Weak Convergence and Empirical Processes: With Applications to Statistics
- A. V. D. Vaart, J. Wellner
- Mathematics
- 14 March 1996
This chapter discusses Convergence: Weak, Almost Uniform, and in Probability, which focuses on the part of Convergence of the Donsker Property which is concerned with Uniformity and Metrization.
Empirical Processes with Applications to Statistics
- D. A. Jones, G. Shorack, J. Wellner
- Mathematics
- 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…
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…
Efficient and Adaptive Estimation for Semiparametric Models.
- K. Do, P. Bickel, C. Klaassen, Y. Ritov, J. Wellner
- Mathematics
- 1 December 1994
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…
Exchangeably Weighted Bootstraps of the General Empirical Process
- J. Praestgaard, J. Wellner
- Mathematics, Economics
- 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…
Two estimators of the mean of a counting process with panel count data
- J. Wellner, Ying 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…
Empirical Processes with Applications to Statistics.
- D. Kennedy, G. Shorack, J. Wellner
- Mathematics
- 1988
TWO LIKELIHOOD-BASED SEMIPARAMETRIC ESTIMATION METHODS FOR PANEL COUNT DATA WITH COVARIATES
- J. Wellner, Ying 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…
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…
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