IDEAS home Printed from https://ideas.repec.org/a/vrs/demode/v9y2021i1p374-384n3.html
   My bibliography  Save this article

On a general class of gamma based copulas

Author

Listed:
  • Arnold Barry C.

    (Department of Statistics, University of California, Riverside, USA)

  • Arvanitis Matthew

    (USDA Forest Products Laboratory, Madison, Wisconsin, USA)

Abstract

A large family of copulas with gamma components is examined, and interesting submodels are defined and analyzed. Parameter estimation is demonstrated for some of these submodels. A brief discussion of higher-dimensional versions is included.

Suggested Citation

  • 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.
  • Handle: RePEc:vrs:demode:v:9:y:2021:i:1:p:374-384:n:3
    DOI: 10.1515/demo-2021-0117
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/demo-2021-0117
    Download Restriction: no

    File URL: https://libkey.io/10.1515/demo-2021-0117?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Magnussen, Steen, 2004. "An algorithm for generating positively correlated Beta-distributed random variables with known marginal distributions and a specified correlation," Computational Statistics & Data Analysis, Elsevier, vol. 46(2), pages 397-406, June.
    2. Arnold, Barry C. & Tony Ng, Hon Keung, 2011. "Flexible bivariate beta distributions," Journal of Multivariate Analysis, Elsevier, vol. 102(8), pages 1194-1202, September.
    3. Olkin, Ingram & Liu, Ruixue, 2003. "A bivariate beta distribution," Statistics & Probability Letters, Elsevier, vol. 62(4), pages 407-412, May.
    4. Ali, Mir M. & Mikhail, N. N. & Haq, M. Safiul, 1978. "A class of bivariate distributions including the bivariate logistic," Journal of Multivariate Analysis, Elsevier, vol. 8(3), pages 405-412, September.
    Full references (including those not matched with items on IDEAS)

    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. Susanne Trick & Constantin A. Rothkopf & Frank Jäkel, 2023. "Parameter estimation for a bivariate beta distribution with arbitrary beta marginals and positive correlation," METRON, Springer;Sapienza Università di Roma, vol. 81(2), pages 163-180, August.
    2. Olkin, Ingram & Trikalinos, Thomas A., 2015. "Constructions for a bivariate beta distribution," Statistics & Probability Letters, Elsevier, vol. 96(C), pages 54-60.
    3. 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.
    4. Nozer D. Singpurwalla & Barry C. Arnold & Joseph L. Gastwirth & Anna S. Gordon & Hon Keung Tony Ng, 2016. "Adversarial and Amiable Inference in Medical Diagnosis, Reliability and Survival Analysis," International Statistical Review, International Statistical Institute, vol. 84(3), pages 390-412, December.
    5. F. Marta L. Di Lascio & Andrea Menapace & Roberta Pappadà, 2024. "A spatially‐weighted AMH copula‐based dissimilarity measure for clustering variables: An application to urban thermal efficiency," Environmetrics, John Wiley & Sons, Ltd., vol. 35(1), February.
    6. repec:cte:wsrepe:ws131211 is not listed on IDEAS
    7. Bibby, Bo Martin & Væth, Michael, 2011. "The two-dimensional beta binomial distribution," Statistics & Probability Letters, Elsevier, vol. 81(7), pages 884-891, July.
    8. 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.
    9. Faugeras, Olivier P., 2009. "A quantile-copula approach to conditional density estimation," Journal of Multivariate Analysis, Elsevier, vol. 100(9), pages 2083-2099, October.
    10. Arjun Gupta & Johanna Orozco-Castañeda & Daya Nagar, 2011. "Non-central bivariate beta distribution," Statistical Papers, Springer, vol. 52(1), pages 139-152, February.
    11. M. Vrac & L. Billard & E. Diday & A. Chédin, 2012. "Copula analysis of mixture models," Computational Statistics, Springer, vol. 27(3), pages 427-457, September.
    12. 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.
    13. 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.
    14. 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.
    15. Mario Jovanovic, 2011. "Does Monetary Policy Affect Stock Market Uncertainty? – Empirical Evidence from the United States," Ruhr Economic Papers 0240, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    16. Koichi Hashizume & Jun Tshuchida & Takashi Sozu, 2022. "Flexible use of copula‐type model for dose‐finding in drug combination clinical trials," Biometrics, The International Biometric Society, vol. 78(4), pages 1651-1661, December.
    17. Emmanuel Afuecheta & Saralees Nadarajah & Stephen Chan, 2021. "A Statistical Analysis of Global Economies Using Time Varying Copulas," Computational Economics, Springer;Society for Computational Economics, vol. 58(4), pages 1167-1194, December.
    18. Yeshunying Wang & Chuancun Yin, 2021. "A New Class of Multivariate Elliptically Contoured Distributions with Inconsistency Property," Methodology and Computing in Applied Probability, Springer, vol. 23(4), pages 1377-1407, December.
    19. Gunsilius, Florian F., 2023. "A condition for the identification of multivariate models with binary instruments," Journal of Econometrics, Elsevier, vol. 235(1), pages 220-238.
    20. 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.
    21. repec:jss:jstsof:21:i04 is not listed on IDEAS
    22. Xiaohu Li & Yinping You, 2014. "A note on allocation of portfolio shares of random assets with Archimedean copula," Annals of Operations Research, Springer, vol. 212(1), pages 155-167, January.

    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:vrs:demode:v:9:y:2021:i:1:p:374-384:n:3. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.