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• W156794704 abstract "Stochastic differential equations are rapidly becoming the most popular format in which to express the mathematical models of such diverse areas as neural networks, ecosystem dynamics, population genetics, and macroeconomic systems. It seems only a question of time before the social sciences begin to rephrase their dynamic models in these terms, and indeed, in some isolated cases the process has already begun. This paper is designed to introduce social scientists to the fundamental concepts and uses of stochastic differential equations, as applied to several models of current interest: linear feedback, epidemics, and the cusp catastrophe. The approach taken here is to focus on the stationary probability density function of the model, which avoids most of the advanced mathematical techniques that are ordinarily required to describe the solutions of the equations. Further, it will be seen that this approach yields new statistical insights into the process under study, and in some cases even new descriptive statistics." @default.
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• W156794704 date "1998-01-01" @default.
• W156794704 modified "2023-09-26" @default.
• W156794704 title "Stochastic Differential Equations for the Social Sciences" @default.
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