mathematics

Jozef Teugels

Jozef Teugels 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 Jozef Teugels rather than just read about it. In short: Jozef Lodewijk Maria Teugels, or Jozef L. Teugels, Jef Teugels (born February 20, 1939) is a Belgian mathematical statistician and actuary.

Key takeaways

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

Reference excerpt

Jozef Lodewijk Maria Teugels, or Jozef L. Teugels, Jef Teugels (born February 20, 1939) is a Belgian mathematical statistician and actuary. His main contributions are in extreme value theory, stochastic processes, and reinsurance theory.

Education and career Teugels was born in Londerzeel, Belgium and studied at the Catholic University of Louvain, where he received his licentiate in mathematics in 1963. He moved to the US to pursue further study and obtained his MSc in 1966 and PhD in 1967, both at Purdue University, where he was supervised by Marcel F. Neuts. He returned to Belgium in the same year and took up a faculty position at KU Leuven, where he was promoted to full professorship in 1973. He remained in Louvain until his retirement in 2004. During this period, Teugels was the chair of the Department of Mathematics from 1970 to 1977 and from 1982 to 1989. Teugels was named a distinguished alumnus of Purdue University in 2004. He was president of the International Statistical Institute between 2009 and 2011.

Bibliography Bingham, N. H.; Goldie, C. M.; Teugels, J. L. (1987). Regular Variation (1 ed.). Cambridge University Press. doi:10.1017/cbo9780511721434. ISBN 978-0-521-30787-1. Beirlant, Jan; Teugels, Jozef L.; Vynckier, Petra (1996). Practical analysis of extreme values. Leuven, Belgium: Leuven University Press. ISBN 90-6186-768-1. OCLC 36890147. Beirlant, Jan; Goegebeur, Yuri; Segers, Johan; Teugels, Jozef L. (2004). Statistics of extremes : theory and applications. Chichester, England: Wiley. ISBN 978-0-470-01237-6. OCLC 85820811. Teugels, Jef L.; Sundt, Bjørn, eds. (2004). Encyclopedia of actuarial science. Hoboken, NJ: Wiley. ISBN 0-470-84676-3. OCLC 55845505. Albrecher, Hansjörg; Beirlant, Jan; Teugels, Jozef L. (2008). Reinsurance : Actuarial and Statistical Aspects. Hoboken: John Wiley & Sons, Incorporated. ISBN 978-1-119-41993-8. OCLC 1003266191. Rolski, Tomasz; Schmidli, Hanspeter; Schmidt, V.; Teugels, Jozef L. (2009). Stochastic processes for insurance and finance. Chicester: Wiley. ISBN 9786612307928. OCLC 1303448068.

References

Illustrations

Worked examples

Example 1 — a first encounter with Jozef Teugels

Start with the simplest possible case. Write down what Jozef Teugels 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 Jozef Teugels 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 Jozef Teugels 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 Jozef Teugels

In research: Jozef Teugels 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 Jozef Teugels 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: Jozef Teugels is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1939 births, Academic staff of KU Leuven, Belgian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Jozef Teugels 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 Jozef Teugels in 20 minutes

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

Frequently asked questions

What is Jozef Teugels in simple terms?

Jozef Lodewijk Maria Teugels, or Jozef L. Teugels, Jef Teugels (born February 20, 1939) is a Belgian mathematical statistician and actuary.

Why does Jozef Teugels 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 Jozef Teugels?

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 Jozef Teugels.