IDEAS home Printed from https://ideas.repec.org/a/eee/jmvana/v77y2001i2p163-174.html
   My bibliography  Save this article

Identifiability of Modified Power Series Mixtures via Posterior Means

Author

Listed:
  • Gupta, Arjun K.
  • Nguyen, Truc T.
  • Wang, Yinning
  • Wesolowski, Jacek

Abstract

Problems of specification of discrete bivariate statistical models by a modified power series conditional distribution and a regression function are studied. An identifiability result for a wide class of such mixtures with infinite support is obtained. Also the finite support case within a more specific model is considered. Applications for Poisson, (truncated) geometric, and binomial mixtures are given. From the viewpoint of Bayesian analysis unique determination of the prior by a Bayes estimate of the mean for modified power series mixtures is investigated.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:jmvana:v:77:y:2001:i:2:p:163-174
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0047-259X(00)91932-8
    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. Arjun Gupta & Jacek Wesoŀowski, 1999. "Discrete uniform mixtures via posterior means," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 8(2), pages 399-409, December.
    2. Theofanis Sapatinas, 1995. "Identifiability of mixtures of power-series distributions and related characterizations," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 47(3), pages 447-459, September.
    3. Wesolowski, J., 1995. "Bivariate Discrete Measures via a Power Series Conditional Distribution and a Regression," Journal of Multivariate Analysis, Elsevier, vol. 55(2), pages 219-229, November.
    4. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
    5. Papageorgiou, H. & Wesolowski, Jacek, 1997. "Posterior mean identifies the prior distribution in nb and related models," Statistics & Probability Letters, Elsevier, vol. 36(2), pages 127-134, December.
    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. Becker, Niels G. & Utev, Sergey, 2002. "Multivariate Discrete Distributions with a Product-Type Dependence," Journal of Multivariate Analysis, Elsevier, vol. 83(2), pages 509-524, 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. Gupta Arjun K. & Wesolowski Jacek, 2001. "Regressional Identifiability And Identification For Beta Mixtures," Statistics & Risk Modeling, De Gruyter, vol. 19(1), pages 71-82, January.
    2. Becker, Niels G. & Utev, Sergey, 2002. "Multivariate Discrete Distributions with a Product-Type Dependence," Journal of Multivariate Analysis, Elsevier, vol. 83(2), pages 509-524, November.
    3. repec:cte:wsrepe:9857 is not listed on IDEAS
    4. 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.
    5. Burda, Martin & Harding, Matthew & Hausman, Jerry, 2012. "A Poisson mixture model of discrete choice," Journal of Econometrics, Elsevier, vol. 166(2), pages 184-203.
    6. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
    7. 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.
    8. Panaretos, John & Xekalaki, Evdokia, 1986. "On Some Distributions Arising from Certain Generalized Sampling Schemes," MPRA Paper 6249, University Library of Munich, Germany.
    9. Ghosh, Indranil, 2023. "On the issue of convergence of certain divergence measures related to finding most nearly compatible probability distribution under the discrete set-up," Statistics & Probability Letters, Elsevier, vol. 203(C).
    10. Dimitri Karlis & Valentin Patilea, 2004. "Bootstrap Confidence Intervals in Mixtures of Discrete Distributions," Working Papers 2004-06, Center for Research in Economics and Statistics.
    11. Tin Lok James Ng & Thomas Brendan Murphy, 2021. "Model-based Clustering of Count Processes," Journal of Classification, Springer;The Classification Society, vol. 38(2), pages 188-211, July.
    12. Arjun Gupta & Jacek Wesoŀowski, 1999. "Discrete uniform mixtures via posterior means," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 8(2), pages 399-409, December.
    13. Panaretos, John, 1989. "Some Properties and Applications of the Stuttering Generalized Waring Distribution," MPRA Paper 6256, University Library of Munich, Germany.
    14. 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.
    15. Jordan Stoyanov & Gwo Lin, 2011. "Mixtures of power series distributions: identifiability via uniqueness in problems of moments," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 63(2), pages 291-303, April.
    16. 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.
    17. 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.
    18. Indranil Ghosh & N. Balakrishnan, 2023. "On Compatibility/Incompatibility of Two Discrete Probability Distributions in the Presence of Incomplete Specification," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 274-291, February.
    19. 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.
    20. Wolfgang Glänzel, 2009. "The multi-dimensionality of journal impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 78(2), pages 355-374, February.
    21. Arnold, Barry C. & Castillo, Enrique & Sarabia, Jose Maria, 2002. "Exact and near compatibility of discrete conditional distributions," Computational Statistics & Data Analysis, Elsevier, vol. 40(2), pages 231-252, 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:77:y:2001:i:2:p:163-174. 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.