A New Method for Generating Discrete Analogues of Continuous Distributions
- https://doi.org/10.2991/jsta.2018.17.1.4How to use a DOI?
- Discrete fractional calulus, Time scale, Gamma distribution
In this paper we use discrete fractional calculus for showing the existence of delta and nabla discrete distributions and then apply time scales for definition of delta and nabla discrete gamma distributions. The main result of this paper is unification of the continuous and discrete gamma distributions, which is at the same time a distribution to so-called time scale. Also, starting from the Laplace transform on time scales, we develop concept of moment generating function for these distributions.
- Copyright © 2018, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).
Cite this article
TY - JOUR AU - M. Ganji AU - F. Gharari PY - 2018 DA - 2018/03 TI - A New Method for Generating Discrete Analogues of Continuous Distributions JO - Journal of Statistical Theory and Applications SP - 39 EP - 58 VL - 17 IS - 1 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2018.17.1.4 DO - https://doi.org/10.2991/jsta.2018.17.1.4 ID - Ganji2018 ER -