Proceedings of the 2018 International Conference on Computer Modeling, Simulation and Algorithm (CMSA 2018)

The Statistical Properties of the Probabilistic Distributions Generated by Gamma Statistics

Authors
Oleg V. Chernoyarov, Alexandra V. Salnikova, Vladimir I. Kostylev
Corresponding Author
Oleg V. Chernoyarov
Available Online April 2018.
DOI
https://doi.org/10.2991/cmsa-18.2018.59How to use a DOI?
Keywords
composition of statistics; replicating statistics; exponential, Gamma, Erlang distribution.
Abstract

We show that hyperexponential and hyper-Erlang distributions reproduce themselves by composition. We find new formulas for probability densities and distribution functions of Gamma statistics sums.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2018 International Conference on Computer Modeling, Simulation and Algorithm (CMSA 2018)
Series
Advances in Intelligent Systems Research
Publication Date
April 2018
ISBN
10.2991/cmsa-18.2018.59
ISSN
1951-6851
DOI
https://doi.org/10.2991/cmsa-18.2018.59How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Oleg V. Chernoyarov
AU  - Alexandra V. Salnikova
AU  - Vladimir I. Kostylev
PY  - 2018/04
DA  - 2018/04
TI  - The Statistical Properties of the Probabilistic Distributions Generated by Gamma Statistics
BT  - Proceedings of the 2018 International Conference on Computer Modeling, Simulation and Algorithm (CMSA 2018)
PB  - Atlantis Press
SP  - 258
EP  - 262
SN  - 1951-6851
UR  - https://doi.org/10.2991/cmsa-18.2018.59
DO  - https://doi.org/10.2991/cmsa-18.2018.59
ID  - Chernoyarov2018/04
ER  -