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'''Petrus (Piet) Groeneboom''' (born 24 September 1941<ref name="IMS_2007">{{cite book|title=Asymptotics: Particles, Processes and Inverse Problems: A Festschrift for Piet Groeneboom|editor-first1=Eric A.|editor-last1=Cator|editor-first2=Geurt|editor-last2=Jongbloed|editor-first3=Cor|editor-last3=Kraaikamp|editor-first4=Hendrik P.|editor-last4=Lopuhaä|editor-first5=Jon A.|editor-last5=Wellner|work=[[Institute of Mathematical Statistics]]|location=Beachwood, Ohio|series=Lecture Notes–Monograph Series|volume=55|year=2007|isbn=978-0-940600-71-3|url=https://projecteuclid.org/eBooks/institute-of-mathematical-statistics-lecture-notes-monograph-series/asymptotics-particles-processes-and-inverse-problems/toc/10.1214/lnms/1196797058}}</ref> in [[Scheveningen]]<ref name="statsci_2019"/>) is a [[Netherlands|Dutch]] statistician who made major advances in the field of shape-constrained statistical inference such as [[isotonic regression]], and also worked in [[probability theory]]. |
'''Petrus (Piet) Groeneboom''' (born 24 September 1941<ref name="IMS_2007">{{cite book|title=Asymptotics: Particles, Processes and Inverse Problems: A Festschrift for Piet Groeneboom|editor-first1=Eric A.|editor-last1=Cator|editor-first2=Geurt|editor-last2=Jongbloed|editor-first3=Cor|editor-last3=Kraaikamp|editor-first4=Hendrik P.|editor-last4=Lopuhaä|editor-first5=Jon A.|editor-last5=Wellner|work=[[Institute of Mathematical Statistics]]|location=Beachwood, Ohio|series=Lecture Notes–Monograph Series|volume=55|year=2007|doi=10.1214/lnms/1196797058 |isbn=978-0-940600-71-3|url=https://projecteuclid.org/eBooks/institute-of-mathematical-statistics-lecture-notes-monograph-series/asymptotics-particles-processes-and-inverse-problems/toc/10.1214/lnms/1196797058}}</ref> in [[Scheveningen]]<ref name="statsci_2019"/>) is a [[Netherlands|Dutch]] statistician who made major advances in the field of shape-constrained statistical inference such as [[isotonic regression]], and also worked in [[probability theory]]. |
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==Education and career== |
==Education and career== |
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At the beginning of his tertiary studies in 1959, Groeneboom enrolled in medicine at the [[University of Amsterdam]] but quickly switched to psychology at the same university, obtaining a [[Candidate (degree)|candidate degree]] in 1963.<ref name="statsci_2019" /> During his studies he attended a course on logic by analytic philosopher [[Else M. Barth]], whose influence, along with that by [[Lambert Meertens]] after his (Groeneboom's) candidate degree, he later stated as having made him decide to study mathematics. He was an assistant of [[Johannes de Groot]]. He obtained a [[master's degree]] in mathematics in 1971, also at the University of Amsterdam, and studied at the [[Vrije Universiteit Amsterdam]] from 1975 under Kobus Oosterhoff, obtaining his [[Doctor of Philosophy|Ph.D.]] degree in 1979.<ref name="statsci_2019">{{cite journal|title=A Conversation with Piet Groeneboom|last=Jongbloed|first=Geurt| |
At the beginning of his tertiary studies in 1959, Groeneboom enrolled in medicine at the [[University of Amsterdam]] but quickly switched to psychology at the same university, obtaining a [[Candidate (degree)|candidate degree]] in 1963.<ref name="statsci_2019" /> During his studies he attended a course on logic by analytic philosopher [[Else M. Barth]], whose influence, along with that by [[Lambert Meertens]] after his (Groeneboom's) candidate degree, he later stated as having made him decide to study mathematics. He was an assistant of [[Johannes de Groot]]. He obtained a [[master's degree]] in mathematics in 1971, also at the University of Amsterdam, and studied at the [[Vrije Universiteit Amsterdam]] from 1975 under Kobus Oosterhoff, obtaining his [[Doctor of Philosophy|Ph.D.]] degree in 1979.<ref name="statsci_2019">{{cite journal|title=A Conversation with Piet Groeneboom|last=Jongbloed|first=Geurt|journal=[[Statistical Science]]|volume=34|issue=1|pages=156–168|year=2019|doi=10.1214/18-STS663 |s2cid=145849794 |url=https://projecteuclid.org/journals/statistical-science/volume-34/issue-1/A-Conversation-with-Piet-Groeneboom/10.1214/18-STS663.full}}</ref> |
