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A class of bivariate Poisson processes

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  • Griffiths, R. C.
  • Milne, R. K.
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    Abstract

    Tyan and Thomas (J. Multivariate Anal. 5 (1975), 227-235), have given a characterization of a class of bivariate distributions which yields, as a special case, a characterization of a class of bivariate Poisson distributions. In this paper we develop an analogous characterization of a class of bivariate Poisson processes and give some properties and examples of such processes.

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    File URL: http://www.sciencedirect.com/science/article/B6WK9-4CRM9D2-81/2/7ae6ea8a175e064f00fa9ae1b1ef9125
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 8 (1978)
    Issue (Month): 3 (September)
    Pages: 380-395

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    Handle: RePEc:eee:jmvana:v:8:y:1978:i:3:p:380-395

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    Related research

    Keywords: Bivariate Poisson process doubly stochastic Poisson process Poisson-Charlier polynomials probability generating functional;

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    Cited by:
    1. Antonio Lijoi & Bernardo Nipoti, 2013. "A class of hazard rate mixtures for combining survival data from different experiments," DEM Working Papers Series 059, University of Pavia, Department of Economics and Management.
    2. Antonio Lijoi & Bernardo Nipoti & Igor PrĂ¼nster, 2013. "Dependent mixture models: clustering and borrowing information," DEM Working Papers Series 046, University of Pavia, Department of Economics and Management.
    3. Lijoi, Antonio & Nipoti, Bernardo & PrĂ¼nster, Igor, 2014. "Dependent mixture models: Clustering and borrowing information," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 417-433.

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