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Convex Optimization in R

open access: yesJournal of Statistical Software, 2014
Convex optimization now plays an essential role in many facets of statistics. We briefly survey some recent developments and describe some implementations of these methods in R .
Roger Koenker, Ivan Mizera
doaj   +1 more source

Multi-Step-Ahead Prediction Intervals for Nonparametric Autoregressions via Bootstrap: Consistency, Debiasing, and Pertinence

open access: yesStats, 2023
To address the difficult problem of the multi-step-ahead prediction of nonparametric autoregressions, we consider a forward bootstrap approach. Employing a local constant estimator, we can analyze a general type of nonparametric time-series model and ...
Dimitris N. Politis, Kejin Wu
doaj   +1 more source

Bayesian nonparametric subspace estimation [PDF]

open access: yes2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2017
Principal component analysis is a widely used technique to perform dimension reduction. However, selecting a finite number of significant components is essential and remains a crucial issue. Only few attempts have proposed a probabilistic approach to adaptively select this number. This paper introduces a Bayesian nonparametric model to jointly estimate
Elvira, Clément   +2 more
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Estimation and Inference for Spatio-Temporal Single-Index Models

open access: yesMathematics, 2023
To better fit the actual data, this paper will consider both spatio-temporal correlation and heterogeneity to build the model. In order to overcome the “curse of dimensionality” problem in the nonparametric method, we improve the estimation method of the
Hongxia Wang   +3 more
doaj   +1 more source

Nonparametric Range-Based Double Smoothing Spot Volatility Estimation for Diffusion Models

open access: yesComplexity, 2020
We consider nonparametric spot volatility estimation for diffusion models with discrete high frequency observations. Our estimator is carried out in two steps.
Jingwei Cai
doaj   +1 more source

Finite-Sample Bounds on the Accuracy of Plug-In Estimators of Fisher Information

open access: yesEntropy, 2021
Finite-sample bounds on the accuracy of Bhattacharya’s plug-in estimator for Fisher information are derived. These bounds are further improved by introducing a clipping step that allows for better control over the score function.
Wei Cao   +3 more
doaj   +1 more source

An Assessment of Hermite Function Based Approximations of Mutual Information Applied to Independent Component Analysis

open access: yesEntropy, 2008
At the heart of many ICA techniques is a nonparametric estimate of an information measure, usually via nonparametric density estimation, for example, kernel density estimation.
Julian Sorensen
doaj   +1 more source

Adaptive Reduction of Curse of Dimensionality in Nonparametric Instrumental Variable Estimation

open access: yesMathematics
Nonparametric estimation of instrumental variable treatment effects typically builds on various nonparametric identification results. However, these estimators often face challenges from the curse of dimensionality in practice, as multi-dimensional ...
Ming-Yueh Huang, Kwun Chuen Gary Chan
doaj   +1 more source

Wind power interval prediction based on hybrid semi-cloud model and nonparametric kernel density estimation

open access: yesEnergy Reports, 2022
In today’s increasingly serious world energy crisis, Renewable energy such as wind energy has gradually penetrated into life. Aiming at the uncertainty of wind power and the need of a mass of sample data in nonparametric kernel density estimation, a wind
Kai Zhang   +6 more
doaj   +1 more source

Semi-Nonparametric Maximum Likelihood Estimation [PDF]

open access: yesEconometrica, 1987
The density of Hermite forms: \[ h(u)=P^ 2_ k(u-\tau)\Phi^ 2(u| \tau,diag(\gamma)) \] where \(P_ k\) is a polynomial of degree K and \(\Phi\) is the density function of the multivariate normal distribution is shown to be capable of approximating any density arbitrarily closely subject to minimal qualifications relating to compactness, denseness ...
Gallant, A Ronald, Nychka, Douglas W
openaire   +1 more source

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