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Before and immediately after obtaining his master's degree, Groeneboom worked at the psychological laboratory of the University of Amsterdam. After his second stint there ended in 1973, he moved to the {{lang|nl|[[Centrum Wiskunde & Informatica]]}}, which at the time was called {{lang|nl|Mathematisch Centrum}} (Mathematical Centre), in the same city.<ref name="statsci_2019"/> |
Before and immediately after obtaining his master's degree, Groeneboom worked at the psychological laboratory of the University of Amsterdam. After his second stint there ended in 1973, he moved to the {{lang|nl|[[Centrum Wiskunde & Informatica]]}}, which at the time was called {{lang|nl|Mathematisch Centrum}} (Mathematical Centre), in the same city.<ref name="statsci_2019"/> |
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From 1979 to 1981, Groeneboom was a visiting assistant professor at the [[University of Washington]],<ref name="IMS_2007"/> to where he would return from 1999 to 2013 as affiliate professor in the department of statistics. From 1981 on, he was again based at the Mathematical Centre before being appointed full professor of statistics at the University of Amsterdam in 1984. In 1988, he moved to [[Delft University of Technology]], where he stayed until his retirement in 2006. From 2000 to 2006 he was additionally a part-time professor at the [[Vrije Universiteit Amsterdam]].<ref name="statsci_2019"/> |
From 1979 to 1981, Groeneboom was a visiting assistant professor at the [[University of Washington]],<ref name="IMS_2007"/> to where he would return from 1999 to 2013 as affiliate professor in the department of statistics. From 1981 on, he was again based at the Mathematical Centre before being appointed full professor of statistics at the University of Amsterdam in 1984. In 1988, he moved to [[Delft University of Technology]], where he stayed until his retirement in 2006. From 2000 to 2006 he was additionally a part-time professor at the [[Vrije Universiteit Amsterdam]].<ref name="statsci_2019"/> |
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Groeneboom has been a [[professor emeritus]] of [[statistics]] at [[Delft University of Technology]]<ref name="GGdJ18">{{cite journal|title=Elementary Statistics on Trial—The Case of Lucia de Berk|first1=Richard D.| |
Groeneboom has been a [[professor emeritus]] of [[statistics]] at [[Delft University of Technology]]<ref name="GGdJ18">{{cite journal|title=Elementary Statistics on Trial—The Case of Lucia de Berk|first1=Richard D.|last1=Gill|authorlink1=Richard D. Gill|first2=Piet|last2=Groeneboom|first3=Peter de|last3=Jong|journal=[[Chance (magazine)|Chance]]|volume=31|issue=4|pages=9–15|year=2019|doi=10.1080/09332480.2018.1549809 |url=https://www.tandfonline.com/doi/full/10.1080/09332480.2018.1549809|url-access=subscription|arxiv=1009.0802v3|s2cid=5245768 }}</ref> since his retirement in 2006. He has also held positions at the [[Vrije Universiteit Amsterdam]] and the [[University of Washington]]. Following his retirement he came to public attention for his statistical work in the retrial of [[Lucia de Berk]], a Dutch nurse, who had been convicted of murder. |
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==Research== |
==Research== |
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In 1979, Groeneboom, together with Kobus Oosterhoff and Frits H. Ruymgaart, formulated and proved [[Sanov's theorem]] in a [[Comparison of topologies|finer topology]] than had been known at the time.<ref>{{cite book |last1=Dembo|first1=Amir|author-link1=Amir Dembo|last2=Zeitouni|first2=Ofer|author-link2=Ofer Zeitouni|year=1998|edition=2nd |title=Large Deviations Techniques and Applications|publisher=Springer |location=New York|page=307| isbn=978-3-642-03310-0|series=Applications of Mathematics|volume=38|quote=The formulation and proof of Sanov's theorem in the τ{{hyphen}}topology is due to Groeneboom, Oosterhoff, and Ruymgart}}</ref> A paper he published in 1983 on properties of [[Brownian motion]] gave rise to a large body of literature on minorants of more general [[stochastic process]]es.