mathematics

T. Tony Cai

T. Tony Cai 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 T. Tony Cai rather than just read about it. In short: Tianwen Tony Cai (Chinese: 蔡天文; pinyin: Cài Tiānwén; born March, 1967) is a Chinese statistician. He is the Daniel H.

Key takeaways

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

Reference excerpt

Tianwen Tony Cai (Chinese: 蔡天文; pinyin: Cài Tiānwén; born March, 1967) is a Chinese statistician. He is the Daniel H. Silberberg Professor of Statistics and Vice Dean at the Wharton School of the University of Pennsylvania. He is also professor of Applied Math & Computational Science Graduate Group, and associate scholar at the Department of Biostatistics, Epidemiology & Informatics, Perelman School of Medicine, University of Pennsylvania. In 2008 Cai received the COPSS Presidents' Award.

Early life and education Cai was born in Rui'an, Wenzhou, Zhejiang, China. In 1986, he graduated from the Department of Mathematics, Hangzhou University (previous and current Department of Mathematics, Zhejiang University), at 18 years old. In 1989, he received an M.Sc. from Shanghai Jiao Tong University and in 1996, earned a PhD from Cornell University.

Career Cai was appointed the Dorothy Silberberg Professor at the Wharton School of the University of Pennsylvania from July 1, 2007 to July 31, 2018 and has been the Daniel H. Silberberg Professor at Wharton since August 1, 2018. Cai has been the Vice Dean of the Wharton School since August 1, 2017. Cai's research focuses on high-dimensional statistics, statistical machine learning, large-scale inference, nonparametric function estimation, functional data analysis, and statistical decision theory, and applications to genomics, compressed sensing, chemical identification, medical imaging, and financial engineering. In 2017, Cai was elected to the presidency of International Chinese Statistical Association (ICSA).

Additional affiliations and memberships Cai was a co-editor of the Annals of Statistics from 2010 to 2012. He has also served on editorial boards of several other journals, including Journal of the American Statistical Association (JASA), Journal of the Royal Statistical Society Series B (JRSSB), Statistics Surveys, and Statistica Sinica.

Honors and awards 2009 Medallion Lecturer, Institute of Mathematical Statistics 2008 COPSS Presidents' Award 2006 Fellow, Institute of Mathematical Statistics

Personal life Cai has four brothers and one sister. His sister Tianxi Cai is the John Rock Professor of Population and Translational Data Sciences in the Department of Biostatistics at the Harvard T.H. Chan School of Public Health. She is also a professor at Harvard Medical School. His brother Tianwu Michael Cai, majored in physics (PhD, Rochester) is a vice-president of Goldman Sachs. Tony Cai has two children, a son and daughter.

External links T. Tony Cai's homepage at the Wharton School of University of Pennsylvania 校友蔡天文荣获国际统计学“考普斯”奖 (Zhejiang University (ZJU) news: Alumnus T.Tony Cai wins 2008 COPSS Presidents' Award)

References

Illustrations

Worked examples

Example 1 — a first encounter with T. Tony Cai

Start with the simplest possible case. Write down what T. Tony Cai 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 T. Tony Cai 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 T. Tony Cai 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 T. Tony Cai

In research: T. Tony Cai 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 T. Tony Cai 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: T. Tony Cai is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1967 births, American statisticians, Annals of Statistics editors, so understanding it makes those chapters shorter.
In everyday life: Look for T. Tony Cai 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 T. Tony Cai in 20 minutes

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

Frequently asked questions

What is T. Tony Cai in simple terms?

Tianwen Tony Cai (Chinese: 蔡天文; pinyin: Cài Tiānwén; born March, 1967) is a Chinese statistician. He is the Daniel H.

Why does T. Tony Cai 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 T. Tony Cai?

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 T. Tony Cai.