mathematics

Lilly Sanathanan

Lilly Sanathanan 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 Lilly Sanathanan rather than just read about it. In short: Lalitha (Lilly) Padman Sanathanan is an Indian statistician. Sanathanan's early research concerned estimation of population size from sampled data, in the context of particle physics.

Key takeaways

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

Reference excerpt

Lalitha (Lilly) Padman Sanathanan is an Indian statistician. Sanathanan's early research concerned estimation of population size from sampled data, in the context of particle physics. She completed her Ph.D. in 1969, at the University of Chicago; her dissertation, Estimating Population Size in the Particle Scanning Context, was supervised by David Lee Wallace. After several years as an assistant and associate professor at the University of Illinois Chicago, she moved to Argonne National Laboratory in the late 1970s. By 1991 she had shifted career direction, to drug development. After working as a senior statistician at Abbott Laboratories, associate director of statistics for Ciba-Geigy, and director of research statistics for Smith, Kline & French, she became a director in the Center for Drug Evaluation and Research of the Food and Drug Administration. She was named a Fellow of the American Statistical Association in 1990. In 1991 she returned to private industry, as vice president of biostatistics and clinical data systems at the Institute for Biological Research and Development in Irvine, California. She later founded ClinWorld, a binational (US and Indian) clinical research organisation, which was purchased by Indian health corporation Sami Labs (now the Sami-Sabinsa Group) in 2003. In 2008 she published a self-help book, Life Vest, in Bangalore. She continues to operate a Florida-based statistics firm, STATLINK, and is a contributor to a cross-cultural podcast, the Global India Podcast.

References

Worked examples

Example 1 — a first encounter with Lilly Sanathanan

Start with the simplest possible case. Write down what Lilly Sanathanan 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 Lilly Sanathanan 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 Lilly Sanathanan 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 Lilly Sanathanan

In research: Lilly Sanathanan 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 Lilly Sanathanan 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: Lilly Sanathanan is common in secondary-school and first-year university syllabi. It links to neighbouring topics Argonne National Laboratory people, Fellows of the American Statistical Association, Indian statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Lilly Sanathanan 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 Lilly Sanathanan in 20 minutes

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

Frequently asked questions

What is Lilly Sanathanan in simple terms?

Lalitha (Lilly) Padman Sanathanan is an Indian statistician. Sanathanan's early research concerned estimation of population size from sampled data, in the context of particle physics.

Why does Lilly Sanathanan 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 Lilly Sanathanan?

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 Lilly Sanathanan.