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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: Ahsanullah, Mohammad [author.]Contributor(s): Kibria, B.M. Golam [author.] | Shakil, Mohammad [author.] | SpringerLink (Online service)Material type: TextTextSeries: Atlantis Studies in Probability and StatisticsPublication details: 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 resourceISBN: 9789462390614Subject(s): Statistics | Computer Science | mathematics | Economics | social sciences | Statistics | Statistics, general | Mathematics, general | Economics/Management Science, general | Social Sciences, general | Computer Science, general | Education (general)DDC classification: 519.5 LOC classification: QA276-280Online resources: Click here to access online
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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