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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Main Authors: Mervat Mahdy, Dina Samir
Format: Article
Language:English
Published: Springer 2020-03-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
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.
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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