authors:
  1. Mohammad Ahsanullah

    1. Department of Management Sciences, Rider University, Lawrenceville, USA

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    You can also search for this author in PubMed   Google Scholar

  2. B.M. Golam Kibria

    1. Department of Mathematics and Statistics, Florida International University, Miami, USA

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    You can also search for this author in PubMed   Google Scholar

  3. Mohammad Shakil

    1. Department of Mathematics, Miami Dade College, Hialeah, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Atlantis Studies in Probability and Statistics (ATLANTISSPS, volume 4)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introduction

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 1-6

  3. Normal Distribution

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 7-50

  4. Student’s \(t\) Distribution

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 51-62

  5. Sum, Product and Ratio for the Normal Random Variables

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 63-79

  6. Sum, Product and Ratio for the Student’s \(t\) Random Variables

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 81-91

  7. Sum, Product and Ratio for the Normal and Student’s t Random Variables

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 93-101

  8. Product of the Normal and Student’s \(t\) Densities

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 103-111

  9. Characterizations of Normal Distribution

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 113-127

  10. Characterizations of Student’s t Distribution

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 129-141

  11. Concluding Remarks and Some Future Research

    • Mohammad Ahsanullah, B. M. Golam Kibria, Mohammad Shakil
    Pages 143-144

  12. Back Matter

    Pages 145-157
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Keywords

About this book

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.

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)

Authors and Affiliations

  • Department of Management Sciences, Rider University, Lawrenceville, USA

    Mohammad Ahsanullah

  • Department of Mathematics and Statistics, Florida International University, Miami, USA

    B.M. Golam Kibria

  • Department of Mathematics, Miami Dade College, Hialeah, USA

    Mohammad Shakil

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