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Arif Zaman
Arif Zaman is a Pakistani mathematician, academic scientist, and a retired professor of Statistics and Mathematics from Syed Babar Ali School of Science and Engineering, Lahore University of Management Sciences (LUMS), Lahore, Pakistan. Before joining LUMS in 1994, he also served in the Statistics Department at Purdue University and at Florida State University. Zaman attended Harvey Mudd College, where he completed his B.S. in Mathematics in 1976. He received an M.A. in Applied Mathematics in 1977 at the Claremont Graduate School, and his PhD in Statistics at Stanford University in 1981. In his doctoral thesis, he studied de Finetti's theorem and its possible turn out in Markov chain. His dissertation was supervised by Persi Diaconis Persi Warren Diaconis (; born January 31, 1945) is an American mathematician of Greek descent and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University. He is particularl ...
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United States
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 U.S. state, states, a Washington, D.C., federal district, five major unincorporated territories, nine United States Minor Outlying Islands, Minor Outlying Islands, and 326 Indian reservations. The United States is also in Compact of Free Association, free association with three Oceania, Pacific Island Sovereign state, sovereign states: the Federated States of Micronesia, the Marshall Islands, and the Palau, Republic of Palau. It is the world's List of countries and dependencies by area, third-largest country by both land and total area. It shares land borders Canada–United States border, with Canada to its north and Mexico–United States border, with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations. With a population of over 333 million, it is the List of ...
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Bachelor Of Science
A Bachelor of Science (BS, BSc, SB, or ScB; from the Latin ') is a bachelor's degree awarded for programs that generally last three to five years. The first university to admit a student to the degree of Bachelor of Science was the University of London in 1860. In the United States, the Lawrence Scientific School first conferred the degree in 1851, followed by the University of Michigan in 1855. Nathaniel Southgate Shaler, who was Harvard's Dean of Sciences, wrote in a private letter that "the degree of Bachelor of Science came to be introduced into our system through the influence of Louis Agassiz, who had much to do in shaping the plans of this School." Whether Bachelor of Science or Bachelor of Arts degrees are awarded in particular subjects varies between universities. For example, an economics student may graduate as a Bachelor of Arts in one university but as a Bachelor of Science in another, and occasionally, both options are offered. Some universities follow the Oxfor ...
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Lahore University Of Management Sciences Faculty
Lahore ( ; pnb, ; ur, ) is the second most populous city in Pakistan after Karachi and 26th most populous city in the world, with a population of over 13 million. It is the capital of the province of Punjab where it is the largest city. Lahore is one of Pakistan's major industrial and economic hubs, with an estimated GDP ( PPP) of $84 billion as of 2019. It is the largest city as well as the historic capital and cultural centre of the wider Punjab region,Lahore Cantonment
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and is one of Pakistan's most ,

Harvey Mudd College Alumni
Harvey, Harveys or Harvey's may refer to: Arts, entertainment, and media * ''Harvey'' (play), a 1944 play by Mary Chase about a man befriended by an invisible anthropomorphic rabbit * Harvey Awards ("Harveys"), one of the most important awards in American comic industry, founded in 1988 * "Harvey", a song by Her's off the album '' Invitation to Her's'', 2018 Films * ''Harvey'' (1950 film), a 1950 film adapted from Mary Chase's play, starring James Stewart * ''Harvey'' (1996 film), a 1996 American made-for-television film * ''Harvey'' (Hallmark), a 1972 adaptation of Mary Chase's play for the ''Hallmark Hall of Fame'' Characters * Harvey (''Farscape''), a character in the TV show ''Farscape'' * Harvey, a crane engine in '' Thomas & Friends'' * Harvey Beaks, in the Nickelodeon animated series '' Harvey Beaks'' * Harvey Birdman, title character from the teen-adult animated series '' Harvey Birdman, Attorney at Law'' * Harvey Dent, fictional District Attorney and supervill ...
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Florida State University Faculty
Florida is a state located in the Southeastern region of the United States. Florida is bordered to the west by the Gulf of Mexico, to the northwest by Alabama, to the north by Georgia, to the east by the Bahamas and Atlantic Ocean, and to the south by the Straits of Florida and Cuba; it is the only state that borders both the Gulf of Mexico and the Atlantic Ocean. Spanning , Florida ranks 22nd in area among the 50 states, and with a population of over 21 million, it is the third-most populous. The state capital is Tallahassee, and the most populous city is Jacksonville. The Miami metropolitan area, with a population of almost 6.2 million, is the most populous urban area in Florida and the ninth-most populous in the United States; other urban conurbations with over one million people are Tampa Bay, Orlando, and Jacksonville. Various Native American groups have inhabited Florida for at least 14,000 years. In 1513, Spanish explorer Juan Ponce de León became the first known ...
