IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/6253.html
   My bibliography  Save this paper

A Probability Distribution Associated With Events With Multiple Occurrences

Author

Listed:
  • Panaretos, John
  • Xekalaki, Evdokia

Abstract

The paper discusses extensions of the well-known hypergeometric and negative hypergeometric distributions for describing data with multiple counts. The derivation of these extensions is based on certain urn schemes that allow for sampling clusters of items rather than individual items. The obtained distributions are then examined with respect to their properties, interrelations as well as relations to other existing distributions

Suggested Citation

  • Panaretos, John & Xekalaki, Evdokia, 1989. "A Probability Distribution Associated With Events With Multiple Occurrences," MPRA Paper 6253, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:6253
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/6253/1/MPRA_paper_6253.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
    2. Panaretos, John & Xekalaki, Evdokia, 1986. "On Generalized Binomial and Multinomial Distributions and Their Relation to Generalized Poisson Distributions," MPRA Paper 6248, University Library of Munich, Germany.
    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. Anant Godbole & Stavros Papastavridis & Robert Weishaar, 1997. "Formulae and Recursions for the Joint Distribution of Success Runs of Several Lengths," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(1), pages 141-153, 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.
    1. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
    2. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
    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. 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.
    6. Panaretos, John, 1989. "Some Properties and Applications of the Stuttering Generalized Waring Distribution," MPRA Paper 6256, University Library of Munich, Germany.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Wolfgang Glänzel, 2009. "The multi-dimensionality of journal impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 78(2), pages 355-374, February.
    12. 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.
    13. 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.
    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.

    More about this item

    Keywords

    Cluster hypergeometric distribution; Cluster negative hypergeometric distribution; Cluster binomial distribution; Cluster Polya distribution;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General

    Statistics

    Access and download statistics

    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:pra:mprapa:6253. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.