<ref name="ejp_2022">{{cite journal|last1=Ouaki |first1=Medi |last2=Pitman|first2=Jim|title=Markovian structure in the concave minorant of Brownian motion|journal=[[Electronic Journal of Probability]]|year=2022|volume=27|article-number=57|pages=1–21|url=https://doi.org/10.1214/22-EJP769}}</ref> One of the main areas of work of Groeneboom has been shape constrained statistical inference, which includes [[isotonic regression]], an area with links to the aforementioned minorant problems,<ref name="ejp_2022"/> as a special case. His interest in shape constrained inference began in the second half of his two-year stay at the University of Washington.<ref name="statsci_2019"/><ref>{{cite journal|title=Asymptotic normality of statistics based on the convex minorants of empirical distribution functions|last1=Groeneboom|first1=Piet|last2=Pyke|first2=Ronald| |
In 1979, Groeneboom, together with Kobus Oosterhoff and Frits H. Ruymgaart, formulated and proved [[Sanov's theorem]] in a [[Comparison of topologies|finer topology]] than had been known at the time.<ref>{{cite book |last1=Dembo|first1=Amir|author-link1=Amir Dembo|last2=Zeitouni|first2=Ofer|author-link2=Ofer Zeitouni|year=1998|edition=2nd |title=Large Deviations Techniques and Applications|publisher=Springer |location=New York|page=307| isbn=978-3-642-03310-0|series=Applications of Mathematics|volume=38|quote=The formulation and proof of Sanov's theorem in the τ{{hyphen}}topology is due to Groeneboom, Oosterhoff, and Ruymgart}}</ref> A paper he published in 1983 on properties of [[Brownian motion]] gave rise to a large body of literature on minorants of more general [[stochastic process]]es.<ref name="ejp_2022">{{cite journal|last1=Ouaki |first1=Medi |last2=Pitman|first2=Jim|title=Markovian structure in the concave minorant of Brownian motion|journal=[[Electronic Journal of Probability]]|year=2022|volume=27|article-number=57|pages=1–21|doi=10.1214/22-EJP769 |s2cid=235166920 |url=https://doi.org/10.1214/22-EJP769}}</ref> One of the main areas of work of Groeneboom has been shape constrained statistical inference, which includes [[isotonic regression]], an area with links to the aforementioned minorant problems,<ref name="ejp_2022"/> as a special case. His interest in shape constrained inference began in the second half of his two-year stay at the University of Washington.<ref name="statsci_2019"/><ref>{{cite journal|title=Asymptotic normality of statistics based on the convex minorants of empirical distribution functions|last1=Groeneboom|first1=Piet|last2=Pyke|first2=Ronald|journal=[[The Annals of Probability]]|volume=11|issue=2|year=1983|pages=328–345|doi=10.1214/aop/1176993599 |url=https://projecteuclid.org/journals/annals-of-probability/volume-11/issue-2/Asymptotic-Normality-of-Statistics-Based-on-the-Convex-Minorants-of/10.1214/aop/1176993599.full}}</ref> In a 1985 article on an [[Density estimation|estimator]] of a monotone [[probability density|density]] named after [[Ulf Grenander]], he introduced the switching (or switch) relation, which came to be used widely in the area.<ref>{{cite journal |last1=Dümbgen |first1=Lutz |last2=Wellner |first2=Jon A. |last3=Wolff|first3=Malcolm|year=2018 |title=A law of the iterated logarithm for Grenander's estimator|journal=[[Stochastic Processes and Their Applications]] |volume=126|issue=12 |pages=3854–3864|doi=10.1016/j.spa.2016.04.012 |pmid=28042197 |pmc=5193173 }}</ref><ref>{{cite journal|url=https://projecteuclid.org/journals/annals-of-statistics/volume-48/issue-2/A-unified-study-of-nonparametric-inference-for-monotone-functions/10.1214/19-AOS1835.short|title=A unified study of nonparametric inference for monotone functions|last1=Westling|first1=Ted|last2=Carone|first2=Marco|journal=[[The Annals of Statistics]]|volume=48|issue=2|year=2020|pages=1001–1024|doi=10.1214/19-AOS1835 |pmid=32704192 |pmc=7377427 |url-access=subscription|arxiv=1806.01928}}</ref> He found the analytic form of [[Chernoff's