A zero-inflated occupancy distribution: Exact results and Poisson convergence.
Kolev, Nikolai, Mutafchiev, Ljuben (2003)
International Journal of Mathematics and Mathematical Sciences
Michał Karoński, Zbigniew Palka (1981)
Mathematica Slovaca
Leonard Gallagher (1980)
Fundamenta Mathematicae
Wästlund, Johan (2009)
Electronic Communications in Probability [electronic only]
P. Erdös, J. Neveu, A. Renyi (1963)
Mathematica Scandinavica
Jürg Rätz, Dennis Russell (1987)
Aequationes mathematicae
Lengyel, Tamás (2007)
Integers
Saleh M. Mitwalli (2002)
Mathematica Slovaca
Bajaj, Prem N., Mendieta, G.R. (1993)
International Journal of Mathematics and Mathematical Sciences
Javier Cilleruelo, Gérald Tenenbaum (2007)
Publicacions Matemàtiques
We establish a general and optimal lower bound for the complete sum of the probabilities of k-intersections of n events. We then describe various applications to additive and multiplicative number theory, graph theory, coding theory, study of lattice points on circles, and divisors of polynomials.[Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)].
Persi Diaconis (2005)
Annales de l'I.H.P. Probabilités et statistiques
Janson, Svante, Szpankowski, Wojiech (1997)
The Electronic Journal of Combinatorics [electronic only]
R. Altschul (1972)
Mathematica Scandinavica
Luczak, Malwina J., McDiarmid, Colin (2007)
Electronic Journal of Probability [electronic only]
Evans, Steven Neil, Lidman, Tye (2007)
Electronic Journal of Probability [electronic only]
Boris L. Granovsky (2013)
ESAIM: Probability and Statistics
We establish necessary and sufficient conditions for the convergence (in the sense of finite dimensional distributions) of multiplicative measures on the set of partitions. The multiplicative measures depict distributions of component spectra of random structures and also the equilibria of classic models of statistical mechanics and stochastic processes of coagulation-fragmentation. We show that the convergence of multiplicative measures is equivalent to the asymptotic independence of counts of...
Bender, Edward A., Helton, William J., Richmond, L.Bruce (2003)
The Electronic Journal of Combinatorics [electronic only]
Basdevant, Anne-Laure, Goldschmidt, Christina (2008)
Electronic Journal of Probability [electronic only]
Cator, Eric, Dobrynin, Sergei (2006)
Electronic Journal of Probability [electronic only]
Rawlings, Don (1992)
International Journal of Mathematics and Mathematical Sciences