An asymptotic distribution theory for Eulerian recurrences-大连理工大学数学科学学院(新)

An asymptotic distribution theory for Eulerian recurrences

2017年11月17日 08:46  点击:[]


报告题目:An asymptotic distribution theory for Eulerian recurrences

报告人:黃顯貴 特聘研究员      台湾中央研究院统计科学研究所

报告时间:20171117日(星期五)下午 13:30 -14:30

报告地点:创新园大厦 A1101

报告校内联系人:王毅  教授     联系电话84708351-8128

报告摘要: We discuss linear recurrences of Eulerian type of the form         with     given, where          and      are in most cases polynomials of low degree. We characterize the various limit laws of the coefficients of      for large      using the method of moments and analytic combinatorial tools under varying          and     . We apply our results to more than two hundreds of concrete examples that we collected from the literature and from Sloane's Online Encyclopedia of Integer Sequences. Not only most of the limit results are new, but they are unified in the same framework. 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 recurrence scheme, as well as the generality and power of the approaches used.





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