Stochastic models for spread of motivating information
作者:
Menachem Berg,
期刊:
Naval Research Logistics Quarterly
(WILEY Available online 1981)
卷期:
Volume 28,
issue 1
页码: 133-145
ISSN:0028-1441
年代: 1981
DOI:10.1002/nav.3800280110
出版商: Wiley Subscription Services, Inc., A Wiley Company
数据来源: WILEY
摘要:
AbstractIn this work we consider spread of information which motivates the hearer to perform some specified action. The time to completion of an action is assumed to be a random variable and the main focus is on the number of completed actions by timet, X(t). Some models, which reflect different degree of centralization in the spread process, are analyzed and the distribution ofX(t), as well as that of some other stochastic processes of interest, are obtained. The relevance to propagation of epidemics is pointed out.All models are solved by employing two interrelated concepts, namely, the order statistics property of stochastic processes and the binomial closure property of collections of distributions. In this respect, the work also serves as an illustration of the application of these useful concepts.
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