Results 11 to 20 of about 8,530 (262)

Asymptotic Normality for Plug-In Estimators of Generalized Shannon’s Entropy [PDF]

open access: yesEntropy, 2022
Shannon’s entropy is one of the building blocks of information theory and an essential aspect of Machine Learning (ML) methods (e.g., Random Forests).
Jialin Zhang, Jingyi Shi
doaj   +2 more sources

Asymptotic Normality of Quadratic Estimators. [PDF]

open access: yesStoch Process Their Appl, 2016
We prove conditional asymptotic normality of a class of quadratic U-statistics that are dominated by their degenerate second order part and have kernels that change with the number of observations. These statistics arise in the construction of estimators in high-dimensional semi- and non-parametric models, and in the construction of nonparametric ...
Robins J   +3 more
europepmc   +5 more sources

The asymptotic normality of internal estimator for nonparametric regression [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we aim to study the asymptotic properties of internal estimator of nonparametric regression with independent and dependent data. Under some weak conditions, we present some results on asymptotic normality of the estimator.
Penghua Li, Xiaoqin Li, Liping Chen
doaj   +2 more sources

Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In the present article, by utilizing some inequalities for linearly negative quadrant dependent random variables, we discuss the uniformly asymptotic normality of sample quantiles for linearly negative quadrant dependent samples under mild conditions ...
Xueping Hu   +3 more
doaj   +2 more sources

Asymptotic Behavior of a Nonparametric Estimator of the Renewal Function for Random Fields

open access: yesMathematics, 2023
In this paper, we study the asymptotic normality of a nonparametric estimator of the renewal function associated with a sequence of absolutely continuous nonnegative two-dimensional random fields.
Livasoa Andriamampionona   +2 more
doaj   +1 more source

Estimation of quantile regression model without longitudinal data and with auxiliary information

open access: yesXi'an Gongcheng Daxue xuebao, 2021
In order to study the estimation of the quantile regression model with missing longitudinal data and auxiliary information, the parameter estimation and asymptotic normality of linear quantile regression model are given by using inverse probability ...
Yuting ZHANG   +2 more
doaj   +1 more source

Local asymptotic normality of statistical models of discrete martingales

open access: yesLietuvos Matematikos Rinkinys, 2023
We establish general conditions assuring the local asymptotic normality of statistical experiments of discrete or purely discontinuous local martingales obtained models of point processes of all types were found out.
Vaidotas Kanišauskas
doaj   +3 more sources

Asymptotics of Subsampling for Generalized Linear Regression Models under Unbounded Design

open access: yesEntropy, 2022
The optimal subsampling is an statistical methodology for generalized linear models (GLMs) to make inference quickly about parameter estimation in massive data regression. Existing literature only considers bounded covariates.
Guangqiang Teng   +3 more
doaj   +1 more source

Asymptotic Normality of M-Estimator in Linear Regression Model with Asymptotically Almost Negatively Associated Errors

open access: yesMathematics, 2023
This paper studies a linear regression model in which the errors are asymptotically almost negatively associated (AANA, in short) random variables. Firstly, the central limit theorem for AANA sequences of random variables is established. Then, we use the
Yu Zhang
doaj   +1 more source

Asymptotic Normality in Linear Regression with Approximately Sparse Structure

open access: yesMathematics, 2022
In this paper, we study the asymptotic normality in high-dimensional linear regression. We focus on the case where the covariance matrix of the regression variables has a KMS structure, in asymptotic settings where the number of predictors, p, is ...
Saulius Jokubaitis, Remigijus Leipus
doaj   +1 more source

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