Accession Number:

ADA461905

Title:

Large Deviation Principle for Occupancy Problems With Colored Balls

Descriptive Note:

Corporate Author:

BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS

Report Date:

2003-06-06

Pagination or Media Count:

33.0

Abstract:

A Large Deviations Principle LDP, demonstrated for occupancy problems with indistinguishable balls, is generalized to the case in which balls may be distinguished by a finite number of colors. The colors of the balls are chosen independently from the occupancy process itself. There are r balls thrown into n urns with the probability of a ball entering a given urn being 1n Maxwell-Boltzman statistics. The LDP applies with the scale parameter n going to infinity and the number of balls increasing proportionally. It holds under mild restrictions, the key one being that the coloring process by itself satisfies a LDP. Hence the results include the important special cases of deterministic coloring patterns and of colors chosen with fixed probabilities independently for each ball.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE