Search Results

Approximations for multivariate U-statistics,
F. Götze, in Journal of Multivariate Analysis (1987)
Keywords: Berry-Esseen bound Edgeworth expansion moment condition U-statistic

Resampling methods for estimating functions with U-statistic structure,
Wenyu Jiang and Jack Kalbfleisch, from Berkeley Electronic Press (2004)
Keywords: Bootstrap; Estimating functions; La estimation; Resampling methods; U-statistics; Studentization,

Laws of the Iterated Logarithm for the Local U-Statistic Process,
Evarist Giné and David M. Mason, in Journal of Theoretical Probability (2007)
Keywords: U-Statistics, Law of iterated logarithm, Empirical process, Kernel density estimation

Complete convergence of triangular arrays and the law of the iterated logarithm for U-statistics,
Herold Dehling, in Statistics & Probability Letters (1989)
Keywords: triangular array Law of the Iterated logarithm U-statistic

On the central limit theorem for U-statistics under absolute regularity,
Miguel A. Arcones, in Statistics & Probability Letters (1995)
Keywords: Central limit theorem [beta]-mixing U-statistic

Bounds for Non-Gaussian Approximations of U-Statistics,
Yuri V. Borovskikh and Neville C. Weber, in Journal of Theoretical Probability (2002)
Keywords: U-statistics, U-statistical sums, symmetric degenerate kernel, Gaussian random variables, tail moments

Approximating symmetrized estimators of scatter via balanced incomplete U-statistics,
Lutz Dümbgen and Klaus Nordhausen, in Annals of the Institute of Statistical Mathematics (2024)
Keywords: Asymptotic normality, Incomplete U-statistic, Independent component analysis, Linear expansion, U-statistic

A U-statistic and estimation for the inverse Gaussian distribution,
V Seshadri, in Statistics & Probability Letters (1988)
Keywords: asymptotic normality Bessel function coefficient of variation inverse Gaussian distribution length biased sampling U-statistics

UMETA: Stata module for u-statistic-based univariate and multivariate random-effects meta-analysis,
Ben Dwamena, from Boston College Department of Economics (2011)
Keywords: u-statistic, meta-analysis, random effects

Generalized bootstrat for studentized U-statistics: A rank statistic approach,
Marie Husková and Paul Jansen, in Statistics & Probability Letters (1993)
Keywords: Bootstrap consistency studentized U-statistics rank statistics

Simpler Bootstrap Estimation of the Asymptotic Variance of U-statistic Based Estimators,
Bo E. Honore and Luojia Hu, from Federal Reserve Bank of Chicago (2015)
Keywords: U-statistics; bootstrap; inference; numerical derivatives

Tail inference using extreme U-statistics,
Jochem Oorschot, Johan Segers and Chen Zhou, from Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA) (2023)
Keywords: Extreme value index ; generalized Pareto distribution ; Hájek projection ; U-statistic

Tail inference using extreme U-statistics,
Jochem Oorschot, Johan Segers and Chen Zhou, from Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA) (2022)
Keywords: U-statistic ; Generalized Pareto distribution ; Hájek projection ; Extreme value index

Learning block structures in U-statistic-based matrices,
Weiping Zhang, Baisuo Jin and Zhidong Bai, in Biometrika (2021)
Keywords: Block-structured matrix, Clustering, Eigendecomposition, Random matrix, U-statistic

Inference on Income Inequality and Tax Progressivity Indices: U-Statistics and Bootstrap Methods,
Raquel Andres and Samuel Calonge, from ECINEQ, Society for the Study of Economic Inequality (2005)
Keywords: Income Inequality; Tax Progressivity; Statistical Inference; U-statistics; Bootstrap method.

U-Statistics for Change under Alternatives,
Edit Gombay, in Journal of Multivariate Analysis (2001)
Keywords: U-statistic degenerate and nondegenerate kernels change-point estimator projection law of iterated logarithm

Poisson limits for U-statistics,
André R. Dabrowski, Herold G. Dehling, Thomas Mikosch and Olimjon Sharipov, in Stochastic Processes and their Applications (2002)
Keywords: U-statistic Poisson random measure Correlation dimension Takens estimator Hill estimator Stable distribution Stein-Chen method Self-normalized sum

U-statistic Type Tests for Structural Breaks in Linear Regression Models,
William Pouliot and Jose Olmo, from Department of Economics, City University London (2008)
Keywords: Change-Point tests; CUSUM test; Linear regression models; Stochastic processes; U-statistics

