mathematics

George Casella

George Casella 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 George Casella rather than just read about it. In short: George Casella (January 22, 1951 – June 17, 2012) was a Distinguished Professor in the Department of Statistics at the University of Florida. He died from multiple myeloma.

Key takeaways

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

Reference excerpt

George Casella (January 22, 1951 – June 17, 2012) was a Distinguished Professor in the Department of Statistics at the University of Florida. He died from multiple myeloma.

Academic career Casella completed his undergraduate education at Fordham University and graduate education at Purdue University. He served on the faculty of Rutgers University, Cornell University, and the University of Florida. His contributions focused on the area of statistics including Monte Carlo methods, model selection, and genomic analysis. He was particularly active in Bayesian and empirical Bayes methods, with works connecting with the Stein phenomenon, on assessing and accelerating the convergence of Markov chain Monte Carlo methods, as in his Rao–Blackwellization technique, and recasting lasso as Bayesian posterior mode estimation with independent Laplace priors.

Awards Casella was named as a Fellow of the American Statistical Association and the Institute of Mathematical Statistics in 1988, and he was made an Elected Fellow of the International Statistical Institute in 1989. In 2009, he was made a Foreign Member of the Spanish Royal Academy of Sciences.

Selected bibliography Casella, George; Lehmann, E. L. (1998). Theory of point estimation. Berlin: Springer. ISBN 0-387-98502-6. Lee Berger, Roger; Casella, George (2002). Statistical inference. Stamford, Connecticut: Thomson Learning. ISBN 0-534-24312-6. Casella, George; Robert, Christian P. (2004). Monte Carlo statistical methods. Berlin: Springer. ISBN 0-387-21239-6. McCulloch, Charles E.; Shayle R. Searle; Casella, George (2006). Variance components. New York: Wiley-Interscience. ISBN 0-470-00959-4. Casella, George (2008). Statistical design. Berlin: Springer. ISBN 978-0-387-75965-4. Casella, George; Robert, Christian P. (2009). Introducing Monte Carlo Methods with R (Use R). Berlin: Springer. ISBN 978-1-4419-1575-7. Casella, George; Wu, Rongling; Changxing Ma (2010). Statistical Genetics of Quantitative Traits: Linkage, Maps and QTL (Statistics for Biology and Health). Berlin: Springer. ISBN 978-1-4419-1912-0.

References

External links "George Casella Home Page". Retrieved 4 November 2012.

Worked examples

Example 1 — a first encounter with George Casella

Start with the simplest possible case. Write down what George Casella 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 George Casella 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 George Casella 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 George Casella

In research: George Casella 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 George Casella 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: George Casella is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1951 births, 2012 deaths, American mathematical statisticians, so understanding it makes those chapters shorter.
In everyday life: Look for George Casella 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 George Casella in 20 minutes

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

Frequently asked questions

What is George Casella in simple terms?

George Casella (January 22, 1951 – June 17, 2012) was a Distinguished Professor in the Department of Statistics at the University of Florida. He died from multiple myeloma.

Why does George Casella 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 George Casella?

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 George Casella.