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State of the art in probability and statistics. Festschrift for Willem R. van Zwet. Papers from the symposium, Leiden, Netherlands, March 23–26, 1999. (English) Zbl 0972.00075

Institute of Mathematical Statistics Lecture Notes - Monograph Series 36. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 0-940600-50-1). xviii, 616 p., open access (2001).

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The symposium was held in the Lorentz Center of the University of Leiden in honour of the 65th birthday of Willem van Zwet. On each of the first three days of the symposium, six leading researchers in probability and statistics gave one-hour talks on current developments in these fields. The symposium was closed with two talks addressed to a general mathematical audience. Following the symposium Willem van Zwet gave a farewell lecture in the “Academie Gebouw” of the university (‘No complaints so far’, Leiden University Press, Leiden (1999), 15 p. https://openaccess.leidenuniv.nl/bitstream/handle/1887/5393/OR207.pdf?sequence=1; also appeared in Nieuw Arch. Wisk. 17, 268–279 (1999)).
This volume contains the proceedings of the symposium plus 13 other papers and serves as a Festschrift for Willem van Zwet. In addition to the 33 refereed articles on a wide range of topics in probability and statistics, we have included a short version of Willem’s vitae and the family tree of Willem’s students. (See the contribution by van Eeden.)
Table of contents:
Curriculum Vitae of Willem Rutger van Zwet (xii–xiii); Publications of Willem R. van Zwet (xiv–xviii) (67 items).
W. Albers, From A to Z: asymptotic expansions by van Zwet (2–20); A. J. Baddeley, Likelihoods and pseudolikelihoods for Markov spatial processes (21–49); O. E. Barndorff-Nielsen and F. E. Benth, Laser cooling and stochastics (50–71); Rudolf Beran, Extremal fits in REACT confidence sets (72–90); Peter J. Bickel and Jian-Jian Ren, The bootstrap in hypothesis testing (91–112).
Lucien Birgé, An alternative point of view on Lepski’s method (113–133); Erwin Bolthausen and David Brydges, Localization and decay of correlations for a pinned lattice free field in dimension two (134–149); D. M. Chibisov, Quadratic statistics in testing problems of large dimension (150–164); D. R. Cox, Some remarks on likelihood factorization (165–172); Sándor Csörgő and Zoltán Megyesi, Trimmed sums from the domain of geometric partial attraction of semistable laws (173–194); Persi Diaconis, Ronald Graham, and Susan P. Holmes, Statistical problems involving permutations with restricted positions (195–222).
Morris L. Eaton, Markov chain conditions for admissibility in estimation problems with quadratic loss (223–243); Constance van Eeden, The scientific family tree of Willem R. van Zwet (244–254); Richard D. Gill, Asymptotics in quantum statistics (255–285); Friedrich Götze and Alfredas Račkauskas, Adaptive choice of bootstrap sample sizes (286–309).
Geoffrey Grimmett, Conformal invariance, droplets, and entanglement (310–323); Edwin Choi and Peter Hall, Nonparametric analysis of earthquake point-process data (324–344); M. Hušková, A note on estimators of gradual changes (345–358); I. Ibragimov, Estimation of analytic functions (359–383); Peter Jagers, The deterministic evolution of general branching populations (384–398); Iain M. Johnstone, Chi-square oracle inequalities (399–418).
G. Golubev and R. Khasminskii, A statistical approach to the Cauchy problem for the Laplace equation (419–433); J. H. J. Einmahl and E. V. Khmaladze, The two-sample problem in \(\mathbb R^m\) and measure-valued martingales (434–463); M. R. Leadbetter, H. Rootzén and H. Choi, On central limit theory for random additive functions under weak dependence restrictions (464–476); David M. Mason, An exponential inequality for a weighted approximation to the uniform empirical process with applications (477–498); J. Pfanzagl, A nonparametric asymptotic version of the Cramér-Rao bound (499–517).