High-Dimensional U-Statistics Type Hypothesis Testing via Jackknife Pseudo-Values with Multiplier Bootstrap,
Mingjuan Zhang and Libin Jin, in Mathematics (2024)
Keywords: high-dimensional; hypothesis testing; U-statistic; jackknife; multiplier bootstrap

Generalized Rank Estimates For An Autoregressive Time Series: A U-Statistic Approach,
J. Terpstra and M. Rao, in Statistical Inference for Stochastic Processes (2001)
Keywords: Absolutely regular processes, Autoregressive time series, Geometric absolute regularity, GR-estimates, Pair-wise slopes, Rank-based estimates, Robust, U-statistics,

Large deviations for U-statistics,
Miguel A. Arcones, in Journal of Multivariate Analysis (1992)
Keywords: large deviations U-statistics

Resampling U-statistics using p-stable laws,
Herold Dehling, Manfred Denker and Wojbor A. Woyczynski, in Journal of Multivariate Analysis (1990)
Keywords: U-statistic weak convergence normal domain of attraction of the p-stable law p-stable multiple stochastic integral

Multiple Change-Point Detection in Linear Regression Models via U-Statistic Type Processes,
Burcu Kapar and William Pouliot, from Department of Economics, University of Birmingham (2013)
Keywords: Structural Breaks, U-Statistics, Brownian Bridge, Linear Regression Model

Weak invariance of generalized u-statistics for nonstationary absolutely regular processes,
Michel Harel and Madan L. Puri, in Stochastic Processes and their Applications (1990)
Keywords: weak convergence * generalised U-statistic * absolute regularity * strong mixing * Brownian process * Skorohod topology

Central limit theorem and the bootstrap for U-statistics of strongly mixing data,
Herold Dehling and Martin Wendler, in Journal of Multivariate Analysis (2010)
Keywords: U-statistic Central limit theorem Block bootstrap Strong mixing Absolute regularity

Convergence rates for two-stage confidence intervals based on U-statistics,
N. Mukhopadhyay and G. Vik, in Annals of the Institute of Statistical Mathematics (1988)
Keywords: Fixed-width confidence intervals, two-stage procedure, rate of convergence, mean of a U-statistic,

A new representation of Cox's score statistic and its variance,
David Oakes and Amita K. Manatunga, in Statistics & Probability Letters (1992)
Keywords: Frailty martingale partial likelihood proportional hazards U-statistic

Tail probability approximations for U-statistics,
Robert W. Keener, John Robinson and Neville C. Weber, in Statistics & Probability Letters (1998)
Keywords: Large deviations U-statistics Tilting

On the Asymptotic Behavior of Weighted U-Statistics,
Mohamed Rifi and Frederic Utzet, in Journal of Theoretical Probability (2000)
Keywords: U-statistics, Ito–Wiener integrals

Maximal asymptotic power and efficiency of two-sample tests based on generalized U-Statistics,
Dietmar Ferger, in Metrika: International Journal for Theoretical and Applied Statistics (2004)
Keywords: Two-sample U-Statistics, Maximal local power, Optimal asymptotic relative efficiency, Statistical functionals,

On the invariance principle for U-statistics,
Peter Hall, in Stochastic Processes and their Applications (1979)
Keywords: U-statistics invariance principle projection degenerate and nondegenerate

Robust estimation of U-statistics,
Emilien Joly and Gábor Lugosi, in Stochastic Processes and their Applications (2016)
Keywords: U-statistics; Robust estimation; Median-of-means estimator;

Asymptotic distributions of non-degenerate U-statistics on trimmed samples,
Yuri V. Borovskikh and N.C. Weber, in Statistics & Probability Letters (2008)
Keywords: U-statistics Trimmed samples

On bounded maximum width sequential confidence ellipsoids based on generalized U-statistics,
George W. Williams and Pranab Kumar Sen, in Journal of Multivariate Analysis (1974)
Keywords: Asymptotic consistency efficiency average sample number confidence ellipsoid estimable parameters generalized U-statistics von Mises' differentiable statistical functions bounded maximum width

U-Statistics and Their Asymptotic Results for Some Inequality and Poverty Measures,
Kuan Xu, from Dalhousie University, Department of Economics (2006)
Keywords: U-statistics; inequality; poverty; measures

Dependent wild bootstrap for degenerate U- and V-statistics,
Anne Leucht and Michael H. Neumann, in Journal of Multivariate Analysis (2013)
Keywords: Bootstrap; Weak dependence; U-statistic; V-statistic; Cramér–von Mises test; Two-sample test;

