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Papers (since 1999)

The nonparametric bootstrap for the current status model (2017), submitted.
Piet Groeneboom and Kim Hendrickx.
arXiv version

Current status linear regression (2017), (revision, submitted to Annals of Statistics)
Current status linear regression, supplementary material
Piet Groeneboom and Kim Hendrickx.

Confidence intervals for the current status model (2016), submitted.
Piet Groeneboom and Kim Hendrickx.
arXiv version

Obituary Kobus Oosterhoff (2016), To appear in Nieuw Archief voor Wiskunde.
Piet Groeneboom, Aad van der Vaart and Jan van Mill.

Nonparametric confidence intervals for monotone functions.
Piet Groeneboom and Geurt Jongbloed.
Annals of Statistics Volume 43, Number 5 (2015), 2019-2054.

Chernoff's distribution and differential equations of parabolic and Airy type.
Piet Groeneboom, Steven Lalley and Nico Temme.
arXiv:arxiv.org/abs/1305.6053 [math.PR]
Journal of Mathematical Analysis and Applications (2015).

Maximum smoothed likelihood estimators for the interval censoring model (2014).
Piet Groeneboom. Annals of Statistics, vol. 42, 2092-2137.
arXiv version

Testing monotonicity of a hazard: asymptotic distribution theory.
Piet Groeneboom and Geurt Jongbloed. arxiv:1101.3333
Bernoulli Journal (2013), vol. 19, 1965-1999.

Nonparametric (smoothed) likelihood and integral equations.
Piet Groeneboom. arXiv:1205.1984v1 [math.ST]
Journal of Statistical Planning and Inference (with discussion by Geurt Jongbloed,
Enno Mammen, Marloes Maathuis and Sara van de Geer), vol. 143, (2013), 2039-2078.

Testing equality of functions under monotonicity constraints.
Cécile Durot, Piet Groeneboom and Hendrik P. Lopuhaä.
arXiv:arxiv.org/abs/1207.2118 [math.ST] (2013).
Journal of Nonparametric Statistics (2013), vol. 25, 933-970.

Consistency of maximum likelihood estimators in a large class of deconvolution models.
Piet Groeneboom, Geurt Jongbloed and Stefanie Michael.
Canadian Journal of Statistics (2013), vol. 41, no. 1, 98-110.

Smooth and non-smooth estimates of a monotone hazard.
Piet Groeneboom and Geurt Jongbloed.
arxiv:1102.3999.
In: From Probability to Statistics and Back: High-Dimensional Models and Processes,
Festschrift for Jon Wellner, IMS Collections 9 (2013), 174-196, Project Euclid.

The bivariate current status model.
Piet Groeneboom. arXiv:1209.0542v1 [math.ST] (2012).
Electronic Journal of Statistics (2013), vol. 7, 1783--1805.

Convex hulls of uniform samples from a convex polygon.
Piet Groeneboom. arXiv:1109.3118v2
Advances in Applied Probability (2012), vol. 44, no. 2, 330-342.

Isotonic L_2-projection test for local monotonicity of a hazard.
Piet Groeneboom and Geurt Jongbloed. arxiv:1101.3306 (2011).
Journal of Statistical Planning and Inference (2012), vol. 142, 1644-1658.

A maximum smoothed likelihood estimator in the current status continuous mark model.
Piet Groeneboom, Geurt Jongbloed and Birgit Witte. arXiv:1109.1172v1 (2011).
Journal of Nonparametric Statistics (2012), vol. 24, 85-101.
Online version: Online platform Taylor & Francis

Smooth plug-in inverse estimators in the current status continuous mark model.
Piet Groeneboom, Geurt Jongbloed and Birgit Witte. arxiv:1102.1875 (2011).
Scandinavian Journal of Statistics. (2012). Vol. 39, 15-33.
Online version: Wiley Online Library

Vertices of the least concave majorant of Brownian motion with parabolic drift.
Piet Groeneboom. arxiv:1102.0028.
Electronic Journal of Probability (2011), vol. 16, 2234-2258.
The arxiv version corrects the scaling in part (iii) of Lemma 2.1.
and the correction also appeared in the Electronic Journal of Probability (2013), vol. 18, 1-1.

Likelihood ratio type two-sample tests for current status data.
Scandinavian Journal of Statistics. (2012). Vol. 39, 645-662.
The arxiv version arXiv:1102.4003 is the most recent version and treats on pp. 13
and 14 the difficulties with the scaling of a two sample test for current status data,
proposed in the book ``The Statistical Analysis of Interval-censored Failure Time
Data" of J. Sun, published in 2006 by Springer, New York.

Estimators for the interval censoring problem.
Piet Groeneboom and Tom Ketelaars. arXiv:1109.6176v1
Electronic Journal of Statistics (2011), vol. 5, 1797-1845.

