Three-Inflated Poisson Distribution and its Application in Suicide Cases of India During Covid-19 Pandemic

Inflated models are generally used whenever there is an excess number of frequencies at particular count. In this study, a three-inflated Poisson (ThIP) distribution is proposed by mixing the Poisson distribution and a distribution to a point mass at three. Some of its distribution properties and re...

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Autores principales: Rahman, Tousifur, Hazarika, Partha Jyoti, Ali, M. Masoom, Barman, Manash Pratim
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8923122/
http://dx.doi.org/10.1007/s40745-022-00372-1
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author Rahman, Tousifur
Hazarika, Partha Jyoti
Ali, M. Masoom
Barman, Manash Pratim
author_facet Rahman, Tousifur
Hazarika, Partha Jyoti
Ali, M. Masoom
Barman, Manash Pratim
author_sort Rahman, Tousifur
collection PubMed
description Inflated models are generally used whenever there is an excess number of frequencies at particular count. In this study, a three-inflated Poisson (ThIP) distribution is proposed by mixing the Poisson distribution and a distribution to a point mass at three. Some of its distribution properties and reliability characteristics are studied. A simulation study is carried out to see the performance of the MLEs. In India Covid-19 implications on mental health have been abysmal. Covid-19 related suicide data of India during lockdown to the first gradual relaxation of the terms of the total lockdown (unlocking 1.0) are used to examine the appropriateness of the proposed distribution. Likelihood ratio test is used for discriminating between Poisson and the proposed distribution.
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spelling pubmed-89231222022-03-15 Three-Inflated Poisson Distribution and its Application in Suicide Cases of India During Covid-19 Pandemic Rahman, Tousifur Hazarika, Partha Jyoti Ali, M. Masoom Barman, Manash Pratim Ann. Data. Sci. Article Inflated models are generally used whenever there is an excess number of frequencies at particular count. In this study, a three-inflated Poisson (ThIP) distribution is proposed by mixing the Poisson distribution and a distribution to a point mass at three. Some of its distribution properties and reliability characteristics are studied. A simulation study is carried out to see the performance of the MLEs. In India Covid-19 implications on mental health have been abysmal. Covid-19 related suicide data of India during lockdown to the first gradual relaxation of the terms of the total lockdown (unlocking 1.0) are used to examine the appropriateness of the proposed distribution. Likelihood ratio test is used for discriminating between Poisson and the proposed distribution. Springer Berlin Heidelberg 2022-03-15 2022 /pmc/articles/PMC8923122/ http://dx.doi.org/10.1007/s40745-022-00372-1 Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2022 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Rahman, Tousifur
Hazarika, Partha Jyoti
Ali, M. Masoom
Barman, Manash Pratim
Three-Inflated Poisson Distribution and its Application in Suicide Cases of India During Covid-19 Pandemic
title Three-Inflated Poisson Distribution and its Application in Suicide Cases of India During Covid-19 Pandemic
title_full Three-Inflated Poisson Distribution and its Application in Suicide Cases of India During Covid-19 Pandemic
title_fullStr Three-Inflated Poisson Distribution and its Application in Suicide Cases of India During Covid-19 Pandemic
title_full_unstemmed Three-Inflated Poisson Distribution and its Application in Suicide Cases of India During Covid-19 Pandemic
title_short Three-Inflated Poisson Distribution and its Application in Suicide Cases of India During Covid-19 Pandemic
title_sort three-inflated poisson distribution and its application in suicide cases of india during covid-19 pandemic
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8923122/
http://dx.doi.org/10.1007/s40745-022-00372-1
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