mathematics

Louis Chen Hsiao Yun

Louis Chen Hsiao Yun 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 Louis Chen Hsiao Yun rather than just read about it. In short: Louis Chen Hsiao Yun (Chinese: 陈晓云; pinyin: Chen Xiaoyun; born 26 December 1940) is emeritus professor at the National University of Singapore. Chen earned his BSc (Honours) from University of Singapore in 1964 and completed his MSc as well as PhD at Stanford University in 1969 and 1971 respectively.

Key takeaways

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

Reference excerpt

Louis Chen Hsiao Yun (Chinese: 陈晓云; pinyin: Chen Xiaoyun; born 26 December 1940) is emeritus professor at the National University of Singapore. Chen earned his BSc (Honours) from University of Singapore in 1964 and completed his MSc as well as PhD at Stanford University in 1969 and 1971 respectively. In 1972, he joined the mathematics department of the then University of Singapore as a lecturer. He was promoted to senior lecturer in 1977, associate professor in 1981 and professor in 1989.

Academic career Chen held several administrative appointments at the National University of Singapore (NUS). At NUS's Faculty of Science, he was head of the Department of Mathematics from July 1996 to June 2000 and head of the Department of Statistics and Applied Probability from July 2002 to June 2004. He was also director of NUS's Institute for Mathematical Sciences from July 2000 to December 2012. For his achievements in his field of study, he was appointed Tan Chin Tuan Centennial Professor from July 2006 to December 2012 and distinguished professor from January 2013 to June 2015.

Research, honours and awards Chen's research interests include the Stein-Chen method of Poisson approximation which deals with the probability of rare events. This method and technique is widely applied in many areas ranging from molecular biology to computer science. He was the first Asian to be elected president of the Bernoulli Society for Mathematical Statistics and Probability from August 1997 to July 1999, and was the first East Asian to be elected president of the Institute of Mathematical Statistics from August 2004 to July 2005. He was also elected vice-president of the International Statistical Institute from August 2009 to July 2011. Among his numerous local and international awards and honours are his election as Fellow of TWAS, The World Academy of Sciences in 2000 and Fellow of the Singapore National Academy of Science in 2011; a Public Administration Medal (Silver) in 2002; and the conferment by the French Government of the title of Chevalier dans l'Ordre des Palmes Académiques in 2005 for his service to education.

Selected works Chen, Louis H. Y., "Poisson approximation for dependent trials", Ann. Probability 3 (1975), no. 3, 534–545. Chen, Louis H. Y.; Goldstein, Larry; Shao, Qi-Man, "Normal approximation by Stein's method". Probability and its Applications (New York). Springer, Heidelberg, 2011. ISBN 978-3-642-15006-7. Barbour, A. D.; Chen, Louis H. Y.; Loh, Wei-Liem, "Compound Poisson approximation for nonnegative random variables via Stein's method", Ann. Probab. 20 (1992), no. 4, 1843–1866. Chen, Louis H. Y.; Röllin, Adrian; Xia, Aihua, “Palm theory, random measures and Stein couplings”, Ann. Appl. Probab. 31 (2021), no. 6, 2881–2923. Chen, Louis H. Y.; Shao, Qi-Man, "Stein's method for normal approximation". An introduction to Stein's method, 1–59, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., 4, Singapore Univ. Press, Singapore, 2005.

References Leong, Y. K.; Lee, S. L.; Sun, Y. (2005). "Louis Hsiao-Yun Chen: Epitome of Rare Events". Cosmos. 01: 1–15. doi:10.1142/S0219607705000127. "Distinguished Science Alumni Awards 2004: CHEN Hsiao Yun Louis". National University of Singapore. Retrieved 28 March 2013. Chua, G. (2015). "A series of rare events". Singapore's Scientific Pioneers. Asian Scientist Publishing. pp. 30–33.

External links Louis H. Y. CHEN, Department of Mathematics, National University of Singapore Louis Chen Hsiao Yun at the Mathematics Genealogy Project

Worked examples

Example 1 — a first encounter with Louis Chen Hsiao Yun

Start with the simplest possible case. Write down what Louis Chen Hsiao Yun 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 Louis Chen Hsiao Yun 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 Louis Chen Hsiao Yun 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 Louis Chen Hsiao Yun

In research: Louis Chen Hsiao Yun 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 Louis Chen Hsiao Yun 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: Louis Chen Hsiao Yun is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of the National University of Singapore, Chevaliers of the Ordre des Palmes Académiques, Elected Members of the International Statistical Institute, so understanding it makes those chapters shorter.
In everyday life: Look for Louis Chen Hsiao Yun 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 Louis Chen Hsiao Yun in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Louis Chen Hsiao Yun 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.
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Frequently asked questions

What is Louis Chen Hsiao Yun in simple terms?

Why does Louis Chen Hsiao Yun 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 Louis Chen Hsiao Yun?

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 Louis Chen Hsiao Yun.