Accession Number : ADA130453

Title :   Occupancy Models, Bell-Type Polynomials and Numbers and Applications to Probability.

Descriptive Note : Final technical rept.,

Corporate Author : ATHENS UNIV (GREECE) STATISTICAL UNIT

Personal Author(s) : Cacoullos,T

PDF Url : ADA130453

Report Date : Jun 1983

Pagination or Media Count : 68

Abstract : Multipartitional extensions of Bell (unpartitional) polynomials are shown to be a natural and strong tool in the study of multivariate compound discrete distributions through their generating functions. Modifications of exponential polynomials simplify proofs in fluctuation theory, whereas asymptotic properties of such polynomials are used to establish the asymptotic normality of a wide class of combinatorial distributions, including Stirling and C-numbers. Extensions of these numbers, the non-central Stirling numbers and the multi-parameter Stirling and C-numbers are studied in conjunction with distributional, estimation and characterization problems related to compound distributions. Combinatorial and occupancy-model aspects are also discussed. Diagnostic tests in data analysis are pointed out. (Author)

Descriptors :   *Mathematical models, *Polynomials, *Probability, Distribution functions, Asymptotic normality, Combinatorial analysis, Variations, Multivariate analysis, Numbers, Regression analysis, Exponential functions, Modification

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE