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ADAPTIVE STOCHASTIC APPROXIMATION FOR MEASUREMENT WITH CORRELATED NOISE
引用本文:GAO Aijun (Institute of Mathematical Sciences,Chengdu Branch,Academia Sinica,Chengdu 610015,China)CHEN Hanfu(H.F.Chen) (Institute of Systems Science,Academia Sinica,Beijing 100080,China). ADAPTIVE STOCHASTIC APPROXIMATION FOR MEASUREMENT WITH CORRELATED NOISE[J]. 系统科学与复杂性, 1992, 0(3)
作者姓名:GAO Aijun (Institute of Mathematical Sciences  Chengdu Branch  Academia Sinica  Chengdu 610015  China)CHEN Hanfu(H.F.Chen) (Institute of Systems Science  Academia Sinica  Beijing 100080  China)
作者单位:GAO Aijun (Institute of Mathematical Sciences,Chengdu Branch,Academia Sinica,Chengdu 610015,China)CHEN Hanfu(H.F.Chen) (Institute of Systems Science,Academia Sinica,Beijing 100080,China)
基金项目:The work is supported by the National Natural Science Foundation of China and the TWAS RG No.MP 898-117
摘    要:A multidimensional adaptive stochastic approximation procedure trun-cated at randomly varying bounds is studied for the regression function observedwith correlated noise.The algorithm is proved to be asymptotically efficient.Theresult of the paper generalizes the one shown in[1]for the observation noise be-ing i.i.d.random vectors and under other restrictive conditions imposed on theregression function.


ADAPTIVE STOCHASTIC APPROXIMATION FOR MEASUREMENT WITH CORRELATED NOISE
GAO Aijun. ADAPTIVE STOCHASTIC APPROXIMATION FOR MEASUREMENT WITH CORRELATED NOISE[J]. Journal of Systems Science and Complexity, 1992, 0(3)
Authors:GAO Aijun
Abstract:A multidimensional adaptive stochastic approximation procedure trun-cated at randomly varying bounds is studied for the regression function observedwith correlated noise.The algorithm is proved to be asymptotically efficient.Theresult of the paper generalizes the one shown in[1]for the observation noise be-ing i.i.d.random vectors and under other restrictive conditions imposed on theregression function.
Keywords:Adaptive  stochastic approximation  recursive estimation
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