On the generalized Poisson distribution
Copyright policy )On the generalized Poisson distribution
We use Euler's difference lemma to prove that, for θ > 0 and 0 ≤λ < 1, the function Pn defined on the non‐negative integers by P n (θ, λ) = [θ(θ + nλ)n−1/n!]e−nλ−θdefines a probability distribution, known as the Generalized Poisson Distribution.
- Schulich School of Business York University Canada
- York University Canada
Euler's difference lemma, Mathematics - Number Theory, Characterization and structure theory of statistical distributions, 62E15; 11A99, FOS: Mathematics, Mathematics - Statistics Theory, 62E15, Statistics Theory (math.ST), Number Theory (math.NT), 11A99
Euler's difference lemma, Mathematics - Number Theory, Characterization and structure theory of statistical distributions, 62E15; 11A99, FOS: Mathematics, Mathematics - Statistics Theory, 62E15, Statistics Theory (math.ST), Number Theory (math.NT), 11A99
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