Empirical likelihood for non-degenerate U-statistics,
Bing-Yi Jing, Junqing Yuan and Wang Zhou, in Statistics & Probability Letters (2008)
Keywords: Empirical likelihood Confidence interval U-statistics

On Berry-Esséen rates for m-dependent U-statistics,
Qiying Wang, in Statistics & Probability Letters (1999)
Keywords: U-statistics m-dependent Berry-Esséen bound

The strong law of U-statistics with [phi]*-mixing samples,
Qiying Wang, in Statistics & Probability Letters (1995)
Keywords: U-statistics [phi]*-mixing Almost sure convergence

A Kolmogorov inequality for U-statistics based on Bernoulli kernels,
Tasos C. Christofides, in Statistics & Probability Letters (1994)
Keywords: Kolmogorov inequality U-statistics Bernoulli kernels

Probability inequalities with exponential bounds for U-statistics,
Tasos C. Christofides, in Statistics & Probability Letters (1991)
Keywords: U-statistics exponential inequalities Bernoulli kernels

Threshold Results for U-Statistics of Dependent Binary Variables,
Niels G. Becker and Sergey Utev, in Journal of Theoretical Probability (2001)
Keywords: U-statistics, dependent binary variables, threshold results

The LIL for U-Statistics in Hilbert Spaces,
Radosław Adamczak and Rafał Latała, in Journal of Theoretical Probability (2008)
Keywords: U-statistics, Tail and moment estimates, Law of the iterated logarithm

Statistical arbitrage in the U.S. treasury futures market,
Wale Dare, from University of St. Gallen, School of Economics and Political Science (2017)
Keywords: Market efficiency, U.S. treasury futures, statistical arbitrage, joint-hypothesis

U-processes, U-quantile processes and generalized linear statistics of dependent data,
Martin Wendler, in Stochastic Processes and their Applications (2012)
Keywords: L-Statistic; U-statistics; Invariance principle; Bahadur representation; Mixing; Near epoch dependence;

Strong law of large numbers for weighted U-statistics: Application to incomplete U-statistics,
Masoud M. Nasari, in Statistics & Probability Letters (2012)
Keywords: Strong law of large numbers; Weighted U-statistics; Incomplete U-statistics; Reduction scheme;

Rate of convergence in the strong law of large numbers for U-statistics based on a multidimensionally indexed array of random variables,
Tasos C. Christofides, in Statistics & Probability Letters (1990)
Keywords: U-statistics multidimensionally indexed martingales

U-Statistics and Their Asymptotic Results for Some Inequality and Poverty Measures,
Kuan Xu, in Econometric Reviews (2007)
Keywords: Asymptotic theory, Inequality, Measures, Poverty, U-statistics,

Cramér’s type results for some bootstrapped U-statistics,
Sergio Alvarez-Andrade and Salim Bouzebda, in Statistical Papers (2020)
Keywords: U-statistics, Wild Bootstrap, Large deviations

U-statistics based on the Green's function of the Laplacian on the circle and the sphere,
J.-R. Pycke, in Statistics & Probability Letters (2007)
Keywords: Directional statistics Tests of uniformity U- and V-statistics Cramer-von Mises statistic Anderson-Darling statistic Watson statistic

Approaches to asymptotics for U-statistics of Gibbs facet processes,
Jakub Večeřa and Viktor Beneš, in Statistics & Probability Letters (2017)
Keywords: Central limit theorem; Gibbs facet process; U-statistics;

On the Marcinkiewicz–Zygmund Strong Law for U-Statistics,
Henry Teicher, in Journal of Theoretical Probability (1998)
Keywords: U-statistics, strong law, central limit theorem, iterated logarithm law

Hoeffding–Serfling Inequality for U-Statistics Without Replacement,
Jianhang Ai, Ondřej Kuželka and Yuyi Wang, in Journal of Theoretical Probability (2023)
Keywords: Hoeffding–Serfling inequality, U-statistics, Sampling without replacement

U-statistics with conditional kernels for incomplete data models,
Ao Yuan, Mihai Giurcanu, George Luta and Ming T. Tan, in Annals of the Institute of Statistical Mathematics (2017)
Keywords: U-statistics, Censored data, Incomplete data models, Non-parametric MLE

Asymptotic Distribution of the Kaplan-Meier U-Statistics,
Arup Bose and Arusharka Sen, in Journal of Multivariate Analysis (2002)
Keywords: random censoring Kaplan-Meier integral U-statistics central limit theorem law of iterated logarithm degenerate U-statistics double Wiener integral

