A Family of Generalised Beta Distributions: Properties and Applications
Author
Abstract
Suggested Citation
DOI: 10.1007/s40745-018-0143-6
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Alexander, Carol & Cordeiro, Gauss M. & Ortega, Edwin M.M. & Sarabia, José María, 2012.
"Generalized beta-generated distributions,"
Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1880-1897.
- Carol Alexander & Jose Maria Sarabia, 2010. "Generalized Beta-Generated Distributions," ICMA Centre Discussion Papers in Finance icma-dp2010-09, Henley Business School, University of Reading.
- Carol Alexander & Gauss M. Cordeiro & Edwin M. M. Ortega & José MarÃa Sarabia, 2011. "Generalized Beta-Generated Distributions," ICMA Centre Discussion Papers in Finance icma-dp2011-05, Henley Business School, University of Reading.
- Gordy, Michael B, 1998.
"Computationally Convenient Distributional Assumptions for Common-Value Auctions,"
Computational Economics, Springer;Society for Computational Economics, vol. 12(1), pages 61-78, August.
- Michael B. Gordy, "undated". "Computationally Convenient Distributional Assumptions for Common Value Auctions," Finance and Economics Discussion Series 1997-05, Board of Governors of the Federal Reserve System (U.S.), revised 10 Dec 2019.
- Michael B. Gordy, 1997. "Computationally convenient distributional assumptions for common value auctions," Finance and Economics Discussion Series 1997-5, Board of Governors of the Federal Reserve System (U.S.).
- James B. McDonald, 2008.
"Some Generalized Functions for the Size Distribution of Income,"
Economic Studies in Inequality, Social Exclusion, and Well-Being, in: Duangkamon Chotikapanich (ed.), Modeling Income Distributions and Lorenz Curves, chapter 3, pages 37-55,
Springer.
- McDonald, James B, 1984. "Some Generalized Functions for the Size Distribution of Income," Econometrica, Econometric Society, vol. 52(3), pages 647-663, May.
- James J. Chen & Melvin R. Novick, 1984. "Bayesian Analysis for Binomial Models with Generalized Beta Prior Distributions," Journal of Educational and Behavioral Statistics, , vol. 9(2), pages 163-175, June.
- Silvia Ferrari & Francisco Cribari-Neto, 2004. "Beta Regression for Modelling Rates and Proportions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(7), pages 799-815.
- Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-333, March.
- Olkin, Ingram & Liu, Ruixue, 2003. "A bivariate beta distribution," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 407-412, May.
- M. Jones, 2004. "Families of distributions arising from distributions of order statistics," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 13(1), pages 1-43, June.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Annibal Parracho Sant’Anna & Gilson Brito Alves Lima & Leonardo Augusto da Fonseca Parracho Sant’Anna & Luiz Octávio Gavião, 2020. "Two-Stage Composition of Probabilistic Preferences," Annals of Data Science, Springer, vol. 7(3), pages 491-523, September.
- Jiong Liu & R. A. Serota, 2023. "Rethinking Generalized Beta family of distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(2), pages 1-14, February.
- Jiong Liu & R. A. Serota, 2022. "Rethinking Generalized Beta Family of Distributions," Papers 2209.05225, arXiv.org.
- Rafid S. A. Alshkaki, 2021. "A Six Parameters Beta Distribution with Application for Modeling Waiting Time of Muslim Early Morning Prayer," Annals of Data Science, Springer, vol. 8(1), pages 57-90, March.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Carol Alexander & Jose Maria Sarabia, 2010. "Endogenizing Model Risk to Quantile Estimates," ICMA Centre Discussion Papers in Finance icma-dp2010-07, Henley Business School, University of Reading.
- Jiong Liu & R. A. Serota, 2023. "Rethinking Generalized Beta family of distributions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(2), pages 1-14, February.
- Tommaso Lando & Lucio Bertoli-Barsotti, 2020. "Stochastic dominance relations for generalised parametric distributions obtained through composition," METRON, Springer;Sapienza Università di Roma, vol. 78(3), pages 297-311, December.
- Francesca Condino & Filippo Domma, 2017. "A new distribution function with bounded support: the reflected generalized Topp-Leone power series distribution," METRON, Springer;Sapienza Università di Roma, vol. 75(1), pages 51-68, April.
- Ibrahim Elbatal & Francesca Condino & Filippo Domma, 2016. "Reflected Generalized Beta Inverse Weibull Distribution: definition and properties," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 78(2), pages 316-340, November.
- Gómez-Déniz, Emilio & Sordo, Miguel A. & Calderín-Ojeda, Enrique, 2014. "The Log–Lindley distribution as an alternative to the beta regression model with applications in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 49-57.