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Claremont Graduate University Alumni
Claremont may refer to: Places Australia *Claremont, Ipswich, a heritage-listed house in Queensland * Claremont, Tasmania, a suburb of Hobart * Claremont, Western Australia, a suburb of Perth ** Claremont Football Club, West Australian Football League ** Claremont Oval, home stadium for Claremont Football Club * Claremont Airbase, aerial firefighting base near Brukunga, South Australia Canada * Claremont, Ontario Ireland * Claremount, County Westmeath Jamaica * Claremont, Jamaica South Africa * Claremont, Cape Town * Claremont, a suburb in the western side of Pretoria United Kingdom * Claremont (country house), a stately house in Surrey * Claremont, Salford, Greater Manchester * Claremont (ward), electoral ward for Claremont, Salford United States * Claremont, California * Claremont, Oakland/Berkeley, California, a neighborhood in two adjoining cities * Claremont, Illinois * Claremont, Minnesota * Claremont, Mississippi * Claremont (Port Gibson, Missi ...
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21st-century Pakistani Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, ...
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Annals Of Applied Probability
'' The Annals of Applied Probability'' is a leading peer-reviewed mathematics journal published by the Institute of Mathematical Statistics, which is the main international society for researchers in probability and statistics. The journal was established in 1991 by founding editor J. Michael Steele and is indexed by ''Mathematical Reviews'' and Zentralblatt MATH. Its 2009 MCQ was 1.02. Its impact factor (measured by JCR/ISI-Thomson) evolved from 1.454 in 2014 to 1.786 in 2017. The journal CiteScore is 3.2 and its SCImago Journal Rank is 1.878, both from 2020. It is currently ranked 9th in the field of Probability & Statistics with Applications according to Google Scholar Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines. Released in beta in November 2004, the Google Scholar index includes p .... References External links * Probability journals Pu ...
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Markov Chain
A Markov chain or Markov process is a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, "What happens next depends only on the state of affairs ''now''." A countably infinite sequence, in which the chain moves state at discrete time steps, gives a discrete-time Markov chain (DTMC). A continuous-time process is called a continuous-time Markov chain (CTMC). It is named after the Russian mathematician Andrey Markov. Markov chains have many applications as statistical models of real-world processes, such as studying cruise control systems in motor vehicles, queues or lines of customers arriving at an airport, currency exchange rates and animal population dynamics. Markov processes are the basis for general stochastic simulation methods known as Markov chain Monte Carlo, which are used for simulating sampling from complex probability ...
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De Finetti's Theorem
In probability theory, de Finetti's theorem states that exchangeable observations are conditionally independent relative to some latent variable. An epistemic probability distribution could then be assigned to this variable. It is named in honor of Bruno de Finetti. For the special case of an exchangeable sequence of Bernoulli random variables it states that such a sequence is a " mixture" of sequences of independent and identically distributed (i.i.d.) Bernoulli random variables. A sequence of random variables is called exchangeable if the joint distribution of the sequence is unchanged by any permutation of the indices. While the variables of the exchangeable sequence are not ''themselves'' independent, only exchangeable, there is an ''underlying'' family of i.i.d. random variables. That is, there are underlying, generally unobservable, quantities that are i.i.d. – exchangeable sequences are mixtures of i.i.d. sequences. Background A Bayesian statistician often seeks t ...
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Doctor Of Philosophy
A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is an earned research degree, those studying for a PhD are required to produce original research that expands the boundaries of knowledge, normally in the form of a dissertation, and defend their work before a panel of other experts in the field. The completion of a PhD is often a requirement for employment as a university professor, researcher, or scientist in many fields. Individuals who have earned a Doctor of Philosophy degree may, in many jurisdictions, use the title '' Doctor'' (often abbreviated "Dr" or "Dr.") with their name, although the proper etiquette associated with this usage may also be subject to the professional ethics of their own scholarly field, culture, or society. Those who teach at universities or work in academic, e ...
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