astronomy

Peter Gavin Hall

Peter Gavin Hall 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 Peter Gavin Hall rather than just read about it. In short: Peter Gavin Hall (20 November 1951 – 9 January 2016) was an Australian researcher in probability theory and mathematical statistics. The American Statistical Association described him as one of the most influential and prolific theoretical statisticians in the history of the field.

Key takeaways

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

Reference excerpt

Peter Gavin Hall (20 November 1951 – 9 January 2016) was an Australian researcher in probability theory and mathematical statistics. The American Statistical Association described him as one of the most influential and prolific theoretical statisticians in the history of the field. The School of Mathematics and Statistics Building at The University of Melbourne was renamed the Peter Hall building in his honour on 9 December 2016.

Education Hall attended Sydney Technical High School in Bexley, NSW during the years 1964–1969. He placed consistently high in examination results and in his final year, was among the top achievers in his form, and the winner of Old Boys' Union Mathematics prize. Hall earned his Doctor of Philosophy degree at the University of Oxford in 1976 for research supervised by John Kingman.

Career and research Hall was an author in probability and statistics. MathSciNet lists 606 publications as of January 2016. He made contributions to nonparametric statistics, in particular for curve estimation and resampling: the bootstrap method, smoothing, density estimation, and bandwidth selection. He worked on numerous applications across fields of economics, engineering, physical science and biological science. Hall also made contributions to surface roughness measurement using fractals. In probability theory he made many contributions to limit theory, spatial processes and stochastic geometry. His paper "Theoretical comparison of bootstrap confidence intervals" (Annals of Statistics, 1988) has been reprinted in the Breakthroughs in Statistics collection. He was an Australian Research Council (ARC) Laureate Fellow at the School of Mathematics and Statistics, University of Melbourne, and also had a joint appointment at University of California Davis. He previously held a professorship at the Centre for Mathematics and its Applications at the Australian National University.

Honours and awards His awards and honours included:

Published books P. Hall; C.C. Heyde (1980): Martingale Limit Theory and its Application, Academic Press, New York. ISBN 0-12-319350-8 P. Hall (1982): Rates of Convergence in the Central Limit Theorem, Pitman, London. ISBN 0-273-08565-4 P. Hall (1988): Introduction to the Theory of Coverage Processes, Wiley, New York. ISBN 0-471-85702-5 P. Hall (1992): The Bootstrap and Edgeworth Expansion, Springer, New York. ISBN 0-387-97720-1

Personal life Peter Hall was born to radiophysics and radio astronomy pioneer Ruby Payne-Scott and telephone technician William Holman Hall. His younger sister is artistic photographer and sculptor, Fiona Margaret Hall. Hall was a keen photographer with a special interest in train photography. He enjoyed travel and was a regular visitor to many universities around the world. He died of leukaemia in Melbourne on 9 January 2016. He is survived by his wife, Jeannie.

References

Illustrations

Worked examples

Example 1 — a first encounter with Peter Gavin Hall

Start with the simplest possible case. Write down what Peter Gavin Hall 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 Peter Gavin Hall 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 Peter Gavin Hall 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 Peter Gavin Hall

In research: Peter Gavin Hall 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 Peter Gavin Hall 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: Peter Gavin Hall is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1951 births, 2016 deaths, 20th-century Australian statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for Peter Gavin Hall 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 Peter Gavin Hall in 20 minutes

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

Frequently asked questions

What is Peter Gavin Hall in simple terms?

Why does Peter Gavin Hall 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 Peter Gavin Hall?

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 Peter Gavin Hall.