mathematics

Xiao-Li Meng

Xiao-Li Meng 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 Xiao-Li Meng rather than just read about it. In short: Xiao-Li Meng (Chinese: 孟晓犁; born 1963) is a Chinese American statistician and the Whipple V. N.

Key takeaways

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

Reference excerpt

Xiao-Li Meng (Chinese: 孟晓犁; born 1963) is a Chinese American statistician and the Whipple V. N. Jones Professor of Statistics at Harvard University. He has written numerous research papers about Markov chain Monte Carlo algorithms and other statistical methodology.

Early life Meng received his B.Sc. from Fudan University in 1982 and his Ph.D. in statistics from Harvard University in 1990.

Career From 2004 to 2012, Meng was the Chair of Harvard's Department of Statistics, where he helped create innovative new statistics courses designed to give students a more positive impression of the subject. He edited the journals Bayesian Analysis from 2003 to 2005 and Statistica Sinica from 2005 to 2008. On August 14, 2012, Xiao-Li Meng was appointed dean of Harvard Graduate School of Arts and Sciences. Since its inception in 2019, he has been the editor of the Harvard Data Science Review.

Selected publications Meng, Xiao-Li (2023). "When You Were a Student at Harvard, Did You Dream of Becoming a Dean?". In Honggang Yang; Wenying Xu (eds.). The Rise of Chinese American Leaders in U.S. Higher Education: Stories and Roadmaps. Cham: Springer Nature Switzerland. doi:10.1007/978-3-031-42379-6_17. ISBN 978-3-031-42378-9.

Awards and honors He received the COPSS Presidents' Award in 2001. He was elected a fellow of the Institute of Mathematical Statistics in 1997 and of the American Statistical Association in 2004. He was elected fellow of the American Academy of Arts and Sciences (AAAS) in 2020. In 2013 he was recipient of the American Statistical Association's Founders Award.

References

External links Xiao-Li Meng's home page

Worked examples

Example 1 — a first encounter with Xiao-Li Meng

Start with the simplest possible case. Write down what Xiao-Li Meng 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 Xiao-Li Meng 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 Xiao-Li Meng 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 Xiao-Li Meng

In research: Xiao-Li Meng 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 Xiao-Li Meng 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: Xiao-Li Meng is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1963 births, Chinese emigrants to the United States, Fellows of the American Academy of Arts and Sciences, so understanding it makes those chapters shorter.
In everyday life: Look for Xiao-Li Meng 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 Xiao-Li Meng in 20 minutes

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

Frequently asked questions

What is Xiao-Li Meng in simple terms?

Xiao-Li Meng (Chinese: 孟晓犁; born 1963) is a Chinese American statistician and the Whipple V. N.

Why does Xiao-Li Meng 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 Xiao-Li Meng?

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 Xiao-Li Meng.