Ronald Pyke, The reassembling of shattered Brownian sheet (518–532); Peter Hall, Frits Ruymgaart, Onno van Gaans, and Arnoud van Rooij, Inverting noisy integral equations using wavelet expansions: a class of irregular convolutions (533–546); David Siegmund, Note on a stochastic recursion (547–554); Stephen M. Stigler, Ancillary history (555–567); Jef L. Teugels, On order statistics close to the maximum (568–581); G. Wahba, Adaptive tuning, 4-D Var and representers in RKHS (582–592); Jon A. Wellner, Some converse limit theorems for exchangeable bootstraps (593–606); Erik van Zwet, Perfect stochastic EM (607–616).
The articles of this volume will be reviewed individually.
Indexed articles:
Albers, W., From A to Z: asymptotic expansions by van Zwet, 2-20 [Zbl 1373.62063]
Baddeley, A. J., Likelihoods and pseudolikelihoods for Markov spatial processes, 21-49 [Zbl 1373.62469]
Barndorff-Nielsen, O. E.; Benth, F. E., Laser cooling and stochastics, 50-71 [Zbl 1371.82072]
Beran, Rudolf, Extremal fits in REACT confidence sets, 72-90 [Zbl 1373.62349]
Bickel, Peter J.; Ren, Jian-Jian, The bootstrap in hypothesis testing, 91-112 [Zbl 1380.62183]
Birgé, Lucien, An alternative point of view on Lepski’s method, 113-133 [Zbl 1373.62142]
Bolthausen, Erwin; Brydges, David, Localization and decay of correlations for a pinned lattice free field in dimension two, 134-149 [Zbl 1371.82042]
Chibisov, D. M., Quadratic statistics in testing problems of large dimension, 150-164 [Zbl 1373.62067]
Cox, D. R., Some remarks on likelihood factorization, 165-172 [Zbl 1373.62096]
Csörgő, Sándor; Megyesi, Zoltán, Trimmed sums from the domain of geometric partial attraction of semistable laws, 173-194 [Zbl 1371.60051]
Diaconis, Persi; Graham, Ronald; Holmes, Susan P., Statistical problems involving permutations with restricted positions, 195-222 [Zbl 1373.62176]
Eaton, Morris L., Markov chain conditions for admissibility in estimation problems with quadratic loss, 223-243 [Zbl 1373.62037]
van Eeden, Constance, The scientific family tree of Willem R. van Zwet, 244-254 [Zbl 1372.01071]
Gill, Richard D., Asymptotics in quantum statistics, 255-285 [Zbl 1371.81193]
Götze, Friedrich; Račkauskas, Alfredas, Adaptive choice of bootstrap sample sizes, 286-309 [Zbl 1373.62177]
Grimmett, Geoffrey, Conformal invariance, droplets, and entanglement, 310-323 [Zbl 1371.82046]
Choi, Edwin; Hall, Peter, Nonparametric analysis of earthquake point-process data, 324-344 [Zbl 1371.86027]
Hušková, M., A note on estimators of gradual changes, 345-358 [Zbl 1373.62208]
Ibragimov, I., Estimation of analytic functions, 359-383 [Zbl 1373.62130]
Jagers, Peter, The deterministic evolution of general branching populations, 384-398 [Zbl 1371.60149]
Johnstone, Iain M., Chi-square oracle inequalities, 399-418 [Zbl 1373.62062]
Golubev, G.; Khasminskii, R., A statistical approach to the Cauchy problem for the Laplace equation, 419-433 [Zbl 1373.62129]
Einmahl, J. H. J.; Khmaladze, E. V., The two-sample problem in \(\mathbb R^m\) and measure-valued martingales, 434-463 [Zbl 1373.62191]
Leadbetter, M. R.; Rootzén, H.; Choi, H., On central limit theory for random additive functions under weak dependence restrictions, 464-476 [Zbl 1371.60088]
Mason, David M., An exponential inequality for a weighted approximation to the uniform empirical process with applications, 477-498 [Zbl 1371.60062]
Pfanzagl, J., A nonparametric asymptotic version of the Cramér-Rao bound, 499-517 [Zbl 1373.62137]
Pyke, Ronald, The reassembling of shattered Brownian sheet, 518-532 [Zbl 1371.60092]
Hall, Peter; Ruymgaart, Frits; van Gaans, Onno; van Rooij, Arnoud, Inverting noisy integral equations using wavelet expansions: a class of irregular convolutions, 533-546 [Zbl 1371.42042]
Siegmund, David, Note on a stochastic recursion, 547-554 [Zbl 1371.60112]
Stigler, Stephen M., Ancillary history, 555-567 [Zbl 1373.62013]
Teugels, Jef L., On order statistics close to the maximum, 568-581 [Zbl 1373.62214]
Wahba, G., Adaptive tuning, 4-D var and representers in RKHS, 582-592 [Zbl 1371.86029]
Wellner, Jon A., Some converse limit theorems for exchangeable bootstraps, 593-606 [Zbl 1380.62185]
van Zwet, Erik, Perfect stochastic EM, 607-616 [Zbl 1373.62432]
Curriculum vitae Willem Rutger van Zwet, xii-xiii [Zbl 1372.01021]
Publications Willem R. van Zwet, xiv-xviii [Zbl 1372.01022]

MSC:

00B30 Festschriften
62-06 Proceedings, conferences, collections, etc. pertaining to statistics
60-06 Proceedings, conferences, collections, etc. pertaining to probability theory

Biographic References:

van Zwet, Willem R.
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