Depth-based weighted jackknife empirical likelihood for non-smooth U-structure equations,
Yongli Sang, Xin Dang and Yichuan Zhao, in TEST: An Official Journal of the Spanish Society of Statistics and Operations Research (2020)
Keywords: Weighted jackknife empirical likelihood, U-statistic structure equations, Robustness, Depth function

A Bernstein-type inequality for U-statistics and U-processes,
Miguel A. Arcones, in Statistics & Probability Letters (1995)
Keywords: U-statistics Bernstein's inequality Exponential inequalities Empirical processes Rademacher chaos Decoupling

Some notes on ergodic theorem for U-statistics of order m for stationary and not necessarily ergodic sequences,
Davide Giraudo, in Statistics & Probability Letters (2024)
Keywords: U-statistics; Ergodic theorem; Stationary sequences;

U-statistic hierarchical clustering,
Roy D'Andrade, in Psychometrika (1978)
Keywords: clustering, non-parametric,

Limit theorems for non-degenerate U-statistics of continuous semimartingales,
Mark Podolskij, Christian Schmidt and Johanna Fasciati Ziegel, from Department of Economics and Business Economics, Aarhus University (2012)
Keywords: High frequency data, Limit theorems, Semimartingales, Stable convergence, U-statistics

Functional limit theorems for U-statistics indexed by a random walk,
Patricia Cabus and Nadine Guillotin-Plantard, in Stochastic Processes and their Applications (2002)
Keywords: Random walk Random scenery U-statistics Functional limit theorem

Central limit theorem for U-statistics of associated random variables,
Isha Dewan and B. L. S. Prakasa Rao, in Statistics & Probability Letters (2002)
Keywords: U-statistics Central limit theorem Associated random variables

U-statistics on a lattice of I.I.D. random variables,
Tasos C. Christofides and Robert Serfling, in Statistics & Probability Letters (1998)
Keywords: U-statistics Multidimensionally indexed random variables Limit theorems

The law of the large numbers for U-statistics for 2m-wise independent random variables,
Miguel A. Arcones, in Statistics & Probability Letters (1998)
Keywords: Strong law of the large numbers U-statistics Marcinkiewicz laws of large numbers

A simple variance inequality for U-statistics of a Markov chain with applications,
G. Fort, E. Moulines, P. Priouret and P. Vandekerkhove, in Statistics & Probability Letters (2012)
Keywords: U-statistics; Markov chains; Inequalities; Limit theorems; Law of large numbers;

On limiting distribution of U-statistics based on associated random variables,
Mansi Garg and Isha Dewan, in Statistics & Probability Letters (2018)
Keywords: Associated random variables; U-statistics; Central limit theorem; Skewness; Kurtosis;

On the consistency of incomplete U-statistics under infinite second-order moments,
Alexander Dürre and Davy Paindaveine, in Statistics & Probability Letters (2023)
Keywords: Consistency; Convergence rates; Incomplete U-statistics; Moment assumptions;

A class of U-statistics and asymptotic normality of the number of k-clusters,
Rabi N. Bhattacharya and Jayanta K. Ghosh, in Journal of Multivariate Analysis (1992)
Keywords: U-statistics martingales interpoint distance Poisson random field k-clusters

Sampling Properties of U-statistics for a Class of Stationary Nonlinear Processes,
Kamal Chanda, in Annals of the Institute of Statistical Mathematics (2006)
Keywords: Stationary nonlinear processes, U-statistics, Large sample properties,

Almost sure central limit theorem for the products of U-statistics,
Zuoxiang Peng, Zhongquan Tan and Saralees Nadarajah, in Metrika: International Journal for Theoretical and Applied Statistics (2011)
Keywords: Almost sure central limit theorem, U-statistics, Unbounded measurable function,

Almost sure limit theorems for U-statistics,
Hajo Holzmann, Susanne Koch and Aleksey Min, in Statistics & Probability Letters (2004)
Keywords: Almost sure limit theorem Functional limit theorem Stable distributions U-statistics

On asymptotic behavior of U-statistics for associated random variables,
Mansi Garg and Isha Dewan, in Statistics & Probability Letters (2015)
Keywords: Associated random variables; Central limit theorem; Gini’s mean difference; Hardy–Krause variation; U-statistics;

Hoeffding and Bernstein inequalities for U-statistics without replacement,
Jianhang Ai, Ondřej Kuželka and Yuyi Wang, in Statistics & Probability Letters (2022)
Keywords: Concentration inequalities; U-statistics; Sample without replacement; Hoeffding inequality; Bernstein inequality;

