THE VALUE DISTRIBUTION OF RANDOM ANALYTIC DIRICHLET SERIES OF NEUTRAL GROWTH (Ⅱ)

作     者：丁晓庆 

作者机构：Department of Applied Mathematics The Nothwestern Polytechnical University Xi’an 710072 China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2000年第20卷第4期

页      面：504-510页

核心收录：

学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0714[理学-统计学（可授理学、经济学学位）] 0704[理学-天文学] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Project supported by the National Natural Science Foundationof China 

主　　题：Value distribution exceptional value random Dirichlet series independent random variab 

摘      要：This paper studies the value distribution of random analytic Dirichlet series f(s) = Zn()e-sn, where {Zn} is a sequence of independent random variables, n = 1 with moments zero, such that infE{Zn}/E1/2{Zn2≥ α 0. Suppose [h*(σ)]2 = n converges for any α 0, and diverges for = 0. It is shown that if = ρ E (0, ), then with probability one, where β is a constant depending only upon the constant α.