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Weak Convergence and Empirical Processes: With Applications to Statistics

- A. V. D. Vaart, J. Wellner
- Computer Science, Mathematics
- 14 March 1996

TLDR

Empirical Processes with Applications to Statistics

- D. A. Jones, G. Shorack, J. Wellner
- Mathematics, Economics
- 1 October 1987

Here is the first book to summarize a broad cross-section of the large volume of literature available on one-dimensional empirical processes. Presented is a thorough treatment of the theory of… Expand

Efficient and Adaptive Estimation for Semiparametric Models.

- K. Do, P. Bickel, C. Klaassen, Y. Ritov, J. Wellner
- Mathematics
- 1 December 1994

Information Bounds and Nonparametric Maximum Likelihood Estimation

- P. Groeneboom, J. Wellner
- Mathematics
- 31 July 1992

I. Information Bounds.- 1 Models, scores, and tangent spaces.- 1.1 Introduction.- 1.2 Models P.- 1.3 Scores: Differentiability of the Model.- 1.4 Tangent Sets P0 and Tangent Spaces P.- 1.5 Score… Expand

Information and Asymptotic Efficiency in Parametric-Nonparametric Models

- J. Begun, W. J. Hall, Wei-Min Huang, J. Wellner
- Mathematics
- 1 June 1983

Asymptotic lower bounds for estimation of the parameters of models with both parametric and nonparametric components are given in the form of representation theorems (for regular estimates) and… Expand

Two estimators of the mean of a counting process with panel count data

- J. Wellner, Y. Zhang
- Mathematics
- 1 May 2000

We study two estimators of the mean function of a counting process based on panel count data. The setting for panel count data is one in which n independent subjects, each with a counting process… Expand

TWO LIKELIHOOD-BASED SEMIPARAMETRIC ESTIMATION METHODS FOR PANEL COUNT DATA WITH COVARIATES

- J. Wellner, Y. Zhang
- Mathematics
- 6 September 2005

We consider estimation in a particular semiparametric regression model for the mean of a counting process with \panel count" data. The basic model assumption is that the conditional mean function of… Expand

Likelihood Ratio Tests for Monotone Functions

- M. Banerjee, J. Wellner
- Mathematics
- 1 December 2001

We study the problem of testing for equality at a fixed point in the setting of nonparametric estimation of a monotone function. The likelihood ratio test for this hypothesis is derived in the… Expand

Exchangeably Weighted Bootstraps of the General Empirical Process

- J. Praestgaard, J. Wellner
- Mathematics
- 1 October 1993

We consider an exchangeably weighted bootstrap of the general function-indexed empirical process. We find sufficient conditions on the bootstrap weights for the c~ntral limit theorem to hold for the… Expand

Estimation of a convex function: characterizations and asymptotic theory.

- P. Groeneboom, G. Jongbloed, J. Wellner
- Mathematics
- 1 December 2001

We study nonparametric estimation of convexregression and density functions by methods of least squares (in the regression and density cases) and maximum likelihood (in the density estimation… Expand

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