Abstract:
In this paper a number of known limit theorems for the classical allocation problem, including the local limit theorem, are generalized to a family of conditional distributions related to a random equiprobable allocation of particles into cells of two-dimensional tables.
Keywords:
random allocations, classical allocation problem, conditional distribution, two-dimensional table, Poisson law, normal distribution, local limit theorem, saddle-point method.
Citation:
B. I. Selivanov, “On a generalization of the classical allocation problem”, Teor. Veroyatnost. i Primenen., 43:2 (1998), 315–330; Theory Probab. Appl., 43:2 (1999), 256–268