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

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)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1983
Accession Number
ADA130453

Entities

People

  • T. Cacoullos

Organizations

  • National and Kapodistrian University of Athens

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Binomials
  • Data Science
  • Difference Equations
  • Differential Equations
  • Discrete Distribution
  • Equations
  • Information Science
  • Motor Vehicle Accidents
  • New York
  • Power Series
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistical Distributions
  • Statistics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Statistical inference.