Sum, Product and Ratio for the Normal Random Variables

  • Mohammad AhsanullahEmail author
  • B. M. Golam Kibria
  • Mohammad Shakil
Part of the Atlantis Studies in Probability and Statistics book series (ATLANTISSPS, volume 4)


The distributions of the sum, product, and ratio of two independent random variables arise in many fields of research, for example, automation, biology, computer science, control theory, economics, engineering, fuzzy systems, genetics, hydrology, medicine, neuroscience, number theory, statistics, physics, psychology, reliability, risk management, etc. (for details, see Grubel (1968), Rokeach and Kliejunas (1972), Springer (1979), Kordonski and Gertsbakh (1995), Ladekarl et al. (1997), Amari and Misra (1997), Sornette (1998), Cigizoglu and Bayazit (2000), Brody et al. (2002), Galambos and Simonelli (2005), among others).


Characteristic Function Risk Management Probability Density Function Independent Random Variable Computer Algebra System 
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Copyright information

© Atlantis Press and the authors 2014

Authors and Affiliations

  • Mohammad Ahsanullah
    • 1
    Email author
  • B. M. Golam Kibria
    • 2
  • Mohammad Shakil
    • 3
  1. 1.Department of Management SciencesRider UniversityLawrencevilleUSA
  2. 2.Department of Mathematics and StatisticsFlorida International UniversityMiamiUSA
  3. 3.Department of MathematicsMiami Dade CollegeHialeahUSA

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