distribution]], which later was understood to be omnipresent in monotone problems,<ref>{{cite journal|title=Some Developments in the Theory of Shape Constrained Inference|last1=Groeneboom|first1=Piet|last2=Jongbloed|first2=Geurt|journal=[[Statistical Science]]|volume=33|issue=4|year=2018|pages=473–492|doi=10.1214/18-STS657 |s2cid=13672538 |url=https://projecteuclid.org/journals/statistical-science/volume-33/issue-4/Some-Developments-in-the-Theory-of-Shape-Constrained-Inference/10.1214/18-STS657.full}}</ref> in the 1980s,<ref name="statsci_2019"/> independently of others who worked on the problem at the same time. His paper on the problem came to be regarded as a benchmark in the field of shape constrained inference. In the 2010s he returned to the problem, giving new proofs in collaboration with Steve Lalley and Nico Temme.<ref name="GLT2015">{{cite journal|title=Chernoff's distribution and differential equations of parabolic and Airy type|last1=Groeneboom|first1=Piet|last2=Lalley|first2=Steven|last3=Temme|first3=Nico|journal=[[Journal of Mathematical Analysis and Applications]]|volume=423|issue=2|pages=1804–1824|year=2015|doi=10.1016/j.jmaa.2014.10.051 |s2cid=119173815 |url=https://www.sciencedirect.com/science/article/pii/S0022247X14009895}}</ref><ref name="jaw_statsci">{{cite journal|title=A Conversation with Jon Wellner|last1=Banerjee|first1=Moulinath|last2=Samworth|first2=Richard J.|authorlink2=Richard Samworth|journal=[[Statistical Science]]|volume=33|issue=4|year=2018|pages=633–651|doi=10.1214/18-STS670 |s2cid=88523234 |url=https://projecteuclid.org/journals/statistical-science/volume-33/issue-4/A-Conversation-with-Jon-Wellner/10.1214/18-STS670.pdf}}</ref> |
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Since the late 1980s, Groeneboom has also worked on [[censored regression model]]s.<ref name="statsci_2019"/> He established the [[asymptotic distribution]] of the [[nonparametric statistics|nonparametric]] [[maximum likelihood estimation|maximum likelihood estimator]] of the [[survival function]] in the case of "case 1 censoring". The iterative convex minorant algorithm which he introduced in 1991 found use in statistical estimation for [[proportional hazards model]]s.<ref>{{cite conference |title= Interval censored survival data: a review of recent progress |last1=Huang |first1=Jian |last2=Wellner|first2=Jon A.|year=1997 |publisher=Springer |book-title=Proceedings of the first Seattle symposium in biostatistics |url=https://link.springer.com/chapter/10.1007/978-1-4684-6316-3_8|series=Lecture Notes in Statistics |editor1-last=Lin|editor1-first=Danyu|editor2-last=Fleming|editor2-first=Thomas R.| volume=123|pages= 123–169|location=New York|url-access=subscription}}</ref> |
Since the late 1980s, Groeneboom has also worked on [[censored regression model]]s.<ref name="statsci_2019"/> He established the [[asymptotic distribution]] of the [[nonparametric statistics|nonparametric]] [[maximum likelihood estimation|maximum likelihood estimator]] of the [[survival function]] in the case of "case 1 censoring". The iterative convex minorant algorithm which he introduced in 1991 found use in statistical estimation for [[proportional hazards model]]s.<ref>{{cite conference |title= Interval censored survival data: a review of recent progress |last1=Huang |first1=Jian |last2=Wellner|first2=Jon A.|year=1997 |publisher=Springer |book-title=Proceedings of the first Seattle symposium in biostatistics |url=https://link.springer.com/chapter/10.1007/978-1-4684-6316-3_8|series=Lecture Notes in Statistics |editor1-last=Lin|editor1-first=Danyu|editor2-last=Fleming|editor2-first=Thomas R.| volume=123|pages= 123–169|location=New York|doi=10.1007/978-1-4684-6316-3_8 |url-access=subscription}}</ref> |
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Together with Eric Cator, Groeneboom contributed to the probabilistic analysis of the Hammersley process, a continuous [[interacting particle system]] (IPS). Methods similar to theirs were subsequently applied to other IPSs.<ref>{{cite journal|title=A pedestrian's view on interacting particle systems, KPZ universality and random matrices|last1=Kriecherbauer|first1=Thomas|last2=Krug|first2=Joachim| |
