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《Journal of Southwest University(Natural Science Edition)》 2019-01
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Conditions Based on Conditional Moments for p-Max Stable Laws Conditional Moment Characterization of Limit Distribution Under Power Normalization

PENG Xi;ZHOU Wei;PENG Zuo-xiang;School of Mathematics and Statistics,Southwest University;  
Let{X_n}be independent and identically distributed random variables with the common distribution function F(x).Necessary and sufficient conditions for F belonging to the domains of attraction of H_1,_α,H_2,_α,H_3,_α,H_4,_α,ψ(x)andФ(x)with nondegenerate univariate marginals under power normalization are derived in terms of conditional moments.
【Fund】: 国家自然科学基金项目(11701469);; 重庆市基础与前沿研究计划项目(csts2016jcyjA0510)
【CateGory Index】: O211.4
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