A Note on Convergence of Differential Entropies

摘要：

A conjecture on the convergence of differential entropy is discussed,and we also give a rigorous proof of the proposition:Let fn(x)∞n=1 be a sequence of density functions and f(x) be a density function,and limn→∞ fn(x) = f(x),x ∈ R.If there exist positive constants A.B such that for all n,A ≤ fn(x) ≤ B.t∈ Sfn.then limn→∞H(fn) = H(f).Where Sfn is the support of fn(x).

作者: Wanzhou Ye Chengfeng Yu

作者单位: Department of Mathematics Shanghai University Shanghai,China

会议类型: 国际会议

会议名称: 2011 3rd International Conference on Computer and Network Technology(ICCNT 2011)(2011第三届IEEE计算机与网络技术国际会议)

会议地点: 太原

会议语种:英文

页码: 30-31

在线出版日期: 2011-02-26（万方平台首次上网日期，不代表论文的发表时间）