skip to main content

SciTech ConnectSciTech Connect

Title: Symmetric generalized binomial distributions

In two recent articles, we have examined a generalization of the binomial distribution associated with a sequence of positive numbers, involving asymmetric expressions of probabilities that break the symmetry win-loss. We present in this article another generalization (always associated with a sequence of positive numbers) that preserves the symmetry win-loss. This approach is also based on generating functions and presents constraints of non-negativeness, similar to those encountered in our previous articles.
Authors:
 [1] ;  [2] ;  [3] ;  [2] ;  [4] ;  [2]
  1. Univ Paris-Sud, ISMO, UMR 8214, 91405 Orsay (France)
  2. Centro Brasileiro de Pesquisas Fisicas, Rua Xavier Sigaud 150 22290-180 - Rio de Janeiro (Brazil)
  3. (Brazil)
  4. (France)
Publication Date:
OSTI Identifier:
22251762
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ASYMMETRY; FUNCTIONS; LIMITING VALUES; LOSSES; PROBABILITY; SYMMETRY