Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications
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...
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Format: | Article |
Language: | English |
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Springer
2020-03-01
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Series: | Journal of Statistical Theory and Applications (JSTA) |
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Online Access: | https://www.atlantis-press.com/article/125935541/view |
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author | Mervat Mahdy Dina Samir |
author_facet | Mervat Mahdy Dina Samir |
author_sort | Mervat Mahdy |
collection | DOAJ |
description | 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. |
first_indexed | 2024-04-14T05:30:45Z |
format | Article |
id | doaj.art-2f7c183b35bf48b5a9ba735f106e6e5f |
institution | Directory Open Access Journal |
issn | 2214-1766 |
language | English |
last_indexed | 2024-04-14T05:30:45Z |
publishDate | 2020-03-01 |
publisher | Springer |
record_format | Article |
series | Journal of Statistical Theory and Applications (JSTA) |
spelling | doaj.art-2f7c183b35bf48b5a9ba735f106e6e5f2022-12-22T02:09:48ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662020-03-0119110.2991/jsta.d.200224.003Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental ApplicationsMervat MahdyDina SamirIn 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.https://www.atlantis-press.com/article/125935541/viewNakagami distributionSelection modelDistribution theoryMoment generating functionLog-likelihood functionMonte Carlo simulation |
spellingShingle | Mervat Mahdy Dina Samir Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications Journal of Statistical Theory and Applications (JSTA) Nakagami distribution Selection model Distribution theory Moment generating function Log-likelihood function Monte Carlo simulation |
title | Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications |
title_full | Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications |
title_fullStr | Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications |
title_full_unstemmed | Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications |
title_short | Construction, Characterization, Estimation and Performance Analysis of Selection Generalized Nakagami Distributions with Environmental Applications |
title_sort | construction characterization estimation and performance analysis of selection generalized nakagami distributions with environmental applications |
topic | Nakagami distribution Selection model Distribution theory Moment generating function Log-likelihood function Monte Carlo simulation |
url | https://www.atlantis-press.com/article/125935541/view |
work_keys_str_mv | AT mervatmahdy constructioncharacterizationestimationandperformanceanalysisofselectiongeneralizednakagamidistributionswithenvironmentalapplications AT dinasamir constructioncharacterizationestimationandperformanceanalysisofselectiongeneralizednakagamidistributionswithenvironmentalapplications |