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Abstract

The problem of identification of uniform mixtures via posterior means is studied. For linear posterior means a complete solution is given. It determines a family of prior distributions involving beta of both kinds and gamma. Identifiability via any consistent posterior mean is also investigated.

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REFERENCES

  • Arnold, B. C., Castillo, E. and Sarabia, J. M. (1993). Conditionally specified models: Structure and inference, Multivariate Analysis: Future Directions 2 (eds. C. M. Cuadras and C. R. Rao), 441–450, Elsevier, Amsterdam.

    Google Scholar 

  • Barndorff-Nielsen, O. (1965). Identifiability of mixtures of exponential families, J. Math. Anal. Appl., 12, 115–121.

    Google Scholar 

  • Cacoullos, T. and Papageorgiou, H. (1983). Characterizations of discrete distributions by a conditional distribution and a regression function, Ann. Inst. Statist. Math., 35, 95–103.

    Google Scholar 

  • Cacoullos, T. and Papageorgiou, H. (1984). Characterizations of mixtures of continuous distributions by their posterior means, Scand. Actuar. J., 8, 23–30.

    Google Scholar 

  • Korwar, R. M. (1975). On characterizing some discrete distributions by linear regression, Comm. Statist., 4, 1133–1147.

    Google Scholar 

  • Korwar, R. M. (1977). On characterizing Lagrangian-Poisson and quasi-binomial distributions, Comm. Statist., 6, 1409–1416.

    Google Scholar 

  • Kotz, S. and Steutel, F. W. (1988). Note on a characterization of exponential distributions, Statist. Probab. Lett., 6, 201–203.

    Google Scholar 

  • Krishnaji, N. (1974). Characterization of some discrete distributions based on a damage model, Sankhyā, Ser. A, 36, 204–213.

    Google Scholar 

  • Mathai, M. A. and Moschopoulos, P. G. (1992). A form of multivariate gamma distribution, Ann. Inst. Statist. Math., 44, 97–106.

    Google Scholar 

  • Papageorgiou, H. (1984a). Characterizations of multinomial and negative multinomial mixtures by regression, Austral. J. Statist., 26, 25–29.

    Google Scholar 

  • Papageorgiou, H. (1984b). Characterizations of continuous binomial and negative binomial mixtures, Biometrical J., 26, 795–798.

    Google Scholar 

  • Papageorgiou, H. (1985). On characterizing some discrete distributions by a conditional distribution and a regression function, Biometrical J., 27, 473–479.

    Google Scholar 

  • Patil, G. P. and Bildikar, S. (1966). Identifiability of countable mixtures of discrete probability distributions using methods of infinite matrices, Proceedings of the Cambridge Philosophical Society, 62, 485–494.

    Google Scholar 

  • Teicher, H. (1961). Identifiability of mixtures, Ann. Math. Statist., 32, 244–248.

    Google Scholar 

  • Wesolowski, J. (1994). Bivariate distributions via a second kind beta conditional distribution and a regression function, Journal of Mathematical Sciences (to appear).

  • Wesolowski, J. (1995a). Bivariate distributions via a Pareto conditional distribution and a regression function, Ann. Inst. Statist. Math., 47, 177–183.

    Google Scholar 

  • Wesolowski, J. (1995b). Bivariate discrete measures via power series conditional distribution and a regression function, J. Multivariate Anal., 55, 219–229.

    Google Scholar 

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Gupta, A.K., Wesolowski, J. Uniform Mixtures Via Posterior Means. Annals of the Institute of Statistical Mathematics 49, 171–180 (1997). https://doi.org/10.1023/A:1003175024895

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