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Identifiability of Modified Power Series Mixtures via Posterior Means

Author

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  • 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
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    References listed on IDEAS

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    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.
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    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.

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