Combinatorial Methods in Discrete Distributions

By C. Charalambides. 2005

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Explicit formulas for p-adic integrals: approach to p-adic distributions and some families of special numbers and polynomials. (2019, unknown): “[14], [15], [18], [47], [30], [92], [97], [137]).”
A Unifying Statistical Model for Atmospheric Optical Scintillation (2011, background): “(Charalambides, 2005)) involving a resized irradiance variable, I (cid:5) , in the form: f I (cid:5) ( I (cid:5) ) = ∑ k ω k · f GG ( I (cid:5) ) , being the mixed distribution, f GG ( I (cid:5) ) , a gamma-gamma pdf whereas the weight function, ω k , satisﬁes that (cid:27) ∞ (cid:27) ∞ (cid:27) ∞”
Bayesian non‐parametric inference for species variety with a two‐parameter Poisson–Dirichlet process prior (2009, methodology): “See Charalambides (2005) for a detailed account on generalized factorial coefficients.”
Bayesian Nonparametric Estimation of the Probability of Discovering New Species (2007, methodology): “Here we provide exact definitions for them and formulae for their evaluation; for further details and pointers to the literature, see Singh & Charalambides (1988) and Charalambides (2005).”