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A probability distribution associated with the Hurwitz zeta function


Author: R. L. Duncan
Journal: Proc. Amer. Math. Soc. 99 (1987), 757-759
MSC: Primary 60E05; Secondary 11M35, 60F99
DOI: https://doi.org/10.1090/S0002-9939-1987-0877052-1
MathSciNet review: 877052
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Abstract | References | Similar Articles | Additional Information

Abstract: A new discrete probability distribution is defined in terms of the Hurwitz zeta function and its relationship to the Poisson distribution is demonstrated.


References [Enhancements On Off] (What's this?)

  • [1] E. T. Whittaker and G. N. Watson, Modern analysis, Cambridge Univ. Press, New York, 1927.
  • [2] Marek Fisz, Probability theory and mathematical statistics, Third edition. Authorized translation from the Polish. Translated by R. Bartoszynski, John Wiley & Sons, Inc., New York-London, 1963. MR 0164358
  • [3] Norman L. Johnson and Samuel Kotz, Distributions in statistics: Discrete distributions, Houghton Mifflin Co., Boston, Mass., 1969. MR 0268996

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1987-0877052-1
Article copyright: © Copyright 1987 American Mathematical Society