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A note on the sum of uniform random variables

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  • Buonocore, Aniello
  • Pirozzi, Enrica
  • Caputo, Luigia
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    Abstract

    An inductive procedure is used to obtain distributions and probability densities for the sum Sn of independent, non-equally uniform random variables. Some known results are then shown to follow immediately as special cases. Under the assumption of equally uniform random variables some new formulas are obtained for probabilities and means related to Sn. Finally, some new recursive formulas involving distributions are derived.

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    File URL: http://www.sciencedirect.com/science/article/B6V1D-4WNXTVB-1/2/5d3f5cb45e2660a5d69ca77c94463f7d
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    Bibliographic Info

    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 79 (2009)
    Issue (Month): 19 (October)
    Pages: 2092-2097

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    Handle: RePEc:eee:stapro:v:79:y:2009:i:19:p:2092-2097

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    1. David Bradley & Ramesh Gupta, 2002. "On the Distribution of the Sum of n Non-Identically Distributed Uniform Random Variables," Annals of the Institute of Statistical Mathematics, Springer, vol. 54(3), pages 689-700, September.
    2. Heinrich Potuschak & Werner Müller, 2009. "More on the distribution of the sum of uniform random variables," Statistical Papers, Springer, vol. 50(1), pages 177-183, January.
    3. S. Sadooghi-Alvandi & A. Nematollahi & R. Habibi, 2009. "On the distribution of the sum of independent uniform random variables," Statistical Papers, Springer, vol. 50(1), pages 171-175, January.
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