A model for bimodal rates and proportions
© 2022 Informa UK Limited, trading as Taylor & Francis Group..
The beta model is the most important distribution for fitting data with the unit interval. However, the beta distribution is not suitable to model bimodal unit interval data. In this paper, we propose a bimodal beta distribution constructed by using an approach based on the alpha-skew-normal model. We discuss several properties of this distribution, such as bimodality, real moments, entropies and identifiability. Furthermore, we propose a new regression model based on the proposed model and discuss residuals. Estimation is performed by maximum likelihood. A Monte Carlo experiment is conducted to evaluate the performances of these estimators in finite samples with a discussion of the results. An application is provided to show the modelling competence of the proposed distribution when the data sets show bimodality.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2024 |
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| Erschienen: |
2024 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:51 |
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| Enthalten in: |
Journal of applied statistics - 51(2024), 4 vom: 23., Seite 664-681 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Vila, Roberto [VerfasserIn] |
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| Links: |
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| Themen: |
Beta distribution |
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| Anmerkungen: |
Date Revised 14.03.2024 published: Electronic-eCollection Citation Status PubMed-not-MEDLINE |
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| doi: |
10.1080/02664763.2022.2146661 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
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| 520 | |a The beta model is the most important distribution for fitting data with the unit interval. However, the beta distribution is not suitable to model bimodal unit interval data. In this paper, we propose a bimodal beta distribution constructed by using an approach based on the alpha-skew-normal model. We discuss several properties of this distribution, such as bimodality, real moments, entropies and identifiability. Furthermore, we propose a new regression model based on the proposed model and discuss residuals. Estimation is performed by maximum likelihood. A Monte Carlo experiment is conducted to evaluate the performances of these estimators in finite samples with a discussion of the results. An application is provided to show the modelling competence of the proposed distribution when the data sets show bimodality | ||
| 650 | 4 | |a Journal Article | |
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| 700 | 1 | |a Menezes, André F B |e verfasserin |4 aut | |
| 700 | 1 | |a Çankaya, Mehmet N |e verfasserin |4 aut | |
| 700 | 1 | |a Bourguignon, Marcelo |e verfasserin |4 aut | |
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