Empirical Processes: Theory and Applications

Stochastic processes

1953 • 9,312 citations

The behavior of maximum likelihood estimates under nonstandard conditions

1967 • 4,602 citations

Limit Theorems for Stochastic Processes.

1988 • 4,355 citations

On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities

2015 • 3,217 citations

Empirical Processes with Applications to Statistics

2009 • 2,400 citations

Least absolute deviations estimation for the censored regression model

1984 • 1,298 citations

A Large Sample Study of the Life Table and Product Limit Estimates Under Random Censorship

1974 • 736 citations

Asymptotics for Least Absolute Deviation Regression Estimators

1991 • 648 citations

Cube Root Asymptotics

1990 • 641 citations

The Central Limit Theorem for Real and Banach Valued Random Variables

1981 • 611 citations

Central Limit Theorems for Empirical Measures

1978 • 582 citations

Least Absolute Deviations: Theory, Applications and Algorithms

1984 • 567 citations

Some Limit Theorems for Empirical Processes

1984 • 447 citations

$U$-Processes: Rates of Convergence

1987 • 416 citations

A course on empirical processes

1984 • 393 citations

Empirical Distributions in Selection Bias Models

1985 • 384 citations

Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems

1952 • 319 citations

Distances of Probability Measures and Random Variables

2010 • 285 citations

Large Sample Theory of Empirical Distributions in Biased Sampling Models

1988 • 231 citations

Probability Inequalities for Empirical Processes and a Law of the Iterated Logarithm

1984 • 210 citations

A Central Limit Theorem Under Metric Entropy with $L_2$ Bracketing

1987 • 179 citations

Universal Donsker Classes and Metric Entropy

2010 • 158 citations

A central limit theorem for empirical processes

1982 • 147 citations

Probability and Information Theory II

1973 • 133 citations

Estimation of a Distribution Function from Incomplete Observations

1975 • 111 citations

Functional Limit Theorems for $U$-Processes

1988 • 96 citations

Weak Convergence of Probabilities on Nonseparable Metric Spaces and Empirical Measures on Euclidean Spaces

2010 • 94 citations

Stochastic processes on Polish spaces

1991 • 91 citations

Some applications of the metric entropy condition to harmonic analysis

1983 • 91 citations

Probability in Banach Spaces, 8:

1992 • 76 citations

A Uniform Central Limit Theorem for Set-Indexed Partial-Sum Processes with Finite Variance

1986 • 67 citations

An Extended Wichura Theorem, Definitions of Donsker Class, and Weighted Empirical Distributions

2010 • 67 citations

Asymptotics for multivariate trimming

1992 • 67 citations

Rates of convergence in the central limit theorem for empirical processes

1986 • 47 citations

The Central Limit Theorem for Empirical Processes on Vapnik-Cervonenkis Classes

1987 • 44 citations

The Central Limit Theorem for Stochastic Processes

1987 • 41 citations

Comparison Theorems, Random Geometry and Some Limit Theorems for Empirical Processes

1989 • 39 citations

Central limit theorems for stochastic processes under random entropy conditions

1987 • 35 citations

Applications of almost surely convergent constructions of weakly convergent processes

1969 • 31 citations

On min–max majority and deepest points

1999 • 28 citations

Donsker Classes and Random Geometry

1987 • 22 citations

The central limit theorem for non-separable valued functions

1985 • 21 citations

Banach Spaces, Harmonic Analysis, and Probability Theory

1983 • 21 citations

The calculus of non-measurable functions and sets

1985 • 16 citations

Multivariate generalizations of the median and trimmed mean, I

1987 • 14 citations

Consistency Via Type 2 Inequalities: A Generalization of Wu's Theorem

1989 • 7 citations