报告题目:An asymptotic distribution theory for Eulerian recurrences with applications
摘要:A class of recurrences of Eulerian type is examined from the viewpoint of asymptotic distribution of the coefficients. We characterize various limit laws of the coefficients using the method of moments and analytic combinatorial tools under general conditions , and apply our results to more than five hundred of concrete examples that we collected from the literature and from Sloanes OEIS. The limit laws we worked out include normal, half-normal, Rayleigh, beta, Poisson, negative binomial, Mittag-Leffler, Bernoulli, etc., showing the richness and diversity of such a simple framework.
报告人:H.K. Hwang黄显贵 (Institute of Statistical Science, Academia Sinica台湾中央研究院)
报告时间:2018年5月25号上午10:10—11:10
报告地点:威廉希尔中文网站专家接待室