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Selected works of Willem van Zwet. Edited by Sara van de Geer and Marten Wegkamp. (English) Zbl 1273.01064

Selected Works in Probability and Statistics. New York, NY: Springer (ISBN 978-1-4614-1313-4/hbk; 978-1-4614-1314-1/ebook). xxiv, 484 p. (2012).

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Publisher’s description: With this collections volume, some of the important works of Willem van Zwet are moved to the front layers of modern statistics. The selection was based on discussions with Willem, and aims at a representative sample. The result is a collection of papers that the new generations of statisticians should not be denied. They are here to stay, to enjoy and to form the basis for further research.
The papers are grouped into six themes: fundamental statistics, asymptotic theory, second-order approximations, resampling, applications, and probability. This volume serves as basic reference for fundamental statistical theory, and at the same time reveals some of its history.
The collection consists of reprints, discussions and an original paper. The articles of this volume will be reviewed individually.
Indexed articles:
van Zwet, W. R., Convex transformations: a new approach to skewness and kurtosis, 3-11 [Zbl 1373.62240]
Fabius, J.; van Zwet, W. R., Some remarks on the two-armed bandit, 13-23 [Zbl 1373.62424]
van Zwet, W. R., Van de Hulst on robust statistics: a historical note, 25-39 [Zbl 1373.62015]
Wellner, Jon A., Discussion of three statistics papers by Willem van Zwet, 41-45 [Zbl 1373.62014]
Ruymgaart, F. H.; Shorack, G. R.; van Zwet, W. R., Asymptotic normality of nonparametric tests for independence, 49-62 [Zbl 1373.62197]
Oosterhoff, J.; van Zwet, W. R., A note on contiguity and Hellinger distance, 63-72 [Zbl 1373.62065]
Klaassen, C. A. J.; van Zwet, W. R., On estimating a parameter and its score function, 73-85 [Zbl 1373.62087]
Klaassen, C. A. J.; van der Vaart, A. W.; van Zwet, W. R., On estimating a parameter and its score function. II, 87-94 [Zbl 1373.62089]
van Zwet, E. W.; van Zwet, W. R., A remark on consistent estimation, 95-102 [Zbl 1373.62139]
Klaassen, Chris A. J., Finite samples and asymptotics, 103-114 [Zbl 1373.62008]
Bickel, P. J.; van Zwet, W. R., Asymptotic expansions for the power of distributionfree tests in the two-sample problem, 117-184 [Zbl 1373.62207]
Bickel, P. J.; Chibisov, D. M.; van Zwet, W. R., On efficiency of first and second order, 185-191 [Zbl 1373.62206]
van Zwet, W. R., A Berry-Esseen bound for symmetric statistics, 193-208 [Zbl 1373.62066]
Bickel, P. J.; Götze, F.; van Zwet, W. R., The Edgeworth expansion for \(U\)-statistics of degree two, 209-230 [Zbl 1373.62064]
Bobkov, S. G.; Chistyakov, G. P.; Götze, F., Entropic instability of Cramer’s characterization of the normal law, 231-242 [Zbl 1371.60005]
Putter, Hein; van Zwet, Willem R., Resampling: consistency of substitution estimators, 245-266 [Zbl 1373.62183]
Bickel, P. J.; Götze, F.; van Zwet, W. R., Resampling fewer than \(n\) observations: gains, losses, and remedies for losses, 267-297 [Zbl 1373.62173]
Putter, Hein; van Zwet, Willem R., On a set of the first category, 299-307 [Zbl 1373.62184]
Bickel, Peter J., Discussion of three resampling papers, 309-311 [Zbl 1373.62006]
De Gunst, Mathisca C. M.; van Zwet, Willem R., A non-Markovian model for cell population growth: tail behavior and duration of the growth process, 315-347 [Zbl 1372.60069]
Fiocco, Marta; van Zwet, Willem R., Parameter estimation for the supercritical contact process, 349-370 [Zbl 1373.62437]
Litvak, Nelly; van Zwet, Willem R., On the minimal travel time needed to collect \(n\) items on a circle, 371-392 [Zbl 1372.90009]
Litvak, Nelly, Applications: simple models and difficult theorems, 393-399 [Zbl 1373.62010]
van Zwet, W. R., A proof of Kakutani’s conjecture on random subdivision of longest intervals, 403-407 [Zbl 1372.60041]
van Zwet, W. R., A strong law for linear functions of order statistics, 409-413 [Zbl 1372.60042]
Mason, David M.; van Zwet, Willem R., A refinement of the KMT inequality for the uniform empirical process, 415-428 [Zbl 1372.60038]
van Zwet, Willem R., The asymptotic distribution of point charges on a conducting sphere, 429-432 [Zbl 1372.60026]
Pyke, Ronald; van Zwet, Willem R., Weak convergence results for the Kakutani interval splitting procedure, 433-476 [Zbl 1372.60046]
Mason, David M., A discussion of Willem van Zwet’s probability papers, 477-484 [Zbl 1371.60001]
Wegkamp, Marten, Biography of Willem van Zwet, xix-xiv [Zbl 1372.01068]

MSC:

01A75 Collected or selected works; reprintings or translations of classics
62-03 History of statistics
01A60 History of mathematics in the 20th century
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