Together with Eric Cator, Groeneboom contributed to the probabilistic analysis of the Hammersley process, a continuous [[interacting particle system]] (IPS). Methods similar to theirs were subsequently applied to other IPSs.<ref>{{cite journal|title=A pedestrian's view on interacting particle systems, KPZ universality and random matrices|last1=Kriecherbauer|first1=Thomas|last2=Krug|first2=Joachim|journal=[[Journal of Physics A]]|volume=43|issue=40|year=2010|pages=403001|doi=10.1088/1751-8113/43/40/403001 |arxiv=0803.2796 |s2cid=55894237 |url=https://iopscience.iop.org/article/10.1088/1751-8113/43/40/403001/meta|url-access=subscription}}</ref> He is known to influence academic thought amongst some American probabilists such as Jon A. Wellner of the [[University of Washington]].<ref name="jaw_statsci"/> |
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== Statistical advocacy in Lucia de Berk case == |
== Statistical advocacy in Lucia de Berk case == |
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== Honors and awards == |
== Honors and awards == |
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For his paper on Chernoff's distribution, written in 1984 but appearing much later in 1989, Groeneboom was awarded the [[Rollo Davidson Prize]] 1985.<ref name="GLT2015"/><ref>{{cite journal|title=Brownian motion with a parabolic drift and Airy functions|last=Groeneboom|first=Piet| |
For his paper on Chernoff's distribution, written in 1984 but appearing much later in 1989, Groeneboom was awarded the [[Rollo Davidson Prize]] 1985.<ref name="GLT2015"/><ref>{{cite journal|title=Brownian motion with a parabolic drift and Airy functions|last=Groeneboom|first=Piet|journal=[[Probability Theory and Related Fields]]|volume=81|issue=1|pages=79–109|year=1989|doi=10.1007/BF00343738 |s2cid=119980629 |url=https://link.springer.com/article/10.1007/BF00343738|quote=This paper was awarded the Rollo Davidson prize 1985 (Cambridge, UK)}}</ref> |
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Groeneboom is a fellow of the [[Institute of Mathematical Statistics]], and an elected member of the [[International Statistical Institute]]. In 2013, he delivered the [[Abraham Wald|Wald]] lectures at the [[Joint Statistical Meetings]] in [[Montreal]].<ref name="imstat_2013">{{cite web|url=https://imstat.org/2013/07/16/wald-lectures-piet-groeneboom/|title=Wald Lectures: Piet Groeneboom|work=[[Institute of Mathematical Statistics]]|date=16 July 2013|access-date=24 October 2022}}</ref><ref>{{cite web|url=https://www.isi-web.org/about/members/individual|title=Individual members|work=[[International Statistical Institute]]|date=n.d.|access-date=15 January 2023}}</ref> |
Groeneboom is a fellow of the [[Institute of Mathematical Statistics]], and an elected member of the [[International Statistical Institute]]. In 2013, he delivered the [[Abraham Wald|Wald]] lectures at the [[Joint Statistical Meetings]] in [[Montreal]].<ref name="imstat_2013">{{cite web|url=https://imstat.org/2013/07/16/wald-lectures-piet-groeneboom/|title=Wald Lectures: Piet Groeneboom|work=[[Institute of Mathematical Statistics]]|date=16 July 2013|access-date=24 October 2022}}</ref><ref>{{cite web|url=https://www.isi-web.org/about/members/individual|title=Individual members|work=[[International Statistical Institute]]|date=n.d.|access-date=15 January 2023}}</ref> |
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Revision as of 22:55, 8 August 2023
Petrus (Piet) Groeneboom | |
|---|---|
 Piet Groeneboom in 2016 | |
| Born | 24 September 1941 |
| Awards | Rollo Davidson Prize (1985) |
| Scientific career | |
| Fields | Statistics Probability theory |
| Institutions | |
| Thesis | Large Deviations and Asymptotic Efficiencies[1] (1979) |
| Doctoral advisor | Jacobus (Kobus) Oosterhoff |
| Doctoral students | Marloes Maathuis |
Petrus (Piet) Groeneboom (born 24 September 1941[2] in Scheveningen[3]) is a Dutch statistician who made major advances in the field of shape-constrained statistical inference such as isotonic regression, and also worked in probability theory.
