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

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Normal and Student´s t Distributions and Their Applications

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

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Abstract

This chapter presents the distributions of the sum \(X + Y\), product XY, and ratio X/Y when X and Y are independent random variables and have the Student’s t distributions with appropriate degrees of freedoms.

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Authors and Affiliations

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

    Mohammad Ahsanullah

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

    B. M. Golam Kibria

  3. Department of Mathematics, Miami Dade College, Hialeah, FL, USA

    Mohammad Shakil

Authors
  1. Mohammad Ahsanullah
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  2. B. M. Golam Kibria
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  3. Mohammad Shakil
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Correspondence to Mohammad Ahsanullah .

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Ahsanullah, M., Kibria, B.M.G., Shakil, M. (2014). Sum, Product and Ratio for the Student’s \(t\) Random Variables. In: Normal and Student´s t Distributions and Their Applications. Atlantis Studies in Probability and Statistics, vol 4. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-061-4_5

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