Journal of Statistical Theory and Applications

Volume 17, Issue 1, March 2018, Pages 39 - 58

A New Method for Generating Discrete Analogues of Continuous Distributions

Authors
M. Ganjimganji@uma.ac.ir, F. Ghararif.gharari@uma.ac.ir
Department of statistics, University of Mohaghegh Ardabili, Ardabil, Iran.
Received 9 May 2017, Accepted 12 September 2017, Available Online 31 March 2018.
DOI
https://doi.org/10.2991/jsta.2018.17.1.4How to use a DOI?
Keywords
Discrete fractional calulus, Time scale, Gamma distribution
Abstract

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
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/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
17 - 1
Pages
39 - 58
Publication Date
2018/03
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2018.17.1.4How to use a DOI?
Copyright
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  -