A non-linear explicit filter

被引:11
作者
Genon-Catalot, V [1 ]
机构
[1] Univ Paris 05, UFR Math & Informat, F-75270 Paris 06, France
关键词
filtering; discrete time observations; hidden Markov models; prior and posterior distributions;
D O I
10.1016/S0167-7152(02)00344-9
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We propose a non-linear model of filtering in discrete time. The signal is linear but noises are multiplicative and non-Gaussian. We exhibit a class of distributions including the standard centered Gaussian which is closed for the filtering algorithm. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:145 / 154
页数:10
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