Asymptotic Normality of Quadratic Estimators. [PDF]
Stoch 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
Robins J +3 more
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On the consistency and asymptotic normality of multiparameter persistent Betti numbers [PDF]
Journal of Applied and Computational Topology, 2021 The persistent Betti numbers are used in topological data analysis (TDA) to infer the scales at which topological features appear and disappear in the filtration of a topological space.
M. B. Botnan, C. Hirsch
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Asymptotic Normality for Plug-In Estimators of Generalized Shannon’s Entropy [PDF]
Entropy, 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
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The asymptotic normality of internal estimator for nonparametric regression [PDF]
Journal 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
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Uniformly asymptotic normality of sample quantiles estimator for linearly negative quadrant dependent samples [PDF]
Journal 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
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Asymptotic normality of fringe subtrees and additive functionals in conditioned Galton–Watson trees [PDF]
Random Struct. Algorithms, 2013 We consider conditioned Galton–Watson trees and show asymptotic normality of additive functionals that are defined by toll functions that are not too large.
S. Janson
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ASYMPTOTIC NORMALITY FOR WEIGHTED SUMS OF LINEAR PROCESSES [PDF]
Econometric Theory, 2012 We establish asymptotic normality of weighted sums of linear processes with general triangular array weights and when the innovations in the linear process are martingale differences.
K. Abadir +3 more
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Asymptotic normality and optimalities in estimation of large Gaussian graphical models [PDF]
, 2013 The Gaussian graphical model, a popular paradigm for studying relationship among variables in a wide range of applications, has attracted great attention in recent years.
Zhao Ren +3 more
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Asymptotic normality and efficiency of two Sobol index estimators [PDF]
, 2013 Many mathematical models involve input parameters, which are not precisely known. Global sensitivity analysis aims to identify the parameters whose uncertainty has the largest impact on the variability of a quantity of interest (output of the model). One
Alexandre Janon +4 more
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Equivalence Classes and Local Asymptotic Normality in System Identification for Quantum Markov Chains [PDF]
, 2014 We consider the problem of identifying and estimating dynamical parameters of an ergodic quantum Markov chain, when only the stationary output is accessible for measurements. The starting point of the analysis is the fact that the knowledge of the output
M. Guţă, J. Kiukas
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