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On a Functional Equation for the Generating Function of the Logarithmic Series Distribution


  • Panaretos, John


This note deals with finding the solution of a functional equation, where the function involved has the additional property of being a probability generating function. It turns out that the unique solution of this particular functional equation is the probability generating function of the logarithmic series distribution

Suggested Citation

  • Panaretos, John, 1987. "On a Functional Equation for the Generating Function of the Logarithmic Series Distribution," MPRA Paper 6251, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:6251

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    References listed on IDEAS

    1. Panaretos, John & Xekalaki, Evdokia, 1986. "On Generalized Binomial and Multinomial Distributions and Their Relation to Generalized Poisson Distributions," MPRA Paper 6248, University Library of Munich, Germany.
    2. Panaretos, John, 1983. "A Generating Model Involving Pascal and Logarithmic Series Distributions," MPRA Paper 6246, University Library of Munich, Germany.
    3. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
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    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General


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