mathematics

Hans-Rudolf Künsch

Hans-Rudolf Künsch 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 Hans-Rudolf Künsch rather than just read about it. In short: Hans Rudolf Künsch (born October 17, 1951) is a Swiss mathematician and statistician based in Zürich, where he has been a professor with the Seminar für Statistik since 1983 at the ETH Zurich. Education and career Künsch studied mathematics at ETH Zürich Künsch worked as a research student at the University of Tokyo with a scholarship grant from the Japanese government.

Key takeaways

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

Reference excerpt

Hans Rudolf Künsch (born October 17, 1951) is a Swiss mathematician and statistician based in Zürich, where he has been a professor with the Seminar für Statistik since 1983 at the ETH Zurich.

Education and career Künsch studied mathematics at ETH Zürich Künsch worked as a research student at the University of Tokyo with a scholarship grant from the Japanese government. After completing his PhD at ETH Zürich, with a dissertation project under Hans Föllmer and Frank Hampel on Reellwertige Zufallsfelder auf einem Gitter: Interpolationsprobleme, Variationsprinzip und statistische Analyse, he returned to research work in Japan, at the University of Tokyo and the Institute of Statistical Mathematics. Since 1983 he has held various academic positions with his alma mater ETH Zürich. From 2007 to 2009, Künsch was the Chair of ETH Zürich's Department of Mathematics. He was a co-editor of the leading journal Annals of Statistics during the 1998–2000 period and has served on the Council of the worldwide organisation Institute of Mathematical Statistics. Künsch retired in 2014.

Research Künsch's main research areas are spatial statistics and random fields (geostatistics, parameter estimation for Gibbs fields, image analysis, space-time models); time series analysis (long range dependence, bootstrap methods for dependent data, general state-space models); and robust statistics and statistical model selection. Among his most frequently cited contributions is the Annals of Statistics 1989 article on bootstrapping and jackknifing in stationary time series.

References

External links Künsch's home page Seminar für Statistik with the ETH Department of Mathematics at the ETH

Illustrations

Worked examples

Example 1 — a first encounter with Hans-Rudolf Künsch

Start with the simplest possible case. Write down what Hans-Rudolf Künsch 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 Hans-Rudolf Künsch 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 Hans-Rudolf Künsch 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 Hans-Rudolf Künsch

In research: Hans-Rudolf Künsch 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 Hans-Rudolf Künsch 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: Hans-Rudolf Künsch is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1951 births, 20th-century Swiss mathematicians, 20th-century statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Hans-Rudolf Künsch 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 Hans-Rudolf Künsch in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Hans-Rudolf Künsch 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 Hans-Rudolf Künsch out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Hans-Rudolf Künsch in simple terms?

Hans Rudolf Künsch (born October 17, 1951) is a Swiss mathematician and statistician based in Zürich, where he has been a professor with the Seminar für Statistik since 1983 at the ETH Zurich. Education and career Künsch studied mathematics at ETH Zürich Künsch worked as a research student at the U…

Why does Hans-Rudolf Künsch 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 Hans-Rudolf Künsch?

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 Hans-Rudolf Künsch.