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作者机构:School of EconomicsHefei University of TechnologyHefeiChina Department of Mathematics and StatisticsYork UniversityTorontoONCanada Department of MathematicsPortland State UniversityPortlandORUSA
出 版 物:《Communications in Mathematics and Statistics》 (数学与统计通讯(英文))
年 卷 期:2021年第9卷第2期
页 面:139-151页
核心收录:
学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题:Exponential signal model M-estimation Limiting distribution Recursive algorithm Consistency
摘 要:An M-estimation of the parameters in an undamped exponential signal model was proposed in Wu and Tam(IEEE Trans Signal Process 49(2):373–380,2001),and the estimation was shown to be consistent under mild *** this paper,the limiting distributions of the M-estimators are *** is shown that they are asymptotically normally distributed under similar conditions as assumed in Wu and Tam(IEEE Trans Signal Process 49(2):373–380,2001).In addition,a recursive algorithm for computing the M-estimators of frequencies is proposed,and the strong consistency of these estimators is *** Carlo simulation studies using Huber’sρfunction are also provided.