GENERALIZED HURWITZ ZETA DISTRIBUTIONS

Author:

Syouta MIZUKAMI, Takashi NAKAMURA

2010 Mathematics Subject Classification:

60E10, 11M41.

Keywords:

exponential distribution, Hurwitz zeta distribution, Hurwitz zeta-function, Riemann zeta distribution.

Abstract:

Hu, Iksanov, Lin and Zakusylo [5] introduced and studied the Hurwitz zeta distribution. In the present paper, we introduce generalize Hurwitz zeta distributions and investigate this class. We show that this class contains many fundamental discrete probability distributions and consider its scaling limit theorem.

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Mizu-Naka-2013

Vol. 8 (16), 2013