Patrick Billingsley
   HOME
*





Patrick Billingsley
Patrick Paul Billingsley (May 3, 1925 – April 22, 2011) was an American mathematician and stage and screen actor, noted for his books in advanced probability theory and statistics. He was born and raised in Sioux Falls, South Dakota, and graduated from the United States Naval Academy in 1946. Academic career After earning a Ph.D. in mathematics at Princeton University in 1955, he was attached to the NSA until his discharge from the Navy in 1957. In 1958 he became a professor of mathematics and statistics at the University of Chicago, where he served as chair of the Department of Statistics from 1980 to 1983, and retired in 1994. In 1964–65 he was a Fulbright Fellow and visiting professor at the University of Copenhagen. In 1971–72 he was a Guggenheim Fellow and visiting professor at the University of Cambridge (Peterhouse). From 1976 to 1979 he edited the Annals of Probability. In 1983 he was president of the Institute of Mathematical Statistics. He was given the Leste ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Sioux Falls, South Dakota
Sioux Falls () is the most populous city in the U.S. state of South Dakota and the 130th-most populous city in the United States. It is the county seat of Minnehaha County and also extends into Lincoln County to the south, which continues up to the Iowa state line. As of 2020, Sioux Falls had a population of 192,517, which was estimated in 2022 to have increased to 202,600. The Sioux Falls metro area accounts for more than 30% of the state's population. Chartered in 1856 on the banks of the Big Sioux River, the city is situated in the rolling hills at the junction of interstates 29 and 90. History The history of Sioux Falls revolves around the cascades of the Big Sioux River. The falls were created about 14,000 years ago during the last ice age. The lure of the falls has been a powerful influence. Ho-Chunk, Ioway, Otoe, Missouri, Omaha (and Ponca at the time), Quapaw, Kansa, Osage, Arikira, Dakota, and Cheyenne people inhabited and settled the region previous to Europea ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Annals Of Probability
The ''Annals of Probability'' is a leading peer-reviewed probability journal published by the Institute of Mathematical Statistics, which is the main international society for researchers in the areas probability and statistics. The journal was started in 1973 as a continuation in part of the '' Annals of Mathematical Statistics'', which was split into the ''Annals of Statistics'' and this journal. In July 2021, the journal was ranked 7th in the field Probability & Statistics with Applications according to Google Scholar. It had an impact factor of 1.470 (as of 2010), according to the ''Journal Citation Reports''. The impact factor for 2018 is 2.085. Its CiteScore is 4.3, and SCImago Journal Rank is 3.184, both from 2020. Editors-in-Chief: Past and Present The following persons have been editor-in-chief of the journal: * Ronald Pyke (1972–1975) * Patrick Billingsley (1976–1978) * Richard M. Dudley (1979–1981) * Thomas M. Liggett (1985–1987) * Peter E. Ney (1988–1990) ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Richard M
Richard is a male given name. It originates, via Old French, from Old Frankish and is a compound of the words descending from Proto-Germanic ''*rīk-'' 'ruler, leader, king' and ''*hardu-'' 'strong, brave, hardy', and it therefore means 'strong in rule'. Nicknames include "Richie", "Dick", "Dickon", " Dickie", " Rich", "Rick", " Rico", " Ricky", and more. Richard is a common English, German and French male name. It's also used in many more languages, particularly Germanic, such as Norwegian, Danish, Swedish, Icelandic, and Dutch, as well as other languages including Irish, Scottish, Welsh and Finnish. Richard is cognate with variants of the name in other European languages, such as the Swedish "Rickard", the Catalan "Ricard" and the Italian "Riccardo", among others (see comprehensive variant list below). People named Richard Multiple people with the same name * Richard Andersen (other) * Richard Anderson (other) * Richard Cartwright (other) ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


