mathematics

Lucien Le Cam

Lucien Le Cam 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 Lucien Le Cam rather than just read about it. In short: Lucien Marie Le Cam (November 18, 1924 – April 25, 2000) was a mathematician and statistician. Biography Le Cam was born November 18, 1924, in Croze, France.

Key takeaways

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

Reference excerpt

Lucien Marie Le Cam (November 18, 1924 – April 25, 2000) was a mathematician and statistician.

Biography Le Cam was born November 18, 1924, in Croze, France. His parents were farmers, and unable to afford higher education for him; his father died when he was 13. After graduating from a Catholic school in 1942, he began studying at a seminary in Limoges, but immediately quit upon learning that he would not be allowed to study chemistry there. Instead he continued his studies at a lycée, which did not teach chemistry but did teach mathematics. In May 1944 he joined an underground group, and then went into hiding, returning to his school the following November but soon afterwards moving to Paris, where he began studying at the University of Paris. He graduated in 1945 with the degree licence ès sciences. Le Cam then worked for a hydroelectric utility for five years, while meeting at the University of Paris for a weekly seminar in statistics. In 1950, he was invited to become an instructor at the University of California, Berkeley; he arrived that fall, with his original plan being to stay there a year on leave from his utility position. By the spring of 1951, he had met his future wife (Louise Romig, the daughter of statistician Harry Romig), decided to stay longer, and been admitted to the Ph.D. program. He obtained his Ph.D. in 1952, was appointed Assistant Professor in 1953 and continued working at Berkeley (except for a year in Montreal) beyond his retirement in 1991 until his death.

Contributions Le Cam was the major figure during the period 1950 – 1990 in the development of abstract general asymptotic theory in mathematical statistics. He is best known for the general concepts of local asymptotic normality and contiguity, and for developing a metric theory of statistical experiments, recounted in his 1986 magnum opus Asymptotic Methods in Statistical Decision Theory. Le Cam introduced the deficiency to compare two statistical models and the Le Cam distance bears his name.

Selected publications Le Cam, Lucien (1986). Asymptotic Methods in Statistical Decision Theory. Springer-Verlag. Le Cam, Lucien; Yang, Grace Lo (2000). Asymptotics in statistics: some basic concepts. Springer. ISBN 0-387-95036-2. Le Cam, Lucien (1990). "Maximum likelihood — an introduction". ISI Review. 58 (2): 153–171. doi:10.2307/1403464. JSTOR 1403464.

References

Further reading Lehmann, E. L. (1997). "Le Cam at Berkeley". In Pollard, David; Torgersen, Erik; Yang, Grace L. (eds.). Festschrift for Lucien Le Cam. Springer. pp. 297–304. doi:10.1007/978-1-4612-1880-7_18. Stigler, Stephen M. (2007). "The Epic Story of Maximum Likelihood". Statist. Sci. 22 (4): 598–620. arXiv:0804.2996. doi:10.1214/07-STS249. S2CID 357865. Yang, Grace L. (1999). "A Conversation with Lucien Le Cam". Statistical Science. 14 (2): 223–241. doi:10.1214/ss/1009212249.

External links In Memory of Lucien Le Cam Oberwolfach Photo Collection, 1973 Lucien Le Cam, Portraits of Statisticians

Illustrations

Worked examples

Example 1 — a first encounter with Lucien Le Cam

Start with the simplest possible case. Write down what Lucien Le Cam 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 Lucien Le Cam 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 Lucien Le Cam 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 Lucien Le Cam

In research: Lucien Le Cam 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 Lucien Le Cam 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: Lucien Le Cam is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1924 births, 2000 deaths, 20th-century French statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Lucien Le Cam 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 Lucien Le Cam in 20 minutes

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

Frequently asked questions

What is Lucien Le Cam in simple terms?

Lucien Marie Le Cam (November 18, 1924 – April 25, 2000) was a mathematician and statistician. Biography Le Cam was born November 18, 1924, in Croze, France.

Why does Lucien Le Cam 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 Lucien Le Cam?

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 Lucien Le Cam.