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Robert V. Hogg

Robert V. Hogg 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 Robert V. Hogg rather than just read about it. In short: Robert Vincent Hogg (8 November 1924 – 23 December 2014) was an American statistician and professor of statistics of the University of Iowa. Hogg is known for his widely used textbooks on statistics (with his 1963 Ph.D. student Elliot Alan Tanis) and on mathematical statistics (with his 1950 Ph.D. advisor Allen Thornton Craig).

Key takeaways

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

Reference excerpt

Robert Vincent Hogg (8 November 1924 – 23 December 2014) was an American statistician and professor of statistics of the University of Iowa. Hogg is known for his widely used textbooks on statistics (with his 1963 Ph.D. student Elliot Alan Tanis) and on mathematical statistics (with his 1950 Ph.D. advisor Allen Thornton Craig). Hogg has received recognition for his research on robust and adaptive nonparametric statistics and for his scholarship on total quality management and statistics education.

Academic career

Early life Hogg was born on 8 November 1924 in Hannibal, Missouri and graduated from West Rockford High School in 1942. He served three years in the U.S. Navy from 1943 through 1946. He was in the V-12 Navy College Training Program at Illinois Institute of Technology in Chicago and the Naval Reserve Officers Training Corps at the University of New Mexico. In 1947, he graduated from the University of Illinois Urbana-Champaign with a bachelor's degree in mathematics. With the goal of becoming an actuary, Hogg matriculated at the mathematics department of the University of Iowa (then the "State University of Iowa"). However, Hogg studied statistics under Allen Craig, who became his mentor and helped him obtain a job teaching statistics at the Mathematics Department. Hogg earned his Ph.D. 1950 under Allen Craig. After graduating, Hogg remained at the Mathematics Department, where he remained to become a long-serving professor.

Basu's theorem: Special cases Hogg independently discovered a special case of "Basu's theorem", a few years before the publication by Deb Basu. Hogg's second paper on the topic of Basu's theorem was never published, because of a negative report by an anonymous referee in 1953. Later, Basu refers "to Hogg and Craig (1956) for several interesting uses [of Basu's theorem] in proving results in distribution theory".

Collaboration and friendship with Allen Craig The textbook "Hogg and Craig" was innovative, particularly in emphasizing sufficient statistics: Sufficient statistics were treated not only for parametric families but also for nonparametric probability distributions: In particular, the sufficiency and completeness of the order statistics from a continuous distribution were treated. Another innovation was the systematic derivation of the distributions of functions of several random variables by using the change-of-variable method. As noted before, Craig was Hogg's mentor, helping him to obtain a teaching position while a graduate student and also supervising his thesis. Later, after Hogg had graduated, Craig became a close friend, and served as the best man at Hogg's wedding and later as the "godparent" to each of Hogg's four children. Indeed, Hogg's son Allen was named after Craig.

Chairing a new Department of Statistics In 1965 Hogg became the founding chair of the new Department of Statistics and Actuarial Science, and he remained as the chair for nineteen years. At Iowa, Hogg held other positions, including Chair of the Quality Management and Productivity Program and the Hanson Chair of Manufacturing Productivity. After serving 51 years as an instructor at the University of Iowa, Hogg became Professor Emeritus in 2001.

Statistics education Hogg has been a leader in statistics education in the United States. Hogg has received a number of educational awards by state and national organizations: these awards include the Iowa Governor’s Science Medal for Teaching in 1990, the Iowa Board of Regents' Award for Faculty Excellence in 1992, and the Iowa Section of the Mathematical Association of America (MAA)'s Distinguished Teaching Award in 1992 with the national MAA's Distinguished Teaching Award in 1993. At the University of Iowa, Hogg won his first teaching award after a student submitted a nomination with the title "There is a hog in my statistics book!".

Honors Hogg has been recognized internationally as a leading researcher in statistics and as an exemplary professor of statistics who has served as a public spokesperson for the profession. Hogg has had a particularly visible role in the United States, where he was elected as President of the American Statistical Association (ASA), serving in 1988. One of the ASA President's tasks is to arrange an annual meeting, and Hogg's diligence was rewarded by the ASA staff, who presented him with the name tag, "Boss Hogg" (after the name of a character in the television series The Dukes of Hazzard). Hogg was awarded the American Statistical Association Founders Award in 1991. In 1993 Hogg received the Deborah and Franklin Haimo Award for Distinguished College or University Teaching of Mathematics. Hogg's 70th birthday was marked by a conference organized by the Institute of Mathematical Statistics, whose proceedings were published as a special issue of Communications in Statistics – Theory and Methods in 1996; in the conference proceedings, a list of Hogg's publications appears on pages 2467–2481. For his research in nonparametric statistics, Hogg received the Gottfried Noether Senior Scholar Award in 2001. Hogg has also been internationally active on behalf of the statistics profession. Hogg is a Fellow of the Institute of Mathematical Statistics, which awarded him its Carver Medal. Hogg is also an Elected Member of the International Statistical Institute.

References

Textbooks Hogg, Robert V.; McKean, Joseph W.; Craig, Allen T. (2005). Introduction to mathematical statistics (fifth ed.). Upper Saddle River, New Jersey: Prentice Hall. p. 692. ISBN 978-0-13-008507-8. MR 0467974. ("Hogg and Craig" was first published in 1959.) Hogg, Robert V.; Tanis, Elliot A. (2010). Probability and Statistical Inference (eight ed.). Upper Saddle River, New Jersey: Prentice Hall. p. 648. ISBN 978-0-321-58475-5. | mr = 426223 Hogg, Robert V., Klugman, Stuart A. Loss distributions. With the assistance of Charles C. Hewitt and Gary Patrik. Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics. John Wiley & Sons, Inc., New York, 1984. x+235 pp. ISBN 0-471-87929-0. MR 0747141 Hogg, Robert V. and Ledolter, J. (1992). Applied Statistics for Engineers and Physical Scientists. Macmillan, New York.

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Worked examples

Example 1 — a first encounter with Robert V. Hogg

Start with the simplest possible case. Write down what Robert V. Hogg 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 Robert V. Hogg 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 Robert V. Hogg 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 Robert V. Hogg

In research
Robert V. Hogg 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 Robert V. Hogg 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
Robert V. Hogg is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1924 births, 2014 deaths, 20th-century American statisticians, so understanding it makes those chapters shorter.
In everyday life
Look for Robert V. Hogg 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 Robert V. Hogg in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Robert V. Hogg means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Robert V. Hogg out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Robert V. Hogg in simple terms?

Robert Vincent Hogg (8 November 1924 – 23 December 2014) was an American statistician and professor of statistics of the University of Iowa. Hogg is known for his widely used textbooks on statistics (with his 1963 Ph.D. student Elliot Alan Tanis) and on mathematical statistics (with his 1950 Ph.D…

Why does Robert V. Hogg 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 Robert V. Hogg?

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 Robert V. Hogg.

Tags

  • 1924 births
  • 2014 deaths
  • 20th-century American statisticians
  • 21st-century American statisticians
  • Elected Members of the International Statistical Institute
  • Fellows of the American Statistical Association
  • Fellows of the Institute of Mathematical Statistics
  • Illinois Institute of Technology alumni
  • Mathematicians from Missouri
  • People from Hannibal, Missouri
  • People from Highlands Ranch, Colorado
  • Presidents of the American Statistical Association

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