Dynamic binomials with an application to gender bias analysis. (March 2016)

• Record Type: Journal Article
• Authors: Ferreira, Eva; Stute, Winfried
• Is Part Of: Journal of applied probability. Volume 53:Number 1(2016)
• Page Start: 82
• Page End: 90
• Publication Date: 2016-03
• Subjects: Dynamic binomials, -- policy function, -- fixed point, -- stationary limit; Primary 60J10, -- Secondary 91D10, -- 60E10; 519.2
• DOI: 10.1017/jpr.2015.10
• Languages: English
• ISSNs: 0021-9002

Abstract

Abstract: We analyze the dynamics of a stochastic process driven by binomial random variables, where the probability of success depends on the past realization. We study the limit behavior when the group size is fixed but the number of iterations increases. It will become apparent that the so-called policy function and its fixed point play an outstanding role. Some applications to a statistical analysis of gender bias are also briefly discussed.