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Normal and Student´s t Distributions and Their Applications

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...

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Bibliographic Details
Main Authors: Ahsanullah, Mohammad. (Author, http://id.loc.gov/vocabulary/relators/aut), Kibria, B.M. Golam. (http://id.loc.gov/vocabulary/relators/aut), Shakil, Mohammad. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Paris : Atlantis Press : Imprint: Atlantis Press, 2014.
Edition:1st ed. 2014.
Series:Atlantis Studies in Probability and Statistics, 4
Subjects:
Statistics .
Mathematics.
Business.
Management science.
Social sciences.
Computer science.
Education.
Statistics, general.
Mathematics, general.
Business and Management, general.
Social Sciences, general.
Computer Science, general.
Education, general.
Online Access:https://doi.org/10.2991/978-94-6239-061-4
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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.

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