Special Characterizations of Standard Discrete Models

Authors

  • Carlos Alberto de Bragança Pereira University of São Paulo
  • Julio Michael Stern University of São Paulo

DOI:

https://doi.org/10.57805/revstat.v6i3.65

Keywords:

characterization of discrete distribution, conjugate densities, singular representations

Abstract

This article presents important properties of standard discrete distributions and its conjugate densities. The Bernoulli and Poisson processes are described as generators of such discrete models. A characterization of distributions by mixtures is also introduced. This article adopts a novel singular notation and representation. Singular representations are unusual in statistical texts. Nevertheless, the singular notation makes it simpler to extend and generalize theoretical results and greatly facilitates numerical and computational implementation.

Published

2008-12-02

How to Cite

de Bragança Pereira , C. A., & Stern , J. M. (2008). Special Characterizations of Standard Discrete Models. REVSTAT-Statistical Journal, 6(3), 199–230. https://doi.org/10.57805/revstat.v6i3.65

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