mathematics

Roy C. Geary

Roy C. Geary 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 Roy C. Geary rather than just read about it. In short: Robert (Roy) Charles Geary (April 11, 1896 – February 8, 1983) was an Irish mathematician, statistician and founder of both the Central Statistics Office and the Economic and Social Research Institute. Geary is known for his contributions to the estimation of errors-in-variables models, Geary's C, the Geary–Khamis dollar, the Stone–Geary utility function, and Geary's theorem, which has that if the sample mean is dis…

Key takeaways

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

Reference excerpt

Robert (Roy) Charles Geary (April 11, 1896 – February 8, 1983) was an Irish mathematician, statistician and founder of both the Central Statistics Office and the Economic and Social Research Institute. Geary is known for his contributions to the estimation of errors-in-variables models, Geary's C, the Geary–Khamis dollar, the Stone–Geary utility function, and Geary's theorem, which has that if the sample mean is distributed independently of the sample variance, then the population is distributed normally.

Education and career Geary was born in Dublin, Ireland and received his secondary education at the O'Connell School. He went on to study mathematics and mathematical physics at the University College Dublin, where he obtained his B.Sc. and M.Sc. degrees in 1916 and 1918, respectively. He was awarded a scholarship to continue his study at the Sorbonne in Paris, where he attended lectures by Émile Borel, Élie Cartan, Édouard Goursat, Henri Lebesgue, and Paul Langevin. Geary returned to Ireland in 1921, and was offered a lecturer position in mathematics at the University of Southampton (1922–23) and in applied economics at Cambridge University (1946–47). He was a statistician in the Department of Industry and Commerce between 1923 and 1957. The National University of Ireland conferred a Doctorate of Science on him in 1938. Geary was the founding director of the Central Statistics Office (Ireland) (in 1949). He was head of the National Accounts Branch of the United Nations in New York from 1957 to 1960. He was the founding director of the Economic and Social Research Institute (ESRI) in 1960 where he stayed till his retirement in 1966. He was an honorary fellow of the American Statistical Association and the Institute of Mathematical Statistics. In 1981, he won the Boyle Medal. To honour his contributions to social sciences, the UCD Geary Institute for Public Policy was named after him in 2005.

Works Europe's Future in Figures, North Holland (1962), ASIN: B002RB858E Elements of Linear Programming with Economic Applications (with J. E. Spencer), Lubrecht & Cramer Ltd (June 1973), ISBN 0317561367 Exercises in Mathematical Economics and Econometrics, with Outlines of Theory (with J. E. Spencer), London: Charles Griffin & Co (1987), ISBN 0852642261

References

External sources Roy Geary at Irish Universities at the Wayback Machine (archived April 17, 2005) "Robert Charles Geary, 1896–1983". Journal of the Royal Statistical Society. Series A (General). 148 (2): 162. 1985. JSTOR 2981948. J.P. Neary (1997), R.C. Geary's Contributions to Economic Theory, in D. Conniffe (ed.), Roy Geary 1896–1983: Irish Statistician, White Oak Press, Dublin at the Wayback Machine (archived March 25, 2005)

Worked examples

Example 1 — a first encounter with Roy C. Geary

Start with the simplest possible case. Write down what Roy C. Geary 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 Roy C. Geary 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 Roy C. Geary 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 Roy C. Geary

In research: Roy C. Geary 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 Roy C. Geary 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: Roy C. Geary is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1896 births, 1983 deaths, 20th-century Irish economists, so understanding it makes those chapters shorter.
In everyday life: Look for Roy C. Geary 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 Roy C. Geary in 20 minutes

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

Frequently asked questions

What is Roy C. Geary in simple terms?

Why does Roy C. Geary 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 Roy C. Geary?

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 Roy C. Geary.