Education and career
At the beginning of his tertiary studies in 1959, Groeneboom enrolled in medicine at the University of Amsterdam but quickly switched to psychology at the same university, obtaining a candidate degree in 1963.[3] During his studies he attended a course on logic by analytic philosopher Else M. Barth, whose influence, along with that by Lambert Meertens after his (Groeneboom's) candidate degree, he later stated as having made him decide to study mathematics. He was an assistant of Johannes de Groot. He obtained a master's degree in mathematics in 1971, also at the University of Amsterdam, and studied at the Vrije Universiteit Amsterdam from 1975 under Kobus Oosterhoff, obtaining his Ph.D. degree in 1979.[3]
Before and immediately after obtaining his master's degree, Groeneboom worked at the psychological laboratory of the University of Amsterdam. After his second stint there ended in 1973, he moved to the Centrum Wiskunde & Informatica, which at the time was called Mathematisch Centrum (Mathematical Centre), in the same city.[3]
From 1979 to 1981, Groeneboom was a visiting assistant professor at the University of Washington,[2] to where he would return from 1999 to 2013 as affiliate professor in the department of statistics. From 1981 on, he was again based at the Mathematical Centre before being appointed full professor of statistics at the University of Amsterdam in 1984. In 1988, he moved to Delft University of Technology, where he stayed until his retirement in 2006. From 2000 to 2006 he was additionally a part-time professor at the Vrije Universiteit Amsterdam.[3]
Groeneboom has been a professor emeritus of statistics at Delft University of Technology[4] since his retirement in 2006. He has also held positions at the Vrije Universiteit Amsterdam and the University of Washington. Following his retirement he came to public attention for his statistical work in the retrial of Lucia de Berk, a Dutch nurse, who had been convicted of murder.
Research
In 1979, Groeneboom, together with Kobus Oosterhoff and Frits H. Ruymgaart, formulated and proved Sanov's theorem in a finer topology than had been known at the time.[5] A paper he published in 1983 on properties of Brownian motion gave rise to a large body of literature on minorants of more general stochastic processes.[6] One of the main areas of work of Groeneboom has been shape constrained statistical inference, which includes isotonic regression, an area with links to the aforementioned minorant problems,[6] as a special case. His interest in shape constrained inference began in the second half of his two-year stay at the University of Washington.[3][7] In a 1985 article on an estimator of a monotone density named after Ulf Grenander, he introduced the switching (or switch) relation, which came to be used widely in the area.[8][9] He found the analytic form of Chernoff's distribution, which later was understood to be omnipresent in monotone problems,[10] in the 1980s,[3] independently of others who worked on the problem at the same time. His paper on the problem came to be regarded as a benchmark in the field of shape constrained inference. In the 2010s he returned to the problem, giving new proofs in collaboration with Steve Lalley and Nico Temme.[11][12]
Since the late 1980s, Groeneboom has also worked on censored regression models.[3] He established the asymptotic distribution of the nonparametric maximum likelihood estimator of the survival function in the case of "case 1 censoring". The iterative convex minorant algorithm which he introduced in 1991 found use in statistical estimation for proportional hazards models.[13]
Together with Eric Cator, Groeneboom contributed to the probabilistic analysis of the Hammersley process, a continuous interacting particle system (IPS). Methods similar to theirs were subsequently applied to other IPSs.[14] He is known to influence academic thought amongst some American probabilists such as Jon A. Wellner of the University of Washington.[12]
Statistical advocacy in Lucia de Berk case
In the late 2000s, Groeneboom joined Richard D. Gill in the attempt to overturn the conviction of Lucia de Berk, a Dutch nurse, who had been found guilty of murdering four of her patients, and attempting to kill three others. The matter was a high-profile case in the Netherlands, notable because it depended on the probabilities of certain events.[15] They argued that statistical considerations that had led to the initial suspicions of murder, and those which had remained at the center stage of the case afterwards, were flawed. The effort was ultimately successful and de Berk was finally acquitted of all accusations in 2010.[3][4]
Honors and awards
For his paper on Chernoff's distribution, written in 1984 but appearing much later in 1989, Groeneboom was awarded the Rollo Davidson Prize 1985.[11][16]
Groeneboom is a fellow of the Institute of Mathematical Statistics, and an elected member of the International Statistical Institute. In 2013, he delivered the Wald lectures at the Joint Statistical Meetings in Montreal.[17][18]
Books authored
- Groeneboom, Piet; Jongbloed, Geurt (2014). Nonparametric Estimation under Shape Constraints: Estimators, Algorithms and Asymptotics. Cambridge: Cambridge University Press. ISBN 978-0-521-86401-5.
