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$U$-Processes: Rates of Convergence
The Annals of Statistics, 1987 Let \(\xi_ 1,\xi_ 2,..\). be independent, identically distributed random variables and denote by \[ S_ n(f)=\sum_{1\leq i\neq j\leq n}f(\xi_ i,\xi_ j) \] the U-statistic with respect to the kernel f. The authors obtain almost sure convergence results for \(S_ n(f)\) uniformly over \(f\in F\) where F belongs to certain classes of kernels.
Nolan, Deborah, Pollard, David
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Convergence rates of posterior distributions
The Annals of Statistics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ghosal, Subhashis +2 more
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Convergence rate of Krasulina estimator [PDF]
Statistics & Probability Letters, 2019 Principal component analysis (PCA) is one of the most commonly used statistical procedures with a wide range of applications. Consider the points $X_1, X_2,..., X_n$ are vectors drawn i.i.d. from a distribution with mean zero and covariance $ $, where $ $ is unknown. Let $A_n = X_nX_n^T$, then $E[A_n] = $. This paper consider the problem of finding
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Rate of convergence of Lawson’s algorithm [PDF]
Mathematics of Computation, 1972 The algorithm of Charles L. Lawson determines uniform approximations of functions as limits of weighted L 2 {L_2} approximations. Lawson noticed from experimental evidence that the algorithm seemed to converge linearly and convergence was related to a factor which was the ratio of the largest ...
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On Convergence Rate of MRetrace
MathematicsOff-policy is a key setting for reinforcement learning algorithms. In recent years, the stability of off-policy learning for value-based reinforcement learning has been guaranteed even when combined with linear function approximation and bootstrapping ...
Xingguo Chen +4 more
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The rate of convergence to the normal law in terms of pseudomoments
Modern Stochastics: Theory and Applications, 2015 We establish the rate of convergence of distributions of sums of independent identically distributed random variables to the Gaussian distribution in terms of truncated pseudomoments by implementing the idea of Yu.
Yuliya Mishura +2 more
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A faster iterative scheme for solving nonlinear fractional differential equations of the Caputo type
AIMS Mathematics, 2023 In this paper, we introduce a new fixed point iterative scheme called the AG iterative scheme that is used to approximate the fixed point of a contraction mapping in a uniformly convex Banach space.
Godwin Amechi Okeke +3 more
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Rates of convergence of posterior distributions
The Annals of Statistics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Xiaotong, Wasserman, Larry
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Estimating Smoothness and Optimal Bandwidth for Probability Density Functions
Stats, 2022 The properties of non-parametric kernel estimators for probability density function from two special classes are investigated. Each class is parametrized with distribution smoothness parameter. One of the classes was introduced by Rosenblatt, another one
Dimitris N. Politis +2 more
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Disordered but rhythmic—the role of intrinsic protein disorder in eukaryotic circadian timing
FEBS Letters, EarlyView.Unstructured domains known as intrinsically disordered regions (IDRs) are present in nearly every part of the eukaryotic core circadian oscillator. IDRs enable many diverse inter‐ and intramolecular interactions that support clock function. IDR conformations are highly tunable by post‐translational modifications and environmental conditions, which ...
Emery T. Usher, Jacqueline F. Pelham
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