Results 21 to 30 of about 47,749 (264)
Nonparametric Estimation of the Interval Reliability [PDF]
Journal of Statistical Theory and Applications (JSTA), 2014 The interval reliability of a repairable system is the probability that the system is operating at a specified time and will continue to operate for a specified interval of time.
Angel Mathew, N. Balakrishna
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Mathematics, 2023 For nonparametric regression estimation, conventional research all focus on isotropic regression function. In this paper, a linear wavelet estimator of anisotropic regression function is constructed, the rate of convergence of this estimator is discussed
Jia Chen, Junke Kou
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On Nonparametric Hazard Estimation [PDF]
Journal of Biometrics & Biostatistics, 2015 The Nelson-Aalen estimator provides the basis for the ubiquitous Kaplan-Meier estimator, and therefore is an essential tool for nonparametric survival analysis. This article reviews martingale theory and its role in demonstrating that the Nelson-Aalen estimator is uniformly consistent for estimating the cumulative hazard function for right-censored ...
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Journal 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
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The Annals of Mathematical Statistics, 1951 In the three papers, [1], [2], [3], entitled "Nonparametric estimation", Scheffe and Tukey generalized previous results on tolerance regions and extended them to cover all continuous and discontinuous distribution functions. This note contains four comments arising from these papers: first, on a method for giving bounds to the confidence level in the ...
Fraser, D. A. S., Wormleighton, R.
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Partition Learning for Multiagent Planning
Journal of Robotics, 2012 Automated surveillance of large geographic areas and target tracking by a team of autonomous agents is a topic that has received significant research and development effort. The standard approach is to decompose this problem into two steps.
Jared Wood, J. Karl Hedrick
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Stats, 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
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Estimation and Inference for Spatio-Temporal Single-Index Models
Mathematics, 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
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Finite-Sample Bounds on the Accuracy of Plug-In Estimators of Fisher Information
Entropy, 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
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Adaptive Estimation of Nonparametric Functionals
J. Mach. Learn. Res., 2016 We provide general adaptive upper bounds for estimating nonparametric functionals based on second order U-statistics arising from finite dimensional approximation of the infinite dimensional models. We then provide examples of functionals for which the theory produces rate optimally matching adaptive upper and lower bounds.
Lin Liu +3 more
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