mathematics

Ker-Chau Li

Ker-Chau Li 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 Ker-Chau Li rather than just read about it. In short: Ker-Chau Li (Chinese: 李克昭) is a Taiwanese statistician. Education In 1975, Li graduated from National Taiwan University with a Bachelor of Science (B.S.) degree in mathematics.

Key takeaways

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

Reference excerpt

Ker-Chau Li (Chinese: 李克昭) is a Taiwanese statistician.

Education In 1975, Li graduated from National Taiwan University with a Bachelor of Science (B.S.) degree in mathematics. He then pursued graduate study in statistics at the University of California, Berkeley, where he earned his Master of Science (M.S.) in 1979 and his Ph.D. in 1981. Li's doctoral dissertation, titled "Contributions to Robust Design and Estimation Problems," was advised by Jack Kiefer.

Career Li began his teaching career as an assistant professor in the statistics department of Purdue University, then joined the mathematics department of the University of California, Los Angeles in 1984. He was promoted to a full professorship in 1989, and transferred to the newly established UCLA statistics department in 1999. In 2009, Li was appointed a distinguished professor. In his native Taiwan, Li served as editor of the Statistica Sinica, and from 2006, served as director and distinguished research fellow of Academia Sinica's Institute of Statistical Science, stepping down from the former position in 2012.

Honors and awards Li was elected a fellow of the Institute of Mathematical Statistics in 1989, awarded a Guggenheim Fellowship in 1993, and elected member of Academia Sinica and fellow of The World Academy of Sciences in 2012 and 2014, respectively.

References

Worked examples

Example 1 — a first encounter with Ker-Chau Li

Start with the simplest possible case. Write down what Ker-Chau Li 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 Ker-Chau Li 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 Ker-Chau Li 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 Ker-Chau Li

In research: Ker-Chau Li 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 Ker-Chau Li 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: Ker-Chau Li is common in secondary-school and first-year university syllabi. It links to neighbouring topics Fellows of The World Academy of Sciences, Fellows of the Institute of Mathematical Statistics, Living people, so understanding it makes those chapters shorter.
In everyday life: Look for Ker-Chau Li 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 Ker-Chau Li in 20 minutes

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

Frequently asked questions

What is Ker-Chau Li in simple terms?

Ker-Chau Li (Chinese: 李克昭) is a Taiwanese statistician. Education In 1975, Li graduated from National Taiwan University with a Bachelor of Science (B.S.) degree in mathematics.

Why does Ker-Chau Li 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 Ker-Chau Li?

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 Ker-Chau Li.