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Normal and Student´s t Distributions and Their Applications [electronic resource] / by Mohammad Ahsanullah, B.M. Golam Kibria, Mohammad Shakil.

By: Contributor(s): Material type: TextTextSeries: Atlantis Studies in Probability and Statistics ; 4Publisher: Paris : Atlantis Press : Imprint: Atlantis Press, 2014Description: XII, 157 p. 36 illus., 27 illus. in color. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789462390614
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 519.5 23
LOC classification:
  • QA276-280
Online resources:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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