- Dobrushin, Roland; Groeneboom, Piet; Ledoux, Michel (1994). Lectures on Probability Theory and Statistics. Ecole d'Ete de Probabilites de St. Flour. Vol. XXIV. Berlin, Heidelberg: Springer. ISBN 978-3-540-62055-6.
- Groeneboom, Piet; Wellner, Jon A. (1992). Information Bounds and Nonparametric Maximum Likelihood Estimation. Basel: Springer. ISBN 978-3-7643-2794-1.
- Groeneboom, Piet (1980). Large Deviations and Asymptotic Efficiencies. Vol. 118. Amsterdam: Mathematical Centre. ISBN 90-6196-190-4.
References
- ^ Piet Groeneboom at the Mathematics Genealogy Project
- ^ a b Cator, Eric A.; Jongbloed, Geurt; Kraaikamp, Cor; Lopuhaä, Hendrik P.; Wellner, Jon A., eds. (2007). Asymptotics: Particles, Processes and Inverse Problems: A Festschrift for Piet Groeneboom. Lecture Notes–Monograph Series. Vol. 55. Beachwood, Ohio. doi:10.1214/lnms/1196797058. ISBN 978-0-940600-71-3.
{{cite book}}:|work=ignored (help)CS1 maint: location missing publisher (link) - ^ a b c d e f g h i Jongbloed, Geurt (2019). "A Conversation with Piet Groeneboom". Statistical Science. 34 (1): 156–168. doi:10.1214/18-STS663. S2CID 145849794.
- ^ a b Gill, Richard D.; Groeneboom, Piet; Jong, Peter de (2019). "Elementary Statistics on Trial—The Case of Lucia de Berk". Chance. 31 (4): 9–15. arXiv:1009.0802v3. doi:10.1080/09332480.2018.1549809. S2CID 5245768.
- ^ Dembo, Amir; Zeitouni, Ofer (1998). Large Deviations Techniques and Applications. Applications of Mathematics. Vol. 38 (2nd ed.). New York: Springer. p. 307. ISBN 978-3-642-03310-0.
The formulation and proof of Sanov's theorem in the τ-topology is due to Groeneboom, Oosterhoff, and Ruymgart
- ^ a b Ouaki, Medi; Pitman, Jim (2022). "Markovian structure in the concave minorant of Brownian motion". Electronic Journal of Probability. 27 57: 1–21. doi:10.1214/22-EJP769. S2CID 235166920.
- ^ Groeneboom, Piet; Pyke, Ronald (1983). "Asymptotic normality of statistics based on the convex minorants of empirical distribution functions". The Annals of Probability. 11 (2): 328–345. doi:10.1214/aop/1176993599.
- ^ Dümbgen, Lutz; Wellner, Jon A.; Wolff, Malcolm (2018). "A law of the iterated logarithm for Grenander's estimator". Stochastic Processes and Their Applications. 126 (12): 3854–3864. doi:10.1016/j.spa.2016.04.012. PMC 5193173. PMID 28042197.
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This paper was awarded the Rollo Davidson prize 1985 (Cambridge, UK)
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