mathematics

Ming-Yen Cheng

Ming-Yen Cheng 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 Ming-Yen Cheng rather than just read about it. In short: Ming-Yen Cheng (Chinese: 鄭明燕) is a Taiwanese statistician specializing in nonparametric regression and semiparametric models for time series and longitudinal data, with applications including econometrics. She is a professor in the Department of Mathematics at Hong Kong Baptist University, where she directs the Statistics Research and Consultancy Centre and is associate director of the Institute for Computational an…

Key takeaways

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

Reference excerpt

Ming-Yen Cheng (Chinese: 鄭明燕) is a Taiwanese statistician specializing in nonparametric regression and semiparametric models for time series and longitudinal data, with applications including econometrics. She is a professor in the Department of Mathematics at Hong Kong Baptist University, where she directs the Statistics Research and Consultancy Centre and is associate director of the Institute for Computational and Theoretical Studies.

Education and career Cheng studied mathematics at National Tsing Hua University in Taiwan, graduating in 1988, and continued there for a master's degree in 1990. She earned a Ph.D. in 1994 at the University of North Carolina at Chapel Hill. Her dissertation, Curve Estimation with Boundary Considerations, was jointly supervised by James S. Marron and Jianqing Fan. From 1994 to 1998, Cheng was an associate professor of mathematics at National Chung Cheng University in Taiwan, also including a visit in 1996 and 1997 to the Australian National University as a postdoctoral research associate. She moved to National Taiwan University in 1998, and was promoted to full professor in 2000, a position she held until 2018. From 2006 onward she was a distinguished professor at National Taiwan University. Meanwhile, from 2008 to 2010, she was chair of statistics in the Department of Statistical Science at University College London. In 2017 she took her present position as a professor in the Department of Mathematics at Hong Kong Baptist University. She became associate director of the Institute for Computational and Theoretical Studies in 2022, and director of the Statistics Research and Consultancy Centre in 2023.

Recognition Cheng was a 2006 recipient of the TMS Young Mathematicians Prize of the Mathematical Society of the Republic of China. She is a Fellow of the Institute of Mathematical Statistics, elected in 2007 "for her outstanding contributions to nonparametric and semiparametric statistics, and for her dedicated service to statistical profession". In 2009 she was elected as a Fellow of the American Statistical Association. She has been named as an outstanding alumna of the National Tsing Hua University Mathematics Department.

References

External links Home page Resume at National Taiwan University Ming-Yen Cheng publications indexed by Google Scholar

Worked examples

Example 1 — a first encounter with Ming-Yen Cheng

Start with the simplest possible case. Write down what Ming-Yen Cheng 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 Ming-Yen Cheng 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 Ming-Yen Cheng 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 Ming-Yen Cheng

In research: Ming-Yen Cheng 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 Ming-Yen Cheng 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: Ming-Yen Cheng is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of Hong Kong Baptist University, Academic staff of the National Chung Cheng University, Academic staff of the National Taiwan University, so understanding it makes those chapters shorter.
In everyday life: Look for Ming-Yen Cheng 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 Ming-Yen Cheng in 20 minutes

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

Frequently asked questions

What is Ming-Yen Cheng in simple terms?

Why does Ming-Yen Cheng 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 Ming-Yen Cheng?

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 Ming-Yen Cheng.