IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v81y2011i7p884-891.html
   My bibliography  Save this article

The two-dimensional beta binomial distribution

Author

Listed:
  • Bibby, Bo Martin
  • Væth, Michael

Abstract

We introduce the two-dimensional beta binomial distribution to describe correlated counts data. Properties of the distribution are explored and in an example the distribution is used to describe a set of orthodontic data.

Suggested Citation

  • Bibby, Bo Martin & Væth, Michael, 2011. "The two-dimensional beta binomial distribution," Statistics & Probability Letters, Elsevier, vol. 81(7), pages 884-891, July.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:7:p:884-891
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(10)00369-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Olkin, Ingram & Liu, Ruixue, 2003. "A bivariate beta distribution," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 407-412, May.
    2. Goro Ishii & Reiko Hayakawa, 1960. "On the compound binomial distribution," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 12(1), pages 69-80, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. David Peter Michael Scollnik, 2017. "Bayesian Inference for Three Bivariate Beta Binomial Models," The Open Statistics and Probability Journal, Bentham Open, vol. 8(1), pages 27-38, October.
    2. Olkin, Ingram & Trikalinos, Thomas A., 2015. "Constructions for a bivariate beta distribution," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 54-60.

    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.
    1. Arnold, Barry C. & Tony Ng, Hon Keung, 2011. "Flexible bivariate beta distributions," Journal of Multivariate Analysis, Elsevier, vol. 102(8), pages 1194-1202, September.
    2. David Peter Michael Scollnik, 2017. "Bayesian Inference for Three Bivariate Beta Binomial Models," The Open Statistics and Probability Journal, Bentham Open, vol. 8(1), pages 27-38, October.
    3. repec:cte:wsrepe:ws131211 is not listed on IDEAS
    4. A. El-Bassiouny & M. Jones, 2009. "A bivariate F distribution with marginals on arbitrary numerator and denominator degrees of freedom, and related bivariate beta and t distributions," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 18(4), pages 465-481, November.
    5. Heinen, Andréas & Valdesogo, Alfonso, 2020. "Spearman rank correlation of the bivariate Student t and scale mixtures of normal distributions," Journal of Multivariate Analysis, Elsevier, vol. 179(C).
    6. 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.
    7. Arjun Gupta & Johanna Orozco-Castañeda & Daya Nagar, 2011. "Non-central bivariate beta distribution," Statistical Papers, Springer, vol. 52(1), pages 139-152, February.
    8. 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.
    9. José A. Díaz-García & Francisco J. Caro-Lopera & Fredy O. Pérez Ramírez, 2022. "Multivector Variate Distributions," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 534-555, August.
    10. Bassetti, Federico & Casarin, Roberto & Leisen, Fabrizio, 2011. "Beta-product Poisson-Dirichlet Processes," DES - Working Papers. Statistics and Econometrics. WS 12160, Universidad Carlos III de Madrid. Departamento de Estadística.
    11. José Díaz-García & Ramón Gutiérrez-Jáimez, 2011. "Noncentral bimatrix variate generalised beta distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 73(3), pages 317-333, May.
    12. Arnold Barry C. & Arvanitis Matthew, 2021. "On a general class of gamma based copulas," Dependence Modeling, De Gruyter, vol. 9(1), pages 374-384, January.
    13. Laradji, A., 2015. "Sums of totally positive functions of order 2 and applications," Statistics & Probability Letters, Elsevier, vol. 105(C), pages 176-180.
    14. Corsini, Noemi & Viroli, Cinzia, 2022. "Dealing with overdispersion in multivariate count data," Computational Statistics & Data Analysis, Elsevier, vol. 170(C).
    15. Bassetti, Federico & Casarin, Roberto & Leisen, Fabrizio, 2014. "Beta-product dependent Pitman–Yor processes for Bayesian inference," Journal of Econometrics, Elsevier, vol. 180(1), pages 49-72.
    16. Edilberto Cepeda-Cuervo & Jorge Alberto Achcar & Liliana Garrido Lopera, 2014. "Bivariate beta regression models: joint modeling of the mean, dispersion and association parameters," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(3), pages 677-687, March.
    17. Olkin, Ingram & Trikalinos, Thomas A., 2015. "Constructions for a bivariate beta distribution," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 54-60.
    18. Zikopoulos, Christos & Tagaras, George, 2007. "Impact of uncertainty in the quality of returns on the profitability of a single-period refurbishing operation," European Journal of Operational Research, Elsevier, vol. 182(1), pages 205-225, October.
    19. Saralees Nadarajah, 2007. "A new bivariate beta distribution with application to drought data," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(2), pages 153-174.
    20. Catalina Bolancé & Montserrat Guillen & Albert Pitarque, 2020. "A Sarmanov Distribution with Beta Marginals: An Application to Motor Insurance Pricing," Mathematics, MDPI, vol. 8(11), pages 1-11, November.
    21. Khakzad, Nima & Khan, Faisal & Paltrinieri, Nicola, 2014. "On the application of near accident data to risk analysis of major accidents," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 116-125.

    Corrections

    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:eee:stapro:v:81:y:2011:i:7:p:884-891. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.