Journal of Statistical Theory and Applications

Volume 19, Issue 1, March 2020, Pages 75 - 90

Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications

Authors
Mervat Mahdy*, Dina Samir
Department of Statistics, Mathematics and Insurance, College of Commerce, Benha University, Egypt
*Corresponding author. Email: drmervat.mahdy@fcom.bu.edu.eg
Corresponding Author
Mervat Mahdy
Received 3 August 2018, Accepted 11 March 2019, Available Online 6 March 2020.
DOI
10.2991/jsta.d.200224.003How to use a DOI?
Keywords
Nakagami distribution; Selection model; Distribution theory; Moment generating function; Log-likelihood function; Monte Carlo simulation
Abstract

In this article, a selection of Nakagami distribution is investigated. Some properties of the model with some plots of the density function are illustrated. Additionally, weighted of the one-sided Gaussian distribution, Generalized Rayleigh distribution are discussed as a special case of Generalized Nakagami distribution. In addition, maximum likelihood estimators are investigated with numerical methods and are compared by four sub-models with a real wave height data set. Finally, a simulation study is presented for parameters.

Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 1
Pages
75 - 90
Publication Date
2020/03/06
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.200224.003How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Mervat Mahdy
AU  - Dina Samir
PY  - 2020
DA  - 2020/03/06
TI  - Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications
JO  - Journal of Statistical Theory and Applications
SP  - 75
EP  - 90
VL  - 19
IS  - 1
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.200224.003
DO  - 10.2991/jsta.d.200224.003
ID  - Mahdy2020
ER  -