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Richard D. Gill

Richard D. Gill is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Richard D. Gill rather than just read about it. In short: Richard David Gill (born 11 September 1951) is a British-Dutch mathematician and professor emeritus at Leiden University. He has held academic positions in the Netherlands.

Richard D. Gill — main illustration
Richard D. Gill — illustration

Key takeaways

  • Richard D. Gill belongs to mathematics; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Richard D. Gill to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Richard D. Gill from memory before moving on to harder problems.

Reference excerpt

Richard David Gill (born 11 September 1951) is a British-Dutch mathematician and professor emeritus at Leiden University. He has held academic positions in the Netherlands. As a probability theorist and statistician, Gill has researched counting processes. He is also known for his consulting and advocacy on behalf of alleged victims of statistical misrepresentation, including the reversal of the murder conviction of a Dutch nurse who had been jailed for six years.

Education Gill was born in 1951 in Redhill, Surrey, England. He went to Gonville and Caius College, Cambridge in 1970 and earned a BA degree (1st class) in mathematics from the University of Cambridge in 1973, followed by a Diploma of Statistics (with distinction) in 1974. He subsequently moved to the Netherlands, where he married his Dutch wife, and in 1974 began his doctoral research at the Amsterdam Mathematics Centre, later receiving his PhD in mathematics from the Vrije Universiteit Amsterdam (VU Amsterdam) in 1979. His thesis, supervised by Jacobus (Kobus) Oosterhoff and Carel Scheffer, was titled Censoring and Stochastic Integrals. Gill has said that he was "not much of an activist" as a student, but now feels guilty about not speaking up more at the time about perceived injustices, saying that this is partly because of an incident when working as a statistician in the 1970s when he helped on an experiment that severed the front legs of rats to investigate whether it would lead to the reshaping of their skulls. Gill said that this incident has stayed with him, as "what upset me most is that I didn’t have the strength of character to refuse to do that job".

Career From 1974 to 1983, Gill worked as a research associate at the Mathematical Statistics department of the Mathematical Centre (later renamed Centrum Wiskunde & Informatica, or CWI) in Amsterdam. Between 1979 and 1982, he was also part-time research associate at Interfaculty for Actuarial Science and Econometrics of the VU Amsterdam. After receiving his doctorate, he continued to collaborate with Danish and Norwegian statisticians for ten years, co-authoring Statistical models based on counting processes, by Andersen, Borgan, Gill, and Keiding. Gill became head of the Mathematical Statistics Department at the CWI in 1983. From 1986 to 1990, he also served as a special professor (Dutch: "bijzonder hoogleraar") at Leiden University. In 1988, Gill moved to the Department of Mathematics of Utrecht University, where he became a full professor in mathematical stochastics, a position he held till 2006. In 2006, Gill moved to the Department of Mathematics at Leiden University, where he was appointed to the position of Professor of mathematical statistics. He retired from Leiden in 2017. During his career Gill has supervised 24 doctoral students, including Sara van de Geer and Mark van der Laan (co-advised by Peter Bickel). Gill became a citizen of the Netherlands in 1996.

Advocacy Gill has lobbied for retrials for nurses whose criminal convictions were based in part on statistical evidence, including Lucia de Berk and Benjamin Geen. Gill also said in a 2021 lecture that he suspects Beverley Allitt is innocent, and in a 2020 paper said the case "deserves fresh study". Gill states that his original involvement in campaigning for nurses stemmed from his wife encouraging him to get involved in the De Berk case, recounting her saying "They’re using statistics; you should get involved, do something useful". De Berk was sentenced in the Netherlands to life imprisonment in 2003, after a legal psychologist gave testimony that there was great likelihood that De Berk committed a string of murders. Gill and other professional statisticians showed this statistical testimony to be fallacious. Continued scrutiny further invalidated the testimony by showing that the data had been collected to support the conviction of De Berk. After a campaign in which Gill helped, a retrial was ordered and De Berk was found not guilty; she received a public apology from the Dutch government, which also began negotiating financial compensation. Gill's challenge of statistical evidence played a role in securing Daniela Poggiali's acquittal on murder charges in Italy in 2021. Benjamin Geen's applications for a retrial have been rejected and in 2013 and 2015 Gill and other statisticians asked the Criminal Cases Review Commission (CCRC) to look into his case. The appeals were unsuccessful. In 2022 Gill contributed to a peer reviewed report from the Royal Statistical Society on statistical issues in investigation of suspected medical misconduct. Since the conviction a British neonatal nurse, Lucy Letby, on multiple charges of murder and attempted murder in August 2023, Gill has publicly expressed doubt over her guilt.

Honours Gill was elected a Member of the International Statistical Institute in 1984, and a Fellow of the international Institute of Mathematical Statistics in 1989. He was appointed a Member of the Royal Netherlands Academy of Arts and Sciences in 1999. From 2007 to 2011, he served as President of the Netherlands Society for Statistics and Operations Research. Gill was selected as the 2010–2011 Distinguished Lorentz Fellow by the Netherlands Institute for Advanced Study in Humanities and Social Sciences.

Selected publications Andersen, Per K.; Borgan, Ornulf; Gill, Richard D.; Keiding, Niels (2012). Statistical Models Based on Counting Processes. Springer Science & Business Media. ISBN 978-1-4612-4348-9. Baddeley, Adrian J.; Gill, Richard D. (1997). "Kaplan-Meier estimators of distance distributions for spatial point processes". The Annals of Statistics. 25: 263–292. doi:10.1214/aos/1034276629.

References

External links Richard Gill's homepage at Leiden University.

Illustrations

Richard D. Gill illustration

Worked examples

Example 1 — a first encounter with Richard D. Gill

Start with the simplest possible case. Write down what Richard D. Gill claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Richard D. Gill before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Richard D. Gill ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Richard D. Gill

In research
Richard D. Gill appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Richard D. Gill in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Richard D. Gill is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1951 births, 20th-century British mathematicians, 20th-century British statisticians, so understanding it makes those chapters shorter.
In everyday life
Look for Richard D. Gill outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Richard D. Gill in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Richard D. Gill means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Richard D. Gill out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Richard D. Gill in simple terms?

Richard David Gill (born 11 September 1951) is a British-Dutch mathematician and professor emeritus at Leiden University. He has held academic positions in the Netherlands.

Why does Richard D. Gill matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Richard D. Gill?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Richard D. Gill.

Tags

  • 1951 births
  • 20th-century British mathematicians
  • 20th-century British statisticians
  • 20th-century Dutch mathematicians
  • 21st-century British mathematicians
  • 21st-century British statisticians
  • 21st-century Dutch mathematicians
  • Academic staff of Leiden University
  • Academic staff of Utrecht University
  • Alumni of the University of Cambridge
  • British civil rights activists
  • British emigrants to the Netherlands

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