从受污染的相关观测中解卷积多元核密度估计

IEEE Trans. Inf. Theory Pub Date : 2003-11-01 DOI:10.1109/TIT.2003.818415

E. Masry

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引用次数: 21

摘要

我们考虑多元概率密度函数f(x/下标1/，…，x/下标p/) (x/下标1/，…，平稳正相关或负相关(PA或NA)随机过程的X/下标p/ {X/下标i/}/下标i=1//sup /spl infin//。考虑了普通平滑噪声和超平滑噪声。建立了二次均值和渐近正态性结果。

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Deconvolving multivariate kernel density estimates from contaminated associated observations

We consider the estimation of the multivariate probability density function f(x/sub 1/,...,x/sub p/) of X/sub 1/,...,X/sub p/ of a stationary positively or negatively associated (PA or NA) random process {X/sub i/}/sub i=1//sup /spl infin// from noisy observations. Both ordinary smooth and super smooth noise are considered. Quadratic mean and asymptotic normality results are established.

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IEEE Trans. Inf. Theory

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