Robert V. Hogg
Encyclopedia
Robert Vincent Hogg is 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
.
, Hogg served three years in the US Navy from 1943 through 1946. In 1947, he graduated from the University of Illinois 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.
", 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".
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.
in the US.
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!".
, 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 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
). Three years after Hogg had served as President, he was awarded the ASA’s Founder’s Award in 1991.
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
.
United States
The United States of America is a federal constitutional republic comprising fifty states and a federal district...
statistician
Statistician
A statistician is someone who works with theoretical or applied statistics. The profession exists in both the private and public sectors. The core of that work is to measure, interpret, and describe the world and human activity patterns within it...
and professor of statistics of the University of Iowa
University of Iowa
The University of Iowa is a public state-supported research university located in Iowa City, Iowa, United States. It is the oldest public university in the state. The university is organized into eleven colleges granting undergraduate, graduate, and professional degrees...
. Hogg is known for his widely used textbooks on statistics
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
(with his 1963 Ph.D. student Elliot Alan Tanis) and on mathematical statistics
Mathematical statistics
Mathematical statistics is the study of statistics from a mathematical standpoint, using probability theory as well as other branches of mathematics such as linear algebra and analysis...
(with his 1950 Ph.D. advisor Allen Thornton Craig). Hogg has received recognition for his research on
robust
Robust statistics
Robust statistics provides an alternative approach to classical statistical methods. The motivation is to produce estimators that are not unduly affected by small departures from model assumptions.- Introduction :...
and adaptive
Sequential analysis
In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. Instead data are evaluated as they are collected, and further sampling is stopped in accordance with a pre-defined stopping rule as soon as significant results...
nonparametric statistics and for his scholarship
Scholarship
A scholarship is an award of financial aid for a student to further education. Scholarships are awarded on various criteria usually reflecting the values and purposes of the donor or founder of the award.-Types:...
on total quality management
Total Quality Management
Total quality management or TQM is an integrative philosophy of management for continuously improving the quality of products and processes....
and statistics education
Statistics education
Statistics education is concerned with the teaching and learning of statistics.Statistics is both a formal science and a practical theory of scientific inquiry, and both aspects are considered in statistics education. Education in statistics has similar concerns as does education in other...
.
Early life
Born on 8 November 1924 in Hannibal, MissouriHannibal, Missouri
Hannibal is a city in Marion and Ralls counties in the U.S. state of Missouri. Hannibal is located at the intersection of Interstate 72 and U.S. Routes 24, 36 and 61, approximately northwest of St. Louis. According to the 2010 U.S. Census the population was 17,606...
, Hogg served three years in the US Navy from 1943 through 1946. In 1947, he graduated from the University of Illinois with a bachelor's degree in mathematics. With the goal of becoming an actuary
Actuary
An actuary is a business professional who deals with the financial impact of risk and uncertainty. Actuaries provide expert assessments of financial security systems, with a focus on their complexity, their mathematics, and their mechanisms ....
, Hogg matriculated at the mathematics department of the University of Iowa
University of Iowa
The University of Iowa is a public state-supported research university located in Iowa City, Iowa, United States. It is the oldest public university in the state. The university is organized into eleven colleges granting undergraduate, graduate, and professional degrees...
(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 theoremBasu's theorem
In statistics, Basu's theorem states that any boundedly complete sufficient statistic is independent of any ancillary statistic. This is a 1955 result of Debabrata Basu....
", a few years before
Stigler's law of eponymy
Stigler's law of eponymy is a process proposed by University of Chicago statistics professor Stephen Stigler in his 1980 publication "Stigler’s law of eponymy". In its simplest and strongest form it says: "No scientific discovery is named after its original discoverer." Stigler named the...
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
Basu's theorem
In statistics, Basu's theorem states that any boundedly complete sufficient statistic is independent of any ancillary statistic. This is a 1955 result of Debabrata Basu....
] 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 familiesExponential family
In probability and statistics, an exponential family is an important class of probability distributions sharing a certain form, specified below. This special form is chosen for mathematical convenience, on account of some useful algebraic properties, as well as for generality, as exponential...
but also for nonparametric probability distributions: In particular, the sufficiency and completeness
Completeness (statistics)
In statistics, completeness is a property of a statistic in relation to a model for a set of observed data. In essence, it is a condition which ensures that the parameters of the probability distribution representing the model can all be estimated on the basis of the statistic: it ensures that the...
of the order statistics from a continuous
Absolute continuity
In mathematics, the relationship between the two central operations of calculus, differentiation and integration, stated by fundamental theorem of calculus in the framework of Riemann integration, is generalized in several directions, using Lebesgue integration and absolute continuity...
distribution
Probability distribution
In probability theory, a probability mass, probability density, or probability distribution is a function that describes the probability of a random variable taking certain values....
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
Godparent
A godparent, in many denominations of Christianity, is someone who sponsors a child's baptism. A male godparent is a godfather, and a female godparent is a godmother...
" to each of Hogg's four children. Indeed, Hogg's son Allen was named
Namesake
Namesake is a term used to characterize a person, place, thing, quality, action, state, or idea that has the same, or a similar, name to another....
