Results 311 to 320 of about 4,122,773 (336)

Empirical U-statistics processes

Journal of Statistical Planning and Inference, 1992
Abstract A sharp exponential probability bound is obtained on the local fluctuations of the multivariate empirical U-statistics process, which brings the theory of these processes in line with the classical theory of i.i.d. empirical processes. The results are applied to obtain certain weak and strong convergence properties of weighted multivariate ...
Ruymgaart, F.H., Zuijlen, M.C.A. van
openaire   +3 more sources

Introduction to U-statistics

2018
U statistics are a large and important class of statistics. Indeed, any U-statistic (with finite variance) is the non-parametric minimum variance estimator of its expectation \( \theta \). Many common statistics and estimators are either U-statistics or approximately so.
Snigdhansu Chatterjee, Arup Bose
openaire   +2 more sources

On causal estimation using $U$-statistics

, 2018
Summary We introduce a general class of causal estimands which extends the familiar notion of average treatment effect. The class is defined by a contrast function, prespecified to quantify the relative favourability of one outcome over another, averaged
Lu Mao
semanticscholar   +1 more source

Distributed inference for degenerate U‐statistics

Stat, 2019
In many hypothesis testing problems, the test statistics are degenerate U‐statistics. One of the challenges in practice is the computation of U‐statistics for large dataset.
Ernest Atta-Asiamah, Mingao Yuan
semanticscholar   +1 more source

Weak convergence of the conditional U-statistics for locally stationary functional time series

Statistical Inference for Stochastic Processes : An International Journal devoted to Time Series Analysis and the Statistics of Continuous Time Processes and Dynamical Systems, 2023
Inass Soukarieh, S. Bouzebda
semanticscholar   +1 more source

Limit Theorems for U-Statistics [PDF]

, 1999
The decoupling results of Chapter 3 are very well suited for application in the asymptotic theory of U-statistics and U-processes, as we will see in this chapter and in the next. In this chapter we consider U-statistics. In general, we are interested in the “three gems” of classical probability theory, the law of large numbers, the central limit ...
Victor H. de la Peña, Evarist Giné
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Uniform consistency and uniform in number of neighbors consistency for nonparametric regression estimates and conditional U-statistics involving functional data

Japanese Journal of Statistics and Data Science, 2022
S. Bouzebda, Amel Nezzal
semanticscholar   +1 more source

Uniform in Bandwidth Consistency of Conditional U-statistics Adaptive to Intrinsic Dimension in Presence of Censored Data

Sankhya A, 2022
S. Bouzebda, Thouria El-hadjali, Anouar Abdeldjaoued Ferfache   +2 more
semanticscholar   +1 more source

U-Statistic Hierarchical Clustering [PDF]

Psychometrika, 1978
A monotone invariant method of hierarchical clustering based on the Mann-Whitney U-statistic is presented. The effectiveness of the complete-link, single-link, and U-statistic methods in recovering tree structures from error perturbed data are evaluated.
openaire   +1 more source

An Exponential Inequality for U-Statistics Under Mixing Conditions

Journal of theoretical probability, 2016
The family of U-statistics plays a fundamental role in statistics. This paper proves a novel exponential inequality for U-statistics under the time series setting.
Fang Han
semanticscholar   +1 more source