IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v113y2013icp2-6.html
   My bibliography  Save this article

New discrete Appell and Humbert distributions with relevance to bivariate accident data

Author

Listed:
  • Kemp, Adrienne W.

Abstract

The paper categorizes discrete multivariate distributions into classes according to the forms of their probability generating functions, putting especial emphasis on those with pgf’s involving Lauricella functions. The LPSDs are Lauricella power series distributions where the arguments of the function are proportional to the generating variables. Lauricella factorial moment distributions, LFMDs, have arguments of the form λi(si−1), where si is a generating variable. New LFMDs are created; the differences between these and Xekalaki’s generalized Waring distribution are clarified using bivariate accident models.

Suggested Citation

  • Kemp, Adrienne W., 2013. "New discrete Appell and Humbert distributions with relevance to bivariate accident data," Journal of Multivariate Analysis, Elsevier, vol. 113(C), pages 2-6.
    • Handle: RePEc:eee:jmvana:v:113:y:2013:i:c:p:2-6
    DOI: 10.1016/j.jmva.2011.08.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047259X11001709
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jmva.2011.08.011?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
    ---><---

    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. C. Satheesh Kumar, 2008. "A unified approach to bivariate discrete distributions," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 67(1), pages 113-123, January.
    2. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
    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. Debasis Kundu, 2020. "On a General Class of Discrete Bivariate Distributions," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(2), pages 270-304, November.

    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. Panaretos, John & Xekalaki, Evdokia, 1989. "A probability distribution associated with events with multiple occurrences," Statistics & Probability Letters, Elsevier, vol. 8(4), pages 389-395, September.
    2. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
    3. Haab, T. C., 2003. "Temporal correlation in recreation demand models with limited data," Journal of Environmental Economics and Management, Elsevier, vol. 45(2), pages 195-212, March.
    4. Panaretos, John & Xekalaki, Evdokia, 1986. "On Some Distributions Arising from Certain Generalized Sampling Schemes," MPRA Paper 6249, University Library of Munich, Germany.
    5. Debasis Kundu, 2020. "On a General Class of Discrete Bivariate Distributions," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 82(2), pages 270-304, November.
    6. José Rodríguez-Avi & Antonio Conde-Sánchez & Antonio Sáez-Castillo & María Olmo-Jiménez, 2004. "A triparametric discrete distribution with complex parameters," Statistical Papers, Springer, vol. 45(1), pages 81-95, January.
    7. Lin Zhang & Wolfgang Glänzel & Liming Liang, 2009. "Tracing the role of individual journals in a cross-citation network based on different indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 821-838, December.
    8. Kumar C. Satheesh, 2013. "The Bivariate Confluent Hypergeometric Series Distribution and Some of Its Properties," Stochastics and Quality Control, De Gruyter, vol. 28(1), pages 23-30, October.
    9. Wolfgang Glänzel, 2009. "The multi-dimensionality of journal impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 78(2), pages 355-374, February.
    10. Gupta, Arjun K. & Nguyen, Truc T. & Wang, Yinning & Wesolowski, Jacek, 2001. "Identifiability of Modified Power Series Mixtures via Posterior Means," Journal of Multivariate Analysis, Elsevier, vol. 77(2), pages 163-174, May.
    11. María Dolores Huete-Morales & Juan Antonio Marmolejo-Martín, 2020. "The Waring Distribution as a Low-Frequency Prediction Model: A Study of Organic Livestock Farms in Andalusia," Mathematics, MDPI, vol. 8(11), pages 1-11, November.
    12. Saras Sarasvathy & Anil Menon & Graciela Kuechle, 2013. "Failing firms and successful entrepreneurs: serial entrepreneurship as a temporal portfolio," Small Business Economics, Springer, vol. 40(2), pages 417-434, February.
    13. Panaretos, John, 1989. "Some Properties and Applications of the Stuttering Generalized Waring Distribution," MPRA Paper 6256, University Library of Munich, Germany.
    14. Valentina Cueva-López & María José Olmo-Jiménez & José Rodríguez-Avi, 2021. "An Over and Underdispersed Biparametric Extension of the Waring Distribution," Mathematics, MDPI, vol. 9(2), pages 1-15, January.
    15. Shi Shan & Guohua Jiang & Lan Jiang, 2004. "The multivariate Waring distribution and its application," Scientometrics, Springer;Akadémiai Kiadó, vol. 60(3), pages 523-535, August.

    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:jmvana:v:113:y:2013:i:c:p:2-6. 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: 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.