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The discrete delta and nabla Mittag-Leffler distributions

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  • M. Ganji
  • F. Gharari

Abstract

In this paper, we extend Bernstein theorem by using basic tools of calculus on time scales, and, as a further application of it, the discrete nabla and delta Mittag-Leffler distributions are introduced here with respect to their Laplace transforms on the discrete time scale. For these discrete distributions, infinite divisibility and geometric infinite divisibility are proved along with some statistical properties. The delta and nabla Mittag-Leffler processes are defined.

Suggested Citation

  • M. Ganji & F. Gharari, 2018. "The discrete delta and nabla Mittag-Leffler distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(18), pages 4568-4589, September.
    • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:18:p:4568-4589
    DOI: 10.1080/03610926.2017.1377254
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    Cited by:

    1. Panda, Sumati Kumari & Vijayakumar, Velusamy & Nagy, A.M., 2023. "Complex-valued neural networks with time delays in the Lp sense: Numerical simulations and finite time stability," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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