Convergence Of Probability Measures
''Convergence of Probability Measures'' is a graduate textbook in the field of mathematical probability theory. It was written by Patrick Billingsley and published by Wiley in 1968. A second edition in 1999 both simplified its treatment of previous topics and updated the book for more recent developments. The Basic Library List Committee of the Mathematical Association of America has recommended its inclusion in undergraduate mathematics libraries. Readers are expected to already be familiar with both the fundamentals of probability theory and the topology of metric spaces. The subject weak convergence of measures involves rigorous study of how a continuous time (or space) stochastic process arises as a scaling limit of a discrete time (or space) process. A fundamental example, Donsker's theorem, is convergence of rescaled random walk to Brownian motion. The mathematical theory, combining probability and functional analysis, was first developed in the 1950s by Skorokhod a ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Norman Maclean
Norman Fitzroy Maclean (December 23, 1902August 2, 1990) was a Scottish-American professor at the University of Chicago who became, following his retirement, a major figure in American literature. Maclean is best known for his collection of novellas '' A River Runs Through It and Other Stories'' (1976) and the creative nonfiction book ''Young Men and Fire'' (1992). Family origins In his novella, ''A River Runs Through It'', Norman Maclean alleged that his paternal ancestors were from the Isle of Mull, in the Inner Hebrides of Scotland. According to his son, however, their paternal ancestors were Gaelic speaking Presbyterians and from the Isle of Coll, which is "located about seven miles west of the Clan MacLean stronghold, the Isle of Mull". The author's great-grandfather, Laughlan Maclean, was a carpenter by trade and emigrated to Cape Breton, Nova Scotia in 1821, before settling on a homestead in Pictou County. Laughlan Maclean was accompanied by his wife, Elizabeth ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Young Men And Fire
''Young Men and Fire'' is a 1992 non-fiction book written by Norman Maclean. It is an account of Norman Maclean's research of the Mann Gulch fire of 1949 and the 13 men who died there. The fire occurred in Mann Gulch in the Gates of the Mountains Wilderness on August 5. The book won the National Book Critics Circle Award (1992). Synopsis Norman Maclean and Laird Robinson, in an attempt to forensically analyze the Mann Gulch Fire, brought together multiple sources, including the official report of the United States Forest Service of the fire, the testimony of the three men who fought the fire and lived, and the research and report of Robert Jansson and Harry T. Gisborne (who would suffer a fatal heart attack at Mann Gulch two months later trying to get to the bottom of the tragedy). On the day of the fire, Jansson was ranger on duty of the Helena National Forest's Canyon Ferry District, the area that included Mann Gulch. Maclean and Robinson also took Walter Rumsey and Robert Sal ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  




Body Politic Theatre
Body may refer to: In science * Physical body, an object in physics that represents a large amount, has mass or takes up space * Body (biology), the physical material of an organism * Body plan, the physical features shared by a group of animals * Human body, the entire structure of a human organism ** Dead body, cadaver, or corpse, a dead human body * (living) matter, see: Mind–body problem, the relationship between mind and matter in philosophy * Aggregates within living matter, such as inclusion bodies In arts and entertainment In film and television * ''Body'' (2015 Polish film), a 2015 Polish film * ''Body'' (2015 American film), a 2015 American film * "Body" (''Wonder Showzen'' episode), a 2006 episode of American sketch comedy television series ''Wonder Showzen'' * "Body", an episode of the Adult Swim television series, ''Off the Air'' In literature and publishing * body text, the text forming the main content of any printed matter * body (typography), the size o ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Court Theatre (Chicago)
Court Theatre is a Tony Award-winning professional theatre company located in the Hyde Park neighborhood of Chicago, Illinois, where it was established in 1955. Court Theatre is affiliated with the University of Chicago, receiving in-kind support from the University and operating within the larger University umbrella. Court Theatre puts on five plays per season, which are attended by over 35,000 people each year, in addition to various smaller performance events such as play readings. History Charles Newell has been Artistic Director since 1994. In 2018, Angel Ysaguirre joined Court Theatre's leadership as executive director. In 2010, Court Theatre established itself as the Center for Classic Theatre at the University of Chicago. As explained on the theatre's website, through this position, Court Theatre is "dedicated to the curation of large-scale, interdisciplinary theatrical experiences". Court Theatre has used the University as a resource in many ways, including through t ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


American Academy Of Arts And Sciences
The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other Founding Fathers of the United States. It is headquartered in Cambridge, Massachusetts. Membership in the academy is achieved through a thorough petition, review, and election process. The academy's quarterly journal, ''Dædalus'', is published by MIT Press on behalf of the academy. The academy also conducts multidisciplinary public policy research. History The Academy was established by the Massachusetts legislature on May 4, 1780, charted in order "to cultivate every art and science which may tend to advance the interest, honor, dignity, and happiness of a free, independent, and virtuous people." The sixty-two incorporating fellows represented varying interests and high standing in the political, professional, and commercial s ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


American Mathematical Monthly
''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an expository journal intended for a wide audience of mathematicians, from undergraduate students to research professionals. Articles are chosen on the basis of their broad interest and reviewed and edited for quality of exposition as well as content. In this the ''American Mathematical Monthly'' fulfills a different role from that of typical mathematical research journals. The ''American Mathematical Monthly'' is the most widely read mathematics journal in the world according to records on JSTOR. Tables of contents with article abstracts from 1997–2010 are availablonline The MAA gives the Lester R. Ford Awards annually to "authors of articles of expository excellence" published in the ''American Mathematical Monthly''. Editors *2022â ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Brownian Motion
Brownian motion, or pedesis (from grc, πήδησις "leaping"), is the random motion of particles suspended in a medium (a liquid or a gas). This pattern of motion typically consists of random fluctuations in a particle's position inside a fluid sub-domain, followed by a relocation to another sub-domain. Each relocation is followed by more fluctuations within the new closed volume. This pattern describes a fluid at thermal equilibrium, defined by a given temperature. Within such a fluid, there exists no preferential direction of flow (as in transport phenomena). More specifically, the fluid's overall linear and angular momenta remain null over time. The kinetic energies of the molecular Brownian motions, together with those of molecular rotations and vibrations, sum up to the caloric component of a fluid's internal energy (the equipartition theorem). This motion is named after the botanist Robert Brown, who first described the phenomenon in 1827, while looking t ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 Ã— 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which alway ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]