- José María Sarabia & Vanesa Jordá & Faustino Prieto & Montserrat Guillén, 2020. "Multivariate Classes of GB2 Distributions with Applications," Mathematics, MDPI, vol. 9(1), pages 1-21, December.
- Jiong Liu & R. A. Serota, 2022. "Rethinking Generalized Beta Family of Distributions," Papers 2209.05225, arXiv.org.
- Alexander, Carol & Cordeiro, Gauss M. & Ortega, Edwin M.M. & Sarabia, José María, 2012.
"Generalized beta-generated distributions,"
Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1880-1897.
- Carol Alexander & Jose Maria Sarabia, 2010. "Generalized Beta-Generated Distributions," ICMA Centre Discussion Papers in Finance icma-dp2010-09, Henley Business School, University of Reading.
- Carol Alexander & Gauss M. Cordeiro & Edwin M. M. Ortega & José MarÃa Sarabia, 2011. "Generalized Beta-Generated Distributions," ICMA Centre Discussion Papers in Finance icma-dp2011-05, Henley Business School, University of Reading.
- Masanori Mitsutsune & Takanori Adachi, 2014.
"Estimating noncooperative and cooperative models of bargaining: an empirical comparison,"
Empirical Economics, Springer, vol. 47(2), pages 669-693, September.
- Masanori Mitsutsune & Takanori Adachi, 2011. "Estimating Noncooperative and Cooperative Models of Bargaining: An Empirical Comparison," KIER Working Papers 799, Kyoto University, Institute of Economic Research.
- Mehrzad Ghorbani & Seyed Fazel Bagheri & Mojtaba Alizadeh, 2017. "A New Family of Distributions: The Additive Modified Weibull Odd Log-logistic-G Poisson Family, Properties and Applications," Annals of Data Science, Springer, vol. 4(2), pages 249-287, June.
- José María Sarabia & Faustino Prieto & Vanesa Jordá & Stefan Sperlich, 2020. "A Note on Combining Machine Learning with Statistical Modeling for Financial Data Analysis," Risks, MDPI, vol. 8(2), pages 1-14, April.
- Pablo Mitnik & Sunyoung Baek, 2013. "The Kumaraswamy distribution: median-dispersion re-parameterizations for regression modeling and simulation-based estimation," Statistical Papers, Springer, vol. 54(1), pages 177-192, February.
- Guillermo Martínez-Flórez & Roger Tovar-Falón & Carlos Barrera-Causil, 2022. "Inflated Unit-Birnbaum-Saunders Distribution," Mathematics, MDPI, vol. 10(4), pages 1-14, February.
- Brzezinski, Michal, 2014.
"Empirical modeling of the impact factor distribution,"
Journal of Informetrics, Elsevier, vol. 8(2), pages 362-368.
- Michał Brzeziński, 2014. "Empirical modeling of the impact factor distribution," Working Papers 2014-01, Faculty of Economic Sciences, University of Warsaw.
- Vladimir Hlasny, 2021.
"Parametric representation of the top of income distributions: Options, historical evidence, and model selection,"
Journal of Economic Surveys, Wiley Blackwell, vol. 35(4), pages 1217-1256, September.
- Vladimir Hlasny, 2020. "Parametric Representation of the Top of Income Distributions: Options, Historical Evidence and Model Selection," Working Papers 547, ECINEQ, Society for the Study of Economic Inequality.
- Vladimir Hlasny, 2020. "Parametric Representation of the Top of Income Distributions: Options, Historical Evidence and Model Selection," Commitment to Equity (CEQ) Working Paper Series 90, Tulane University, Department of Economics.
- M. C. Jones, 2015. "On Families of Distributions with Shape Parameters," International Statistical Review, International Statistical Institute, vol. 83(2), pages 175-192, August.
- Krüger, Steffen & Oehme, Toni & Rösch, Daniel & Scheule, Harald, 2018. "A copula sample selection model for predicting multi-year LGDs and Lifetime Expected Losses," Journal of Empirical Finance, Elsevier, vol. 47(C), pages 246-262.
- Maha A. Omair & Yusra A. Tashkandy & Sameh Askar & Abdulhamid A. Alzaid, 2022. "Family of Distributions Derived from Whittaker Function," Mathematics, MDPI, vol. 10(7), pages 1-23, March.
- Lando, Tommaso & Bertoli-Barsotti, Lucio, 2020. "Second-order stochastic dominance for decomposable multiparametric families with applications to order statistics," Statistics & Probability Letters, Elsevier, vol. 159(C).
More about this item
Keywords
Beta distribution; Data fitting; Estimation; Generalised gamma distribution; G3B distribution; Simulation;All these keywords.
JEL classification:
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:aodasc:v:5:y:2018:i:3:d:10.1007_s40745-018-0143-6. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.