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.
Citation
Eva Ferreira. Winfried Stute. "Dynamic binomials with an application to gender bias analysis." J. Appl. Probab. 53 (1) 82 - 90, March 2016.
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