mathematics

Jayanta Kumar Ghosh

Jayanta Kumar Ghosh 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 Jayanta Kumar Ghosh rather than just read about it. In short: Jayanta Kumar Ghosh (Bengali: জয়ন্ত কুমার ঘোষ, 23 May 1937 – 30 September 2017) was an Indian statistician, an emeritus professor at Indian Statistical Institute and a professor of statistics at Purdue University. Education He obtained a B.S. from Presidency College, then affiliated with the University of Calcutta, and subsequently a M.A. and a Ph.D. from the University of Calcutta under the supervision of H.

Key takeaways

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

Reference excerpt

Jayanta Kumar Ghosh (Bengali: জয়ন্ত কুমার ঘোষ, 23 May 1937 – 30 September 2017) was an Indian statistician, an emeritus professor at Indian Statistical Institute and a professor of statistics at Purdue University.

Education He obtained a B.S. from Presidency College, then affiliated with the University of Calcutta, and subsequently a M.A. and a Ph.D. from the University of Calcutta under the supervision of H. K. Nandi. He started his research career in the early 1960s, studying sequential analysis as a graduate student in the department of statistics at the University of Calcutta.

Research Among his best-known discoveries are the Bahadur–Ghosh–Kiefer representation (with R. R. Bahadur and Jack Kiefer) and the Ghosh–Pratt identity along with John W. Pratt. His research contributions fall within the fields of:

Bayesian inference Asymptotics Modeling and model selection High dimensional data analysis Nonparametric regression and density estimation Survival analysis Statistical genetics

Awards and honors Elected member of the International Statistical Institute Advisory editor, Journal of Statistical Planning and Inference Fellow of the Institute of Mathematical Statistics Fellow of the Indian National Science Academy Life member and director of the Calcutta Statistical Association Fellow of the Indian Academy of Sciences Japanese Society for Promotion of Sciences Fellowship, 1978 Shanti Swarup Bhatnagar Prize for Science and Technology, 1981 President, Statistics Section of the Indian Science Congress Association, 1991 President, International Statistical Institute, 1993 Mahalanobis Gold Medal of Indian Science Congress Association, 1998 Invited speaker of the International Congress of Mathematicians, 1998 P. V. Sukhatme Prize for Statistics, 2000 Mahalanobis Memorial Lecture, State Science and Technology Congress, W. Bengal, 2003 D.Sc. (h.c.), B.C. Roy Agricultural University, W. Bengal, India, 2006 International Indian Statistical Association (IISA) Lifetime Achievement Award, 2010 Padma Shree (2014) by the Government of India

Bibliography He has published over 50 research papers. He has also published four books, which are:

Invariance in Testing and Estimation (Lecture Notes), 1967, published by Indian Statistical Institute, Calcutta. Higher Order Asymptotics (based on CBMS-NSF lecture), published jointly by Institute of Mathematical Statistics and American Statistical Association, 1994. (with R.V. Ramamoorthi) Bayesian Nonparametrics (Springer 2003). (with Mohan Delampady and Tapas Samanta) An Introduction to Bayesian Analysis - Theory and Methods, Springer 2006.

References

External links Indian Statistical Institute Statistics Department homepage Dr. Ghosh's profile at Purdue University Archived 1 August 2019 at the Wayback Machine Dr. Ghosh's webpage at the Statistics Department of Purdue University A biography of Dr. Ghosh written by Professor Anirban Dasgupta

Illustrations

Worked examples

Example 1 — a first encounter with Jayanta Kumar Ghosh

Start with the simplest possible case. Write down what Jayanta Kumar Ghosh 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 Jayanta Kumar Ghosh 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 Jayanta Kumar Ghosh 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 Jayanta Kumar Ghosh

In research: Jayanta Kumar Ghosh 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 Jayanta Kumar Ghosh 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: Jayanta Kumar Ghosh is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1937 births, 2017 deaths, 20th-century Indian statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Jayanta Kumar Ghosh 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 Jayanta Kumar Ghosh in 20 minutes

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

Frequently asked questions

What is Jayanta Kumar Ghosh in simple terms?

Why does Jayanta Kumar Ghosh 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 Jayanta Kumar Ghosh?

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 Jayanta Kumar Ghosh.