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- W1844284598 abstract "In this paper, under natural and easily verifiable conditions, we prove the $mathbb{L}^1$-convergence and the asymptotic normality of the Parzen-Rosenblatt density estimator for stationary random fields of the form $X_k = gleft(varepsilon_{k-s}, s in Z^d right)$, $kinZ^d$, where $(varepsilon_i)_{iinZ^d}$ are i.i.d real random variables and $g$ is a measurable function defined on $R^{Z^d}$. Such kind of processes provides a general framework for stationary ergodic random fields. A Berry-Esseen's type central limit theorem is also given for the considered estimator." @default.
- W1844284598 created "2016-06-24" @default.
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- W1844284598 date "2014-04-30" @default.
- W1844284598 modified "2023-09-25" @default.
- W1844284598 title "Kernel density estimation for stationary random fields" @default.
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