Results 271 to 280 of about 23,658 (304)
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On nonparametric local inference for density estimation
Computational Statistics & Data Analysis, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ngai Hang Chan +2 more
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A Fast Algorithm for Nonparametric Probability Density Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982A fast algorithm for the well-known Parzen window method to estimate density functions from the samples is described. The computational efforts required by the conventional and straightforward implementation of this estimation procedure limit its practical application to data of low dimensionality.
Jack-Gérard Postaire, Christian Vasseur
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Nonparametric Density Estimation
1996In the linear model y = x′β + u where x is a regressor vector and E(u | x)= 0, we estimate β in E(y | x)= x′β However, the assumption of the linear model, or any nonlinear model for that matter, is a strong one. In nonparametric regression, we try to estimate E(y | x) without specifying the functional form. Since $$E(y{\kern 1pt} |{\kern 1pt} x) = \
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Efficient On-Line Nonparametric Kernel Density Estimation
Algorithmica, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christophe G. Lambert +3 more
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Nonparametric Density Estimation
2013Nonparametric techniques consist of sophisticated alternatives to traditional parametric models for studying multivariate data. What makes these alternative techniques so appealing to the data analyst is that they make no specific distributional assumptions and, thus, can be employed as an initial exploratory look at the data.
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Nonparametric Density Estimation by B-spline Duality
SSRN Electronic Journal, 2019In this article, we propose a new nonparametric density estimator derived from the theory of frames and Riesz bases. In particular, we propose the so-called bi-orthogonal density estimator based on the class of B-splines and derive its theoretical properties, including the asymptotically optimal choice of bandwidth.
Cui, Zhenyu +2 more
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On nonparametric estimation of a functional of a probability density
IEEE Transactions on Information Theory, 1986Let \(\{h_ k\}\) be the Hermite orthonormal system over the real line, and let \(X_ 1,...,X_ n\) be i.i.d. with density f. Parseval's identity suggests the following estimate \(\hat I\) of \(I=\int f^ 2(x)dx:\) \[ \hat I=\sum^{N(n)}_{k=0}[\frac{1}{n(n-1)}\sum_{i\neq j}h_ k(X_ i)h_ k(X_ j)].
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Nonparametric Estimation of a Density of Unknown Smoothness
Theory of Probability & Its Applications, 1986Translation from Teor. Veroyatn. Primen. 30, No.3, 524-534 (Russian) (1985; Zbl 0581.62035).
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Oversmoothed Nonparametric Density Estimates
Journal of the American Statistical Association, 1985Abstract The optimal histogram for a sample of size n from a density defined on the entire real line requires at least (2n)1/3 bins, under mild smoothness conditions. Similar bounds exist for the frequency polygon and kernel estimators. Values near these bounds give nearly optimal results for a variety of smooth densities, providing good, quick density
George R. Terrell, David W. Scott
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Nonparametric Density Estimation - A Numerical Exploration
2022 Winter Simulation Conference (WSC), 2022Paul F. Evangelista, Vikram Mittal
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