Modified binomial and Poisson distributions with applications in random mapping theory
type: Item
instance of: scholarly article
title: Modified binomial and Poisson distributions with applications in random mapping theory
zbMATH Open document ID: 0656.62020
DOI: 10.1016/0378-3758(88)90108-5
author: Sven Berg
author: Jerzy Jaworski
published in: Journal of Statistical Planning and Inference
publication date: 1988-01-01T00:00:00Z
review text: Random mapping theory gives rise to interesting discrete probability distributions. Here we focus on binomial- and Poisson-type distributions, useful for describing simple characteristics of random mappings. Properties of these distributions are discussed. For a particular random mapping suggested by the second author [Graphs and other combinatorial topics, Proc. 3rd Czech. Symp., Prague 1982, Teubner-Texte Math. 59 (1983; Zbl 0523.05057)], we consider inference problems for a key model parameter. Random mapping models have been proposed as models of social and biological diffusion phenomena. Therefore, it is important to develop statistical tools for testing and evaluating these models.
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 05C80
zbMATH DE Number: 4072119
zbMATH Keywords: Poisson-type distributions
zbMATH Keywords: random mappings
zbMATH Keywords: inference problems
MaRDI profile type: Publication
full work available at URL: 0378-3758(88)90108-5
OpenAlex ID: W2005934399
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description: scientific article; zbMATH DE number 4072119