Convergence of U-Statistics for Interacting Particle Systems,
P. Moral, F. Patras and S. Rubenthaler, in Journal of Theoretical Probability (2011)
Keywords: Interacting particle systems, Feynman–Kac models, U-statistics, Fluctuations, Limit theorems

An Exponential Inequality for U-Statistics Under Mixing Conditions,
Fang Han, in Journal of Theoretical Probability (2018)
Keywords: U-statistics, Mixing conditions, Exponential inequality, High-dimensional time series inference

On the law of the iterated logarithm for canonical U-statistics and processes,
Miguel A. Arcones and Evarist Giné, in Stochastic Processes and their Applications (1995)
Keywords: Law of the iterated logarithm Canonical (or completely degenerate) U-statistics Canonical U-processes Product limit estimator Truncated data Density estimation

Functional limit theorems for U-statistics in the degenerate case,
Georg Neuhaus, in Journal of Multivariate Analysis (1977)
Keywords: Generalized U-statistics bivariate case degenerate case processes based on initial and tail sequences D([0 1]2) space functional limit theorems non-Gaussian processes

U-processes indexed by Vapnik-Cervonenkis classes of functions with applications to asymptotics and bootstrap of U-statistics with estimated parameters,
Miguel A. Arcones and Evarist Giné, in Stochastic Processes and their Applications (1994)
Keywords: U-statistics with estimated parameters Bootstrap Trimming VC classes Empirical processes

Adjustments of multi-sample U-statistics to right censored data and confounding covariates,
Yichen Chen and Somnath Datta, in Computational Statistics & Data Analysis (2019)
Keywords: Rank sum test; Censored data; Observational studies; Wilcoxon test; U-statistics; Mann–Whitney;

Generalised two-sample U-statistics and a two-species reaction-diffusion model,
Mathew D. Penrose, in Stochastic Processes and their Applications (1995)
Keywords: U-statistics Limit laws Infinitely divisible distributions Chemistry Reaction Diffusion Brownian motion Poisson process

Asymptotic normality for U-statistics of negatively associated random variables,
Wei Huang and Lin-Xi Zhang, in Statistics & Probability Letters (2006)
Keywords: Negatively associated random variables Central limit theorem U-statistics Degenerate Non-degenerate

Strong law of large numbers for U-statistics of varying order,
Grzegorz Rempala, in Statistics & Probability Letters (1998)
Keywords: U-statistics of varying order Martingale difference decomposition Complete convergence Strong law of large numbers for the arrays of random variables

Rates of convergence in the strong law of large numbers for degenerate U-statistics,
P. N. Kokic, in Statistics & Probability Letters (1987)
Keywords: 60F15 rates of convergence degenerate U-statistics law of iterated logarithm strong law of large numbers H-decomposition

Change point detection in high dimensional data with U-statistics,
B. Cooper Boniece, Lajos Horvath and Peter M. Jacobs, in TEST: An Official Journal of the Spanish Society of Statistics and Operations Research (2024)
Keywords: Large dimensional vectors, U-statistics, Weak convergence, Change point, Twitter data

A Berry–Esseen Bound for U-Statistics in the Non-I.I.D. Case,
I. B. Alberink, in Journal of Theoretical Probability (2000)
Keywords: U-statistics, Berry–Esseen bound, non-i.i.d. sampling, rate of convergence, Wilcoxon's rank-sum test

Weighted U-statistics for likelihood-ratio ordering of bivariate data,
Sangita Kulathinal and Isha Dewan, in Statistical Papers (2023)
Keywords: U-statistics, Censored data, Bivariate distributions, Likelihood-ratio ordering, Kaplan-Meier estimator, Inverse probability of censoring weights

Weak convergence of the conditional U-statistics for locally stationary functional time series,
Inass Soukarieh and Salim Bouzebda, in Statistical Inference for Stochastic Processes (2024)
Keywords: Conditional U-statistics, Locally stationary functional, Empirical processes, Conditional U-processes, VC-class of functions, Kernel-type estimators, Regression

A consistent bootstrap procedure for nonparametric symmetry tests,
Daniel Henderson and Christopher Parmeter, in Economics Letters (2015)
Keywords: U-statistic; Symmetry; Kernel; Bandwidth;

The Generalized Mann‐Whitney U‐Statistic,
R. E. Odeh, in Journal of the Royal Statistical Society Series C (1972)

EMPIRICAL PROCESS OF U-STATISTIC STRUCTURE,
Shi Z., in Statistics & Risk Modeling (1991)