The remaining area of the convex hull of a Poisson process.
Piet Groeneboom. http://arxiv.org/abs/1111.2504 (2011).

The tail of the maximum of Brownian motion minus a parabola.
Piet Groeneboom and Nico M. Temme. arXiv:1011.3972v3 (2011).
Electronic Communications in Probability, vol. 16, 458-466.

The maximum of Brownian motion minus a parabola.
Piet Groeneboom. arxiv:1102.0022
Electronic Journal of Probability (2010), vol. 15, 1930-1937.

Maximum smoothed likelihood estimation and smoothed maximum likelihood estimation in the current status model.
Piet Groeneboom, Geurt Jongbloed and Birgit Witte. arxiv:1102.0802 (2010).
Annals of Statistics (2010). Vol. 38, 352-387.

Generalized continuous isotonic regression (pdf file)
Piet Groeneboom and Geurt Jongbloed.
Statistics and Probability Letters (2010), Vol. 80, 248-253.

Global rate results for the MLE in a class of deconvolution models.
Stefanie Donauer, Piet Groeneboom and Geurt Jongbloed.
Statistics and Probability Letters (2009). Vol. 79, 519-524.

The support reduction algorithm for computing nonparametric function estimates in mixture models.
Piet Groeneboom, Geurt Jongbloed and Jon Wellner. arXiv:math/0405511v1 (2008).
Scandinavian Journal of Statistics (2008). Vol. 35, 385-399.

Current status data with competing risks: Consistency and rates of convergence of the MLE.
Piet Groeneboom, Marloes Maathuis and Jon Wellner. arXiv:math/0609020v2 (2008).
Annals of Statistics (2008). Vol. 36, 1031-1063.

Current status data with competing risks: Limiting distribution of the MLE. (pdf file).
Piet Groeneboom, Marloes Maathuis and Jon Wellner. arXiv:math/0609021v2 (2008).
Annals of Statistics (2008). Vol. 36, 1064-1089.

Estimating the upper support point in deconvolution (pdf file).
Lucie Aarts, Piet Groeneboom en Geurt Jongbloed
Scandinavian Journal of Statistics (2007), Vol. 34, 552-568.

Second class particles and cube root asymptotics for Hammersley's process (pdf file).
Eric Cator and Piet Groeneboom.
Annals of Probability (2006), Vol. 34, 1273-1295.

Hammersley's process with sources and sinks (pdf file, revision, 2005).
Eric Cator and Piet Groeneboom.
Annals of Probability (2005). Vol. 33, 879-903.

Kernel-type estimators for the extreme value index (pdf file), (pdf file),
Piet Groeneboom, Hendrik P. Lopuhaa and Peter-Paul de Wolf.
Annals of Statistics (2003). Vol. 31, 1956-1995.

Density estimation in the uniform deconvolution model, (ps file),
Piet Groeneboom and Geurt Jongbloed.
Statistica Neerlandica (2003), 57, p.136-157.

Hydrodynamical methods for analyzing longest increasing subsequences (pdf file), Piet Groeneboom.
Journal of Computational and Applied Mathematics (2002), Volume 142, 83-105.

Ulam's problem and Hammersley's process, (pdf file), Piet Groeneboom.
Annals of Probability, (2001). Volume 29, 683-690.

A canonical process for estimation of convex functions: the ``invelope'' of integrated Brownian motion +t^4, (pdf file),
Piet Groeneboom, Geurt Jongbloed and Jon A. Wellner. Annals of Statistics. December 2001.

Estimation of a Convex Function: Characterizations and Asymptotic Theory, (pdf file),
Piet Groeneboom, Geurt Jongbloed and Jon A. Wellner. Annals of Statistics. December 2001.

Computing Chernoff's distribution (pdf file),
Piet Groeneboom and Jon A. Wellner.
Journal of Computational and Graphical Statistics (2001).

Lecture on bivariate censoring and the incubation time of AIDS (pdf file), ps file

Nonparametric estimation of the lifetime and disease onset distributions for a survival-sacrifice model, (pdf file),
Antonio Eduardo Gomes, Piet Groeneboom and Jon.A. Wellner, August 2001.

A monotonicity property of the power function of multivariate tests, (pdf file),
Piet Groeneboom and Donald R. Truax, Indagationes Mathematicae, June 2000.

Asymptotically optimal estimation of smooth functionals for interval censoring, case 2,
Ronald Geskus and Piet Groeneboom, Annals of Statistics, April 1999.

Asymptotic normality of the L1-error of the Grenander estimator,
Piet Groeneboom, Hendrik P. Lopuhaa and Gerard Hooghiemstra, Annals of Statistics, August 1999.

Integrated Brownian motion, conditioned to be positive,
Piet Groeneboom, Geurt Jongbloed and Jon A. Wellner, Annals of Probability, July 1999.