astronomy

Vidyadhar P. Godambe

Vidyadhar P. Godambe is a astronomy 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 Vidyadhar P. Godambe rather than just read about it. In short: Vidyadhar Prabhakar Godambe (1 June 1926 – 9 June 2016) was an Indian statistician. He was a Distinguished Professor Emeritus at the University of Waterloo.

Key takeaways

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

Reference excerpt

Vidyadhar Prabhakar Godambe (1 June 1926 – 9 June 2016) was an Indian statistician. He was a Distinguished Professor Emeritus at the University of Waterloo. Godambe was known for formulating and developing a theory of estimating equations.

Early life and education Godambe was born on 1 June 1926, in Pune, India, as the second oldest of four children. He was frail and sickly growing up, so he attended the local school from age five to 10. Godambe later attended Nutan Marathi Vidyalaya in Pune and Fergusson College for his Bachelor of Science in mathematics. After earning his master's degree, Godambe accepted a position in the Bureau of Economics and Statistics with the Government of Bombay. While there, he submitted papers for publication in the Journal of the Royal Statistical Society and Bulletin of the Bureau of Economics and Statistics, Bombay. Godambe shortly thereafter left Bombay to pursue a PhD at the University of London, and accepted a fellowship at the University of California, Berkeley. Upon his return, and completion of his thesis, Godambe was appointed a senior research fellow at the Indian Statistical Institute and professor and head of the Statistics Department in Nagpur.

Career Godambe eventually left Nagpur and accepted a position at Bombay University as a professor for one year. He then moved to North America and worked at the Dominion Bureau of Statistics, alongside Ivan Fellegi, then taught at Johns Hopkins University, University of Michigan, and finally the University of Waterloo. Godambe began his career at the University of Waterloo in July 1967 as a visiting professor in Statistics and Actuarial Sciences but was granted tenure as Professor in July 1969. A few years later, in 1971, Godambe and Mary Thompson read a paper to the Royal Statistical Society entitled ‘Bayes, fiducial, and frequency aspects of statistical inference in survey sampling. From there, "Godambe’s paradox" was invented. Based on the paper published in the Journal of the Royal Statistical Society, he demonstrated that the likelihood principle implies that inference should be independent of the sampling design in general, which led to the development of model theory in survey sampling. His method of estimating equations argued that all statistical inferences should adhere to his "ancillarity principle."

Awards and honours In 1987, Godambe was honoured with the Statistical Society of Canada (SSC) Gold Medal and was later named an honorary member. In 1991, he was appointed a Distinguished Professor Emeritus at the University of Waterloo. In 2002, Godambe was elected a Fellow of the Royal Society of Canada.

References

Worked examples

Example 1 — a first encounter with Vidyadhar P. Godambe

Start with the simplest possible case. Write down what Vidyadhar P. Godambe claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In astronomy, 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 Vidyadhar P. Godambe 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 Vidyadhar P. Godambe 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 Vidyadhar P. Godambe

In research: Vidyadhar P. Godambe appears in astronomy 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 Vidyadhar P. Godambe 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: Vidyadhar P. Godambe is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1926 births, 2016 deaths, Academic staff of the University of Waterloo, so understanding it makes those chapters shorter.
In everyday life: Look for Vidyadhar P. Godambe 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 Vidyadhar P. Godambe in 20 minutes

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

Frequently asked questions

What is Vidyadhar P. Godambe in simple terms?

Vidyadhar Prabhakar Godambe (1 June 1926 – 9 June 2016) was an Indian statistician. He was a Distinguished Professor Emeritus at the University of Waterloo.

Why does Vidyadhar P. Godambe matter?

Because it connects several astronomy 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 Vidyadhar P. Godambe?

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 Vidyadhar P. Godambe.