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 educationStatistics education
Statistics education is concerned with the teaching and learning of statistics.Statistics is both a formal science and a practical theory of scientific inquiry, and both aspects are considered in statistics education. Education in statistics has similar concerns as does education in other...
in the US.
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
Mathematical Association of America
The Mathematical Association of America is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists;...
(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's 70th birthday was marked by a conference organized by the Institute of Mathematical StatisticsInstitute of Mathematical Statistics
The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. The Institute currently has about 4,000 members in all parts of the world...
, whose proceedings were published as a special issue
Festschrift
In academia, a Festschrift , is a book honoring a respected person, especially an academic, and presented during his or her lifetime. The term, borrowed from German, could be translated as celebration publication or celebratory writing...
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
Gottfried E. Noether
Gottfried Emanuel Noether was an American statistician and educator...
Senior Scholar Award in 2001.
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
American Statistical Association
The American Statistical Association , is the main professional US organization for statisticians and related professions. It was founded in Boston, Massachusetts on November 27, 1839, and is the second oldest, continuously operating professional society in the United States...
(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
Boss Hogg
Jefferson Davis "J.D." Hogg, better known as "Boss" Hogg, is a fictional character featured in the American television series The Dukes of Hazzard. He was the greedy, unethical commissioner of Hazzard County. A stereotypical villainous glutton, Boss Hogg always wore an all-white suit with a white...
" (after the name of a character in the television series The Dukes of Hazzard
The Dukes of Hazzard
The Dukes of Hazzard is an American television series that aired on the CBS television network from 1979 to 1985.The series was inspired by the 1975 film Moonrunners, which was also created by Gy Waldron and had many identical or similar character names and concepts.- Overview :The Dukes of Hazzard...
). Three years after Hogg had served as President, he was awarded the ASA’s Founder’s Award in 1991.
Hogg has also been internationally active on behalf of the statistics profession. Hogg is a Fellow of the Institute of Mathematical Statistics
Institute of Mathematical Statistics
The Institute of Mathematical Statistics is an international professional and scholarly society devoted to the development, dissemination, and application of statistics and probability. The Institute currently has about 4,000 members in all parts of the world...
, which awarded him its Carver
Harry C. Carver
Harry Clyde Carver was an American mathematician and academic, primarily associated with the University of Michigan. He was a major influence in the development of mathematical statistics as an academic discipline....
Medal. Hogg is also an Elected Member of the International Statistical Institute
International Statistical Institute
The International Statistical Institute is a professional association of statisticians. The Institut International de Statistique or International Statistical Institute was founded in 1885 although there had been international congresses from 1853.. The Institute publishes a variety of books and...
.
Textbooks
("Hogg and Craig" was first published in 1959.) | 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.
- Hogg, Robert V. and Ledolter, J. (1992). Applied Statistics for Engineers and Physical Scientists. Macmillan, New York.
Articles
- Hogg, R. V. (1953) Testing the equality of means of rectangular populations. (Abstract). Ann. Math. Stat., 24, 691.
- Hogg, R. V. (1956): On the distribution of the likelihood ratio. Ann. Math. Stat., 27, 529.
Statistics education and the statistics profession
- Robert V. Hogg (1978). An introduction to mathematical statistics. In Studies in Statistics (Robert V. Hogg, ed.) 1-7. Mathematical Association of AmericaMathematical Association of AmericaThe Mathematical Association of America is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists;...
(Washington) - Robert V. Hogg (Ed) (1980). Modern statistics: Methods and applications. Arner. Math. Soc. (Providence)
- Robert V. Hogg (1982). On graduate programs in statistics. In Teach. Statist. and Statist. Consult. (J.S. Rustagi and D.A. Wolfe, ed.) 71-80. Academic (New York)
- Robert V. Hogg and Jim Swift (1982). Statistical education at the school level in the United States and Canada. In Teaching Statistics in Schools Throughout the World (Vic Barnett, ed.) 139-171. Internat. Statist. Inst. (Voorburg, Netherlands)
- Robert V. Hogg (1988). Comments on Harold Hotelling's views on teaching statistics. Statist. Sci. 3 95-97
- Robert V. Hogg (1989). On statistical education in the United States since 1920. In ASA Sesquicentennial Invited Paper Sessions (Mitchell Gail and Norman L. Johnson, eds.) 286-292. Amer. Statist. Assoc. (Alexandria, VA) | jstor = 2289836
- Robert V. Hogg and Mary C. Hogg, Continuous Quality Improvement in Higher Education, International Statistical Review / Revue Internationale de Statistique 63 (1995), no. 1, 35–48.
External links
- Hogg's homepage at the University of Iowa
- "On the History of Statistics and Actuarial Science at The University of Iowa" presented by Robert V. Hogg on October 2, 2003
- Mathematical Genealogy Project information on Hogg
- Hogg at Mathematical ReviewsMathematical ReviewsMathematical Reviews is a journal and online database published by the American Mathematical Society that contains brief synopses of many articles in mathematics, statistics and theoretical computer science.- Reviews :...