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- W62389518 abstract "where ω > 0, δ > 0, r > 0. In order to expose the connections between Poisson and Negative-Binomial, we introduce a redundant parameter μ = rδ. The Negative Binomial with parameters (r, ωμ, ωδ) reduces to a Poisson with parameter (ωμ) as r → ∞ and δ → 0, for a fixed μ. The Negative-Binomial with parameters (r, ωμ, ωδ) has mean = ωμ, and variance = μ δ ωδ(1 + ωδ) = ωμ(1 + ωδ), that is, the same mean as the corresponding Poisson, reduced limit of the Negative-Binomial, with an extra variability factor, (1 + ωδ). Thus the parameter δ is referred to as the extra-Poissonness parameter." @default.
- W62389518 created "2016-06-24" @default.
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- W62389518 date "2005-01-01" @default.
- W62389518 modified "2023-09-27" @default.
- W62389518 title "Notes on the Negative Binomial distribution for word occurrences" @default.
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