Donsker results for the empirical process indexed by functions of locally bounded variation and applications to the smoothed empirical process
Author:
Affiliation:
1. Department of Econometrics and Data Science, Vrije Universiteit Amsterdam, 1081 HV Amsterdam, The Netherlands
2. Department of Mathematics, Saarland University, Germany
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Subject
Statistics and Probability
Reference66 articles.
1. van der Vaart, A.W. (1998). Asymptotic Statistics. Cambridge Series in Statistical and Probabilistic Mathematics 3. Cambridge: Cambridge Univ. Press. 10.1017/CBO9780511802256
2. Giné, E. and Nickl, R. (2016). Mathematical Foundations of Infinite-Dimensional Statistical Models. Cambridge Series in Statistical and Probabilistic Mathematics, [40]. New York: Cambridge Univ. Press. 10.1017/CBO9781107337862
3. Shorack, G.R. and Wellner, J.A. (1986). Empirical Processes with Applications to Statistics. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. New York: Wiley.
4. Parzen, E. (1962). On estimation of a probability density function and mode. Ann. Math. Stat. 33 1065–1076. 10.1214/aoms/1177704472
5. Tsybakov, A.B. (2009). Introduction to Nonparametric Estimation. Springer Series in Statistics. New York: Springer. 10.1007/b13794
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