Probability And Statistics
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Probability And Statistics
Probability and statistics are two closely related fields in mathematics that are sometimes combined for academic purposes. They are covered in multiple articles and lists: * Probability * Statistics * Glossary of probability and statistics * Notation in probability and statistics * Timeline of probability and statistics Publications named for both fields include the following: * ''Brazilian Journal of Probability and Statistics Brazilian commonly refers to: * Brazil, a country * Brazilians, its people * Brazilian Portuguese, its dialect Brazilian may also refer to: * "The Brazilian", a 1986 instrumental music piece by Genesis * Brazilian Café, Baghdad, Iraq (1937) * Bra ...'' * '' Counterexamples in Probability and Statistics'' * '' Probability and Mathematical Statistics'' * '' Theory of Probability and Mathematical Statistics'' References {{reflist Probability and statistics Mathematics-related lists ...
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MIT OpenCourseWare
MIT OpenCourseWare (MIT OCW) is an initiative of the Massachusetts Institute of Technology (MIT) to publish all of the educational materials from its undergraduate- and graduate-level courses online, freely and openly available to anyone, anywhere. The project was announced on April 4, 2001, and uses the Creative Commons Attribution-NonCommercial-ShareAlike license. The program was originally funded by the William and Flora Hewlett Foundation, the Andrew W. Mellon Foundation, and MIT. MIT OpenCourseWare is supported by MIT, corporate underwriting, major gifts, and donations from site visitors. The initiative inspired a number of other institutions to make their course materials available as open educational resources. As of May 2018, over 2,400 courses were available online. While a few of these were limited to chronological reading lists and discussion topics, a majority provided homework problems and exams (often with solutions) and lecture notes. Some courses also included ...
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Probability
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th ed., (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', vol. 1, 3rd ed., (1968), Wiley, . This number is often expressed as a percentage (%), ranging from 0% to 100%. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%). These concepts have been given an axiomatic mathematical formaliza ...
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Statistics
Statistics (from German language, German: ', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of statistical survey, surveys and experimental design, experiments. When census data (comprising every member of the target population) cannot be collected, statisticians collect data by developing specific experiment designs and survey sample (statistics), samples. Representative sampling assures that inferences and conclusions can reasonably extend from the sample ...
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Glossary Of Probability And Statistics
This glossary of statistics and probability is a list of definitions of terms and concepts used in the mathematical sciences of statistics and probability, their sub-disciplines, and related fields. For additional related terms, see Glossary of mathematics and Glossary of experimental design. A B C D E F G H I J K L M N O P Q R S T ...
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Notation In Probability And Statistics
Probability theory and statistics have some commonly used conventions, in addition to standard mathematical notation and mathematical symbols. Probability theory * Random variables are usually written in upper case Roman letters, such as X or Y and so on. Random variables, in this context, usually refer to something in words, such as "the height of a subject" for a continuous variable, or "the number of cars in the school car park" for a discrete variable, or "the colour of the next bicycle" for a categorical variable. They do not represent a single number or a single category. For instance, if P(X = x) is written, then it represents the probability that a particular realisation of a random variable (e.g., height, number of cars, or bicycle colour), ''X'', would be equal to a particular value or category (e.g., 1.735 m, 52, or purple), x. It is important that X and x are not confused into meaning the same thing. X is an idea, x is a value. Clearly they are related, but they do n ...
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Timeline Of Probability And Statistics
The following is a timeline of probability and statistics. Before 1600 *8th century – Al-Khalil, an Arab mathematician studying cryptology, wrote the ''Book of Cryptographic Messages''. The work has been lost, but based on the reports of later authors, it contained the first use of permutations and combinations to list all possible Arabic words with and without vowels. * 9th century - Al-Kindi was the first to use frequency analysis to decipher encrypted messages and developed the first code breaking algorithm. He wrote a book entitled ''Manuscript on Deciphering Cryptographic Messages'', containing detailed discussions on statistics and cryptanalysis.Ibrahim A. Al-Kadi "The origins of cryptology: The Arab contributions", ''Cryptologia'', 16(2) (April 1992) pp. 97–126. Al-Kindi also made the earliest known use of statistical inference. * 13th century – An important contribution of Ibn Adlan was on sample size for use of frequency analysis. * 13th century – the first kno ...
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Brazilian Journal Of Probability And Statistics
Brazilian commonly refers to: * Brazil, a country * Brazilians, its people * Brazilian Portuguese, its dialect Brazilian may also refer to: * "The Brazilian", a 1986 instrumental music piece by Genesis * Brazilian Café, Baghdad, Iraq (1937) * Brazilian cuisine ** Churrasco, or Brazilian barbecue * Brazilian-cut bikini, a swimsuit revealing the buttocks * Brazilian waxing, a style of pubic hair removal * Mamelodi Sundowns F.C., a South African football club nicknamed ''The Brazilians'' See also * Brazil (other) * ''Brasileiro ''Brasileiro'' is a 1992 album by Sérgio Mendes and other artists including Carlinhos Brown which won the 1993 Grammy Award for Best World Music Album. It marked Mendes's return to Elektra Records since 1979's ''Magic Lady'' with Brasil '8 ...'', a 1992 album by Sergio Mendes * Brazilian jiu-jitsu, a martial art and combat sport system * Culture of Brazil * Football in Brazil {{Disambiguation Language and nationality disambiguation p ...
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Counterexamples In Probability And Statistics
''Counterexamples in Probability and Statistics'' is a mathematics book by Joseph P. Romano and Andrew F. Siegel. It began as Romano's senior thesis at Princeton University under Siegel's supervision, and was intended for use as a supplemental work to augment standard textbooks on statistics and probability theory. Reception R. D. Lee gave the book a strong recommendation despite certain reservations, particularly that the organization of the book was intimidating to a large fraction of its potential audience: "There are plenty of good teachers of A-level statistics who know little or nothing about σ-fields or Borel subsets, the subjects of the first 3 or 4 pages." Reviewing new books for ''Mathematics Magazine,'' Paul J. Campbell called Romano and Siegel's work "long overdue" and quipped, "it's too bad we can't count on more senior professionals to compile such useful handbooks." Eric R. Ziegel's review in ''Technometrics'' was unenthusiastic, saying that the book was "only for ...
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Probability And Mathematical Statistics
''Probability and Mathematical Statistics'' is a peer-reviewed scientific journal covering mathematical aspects of the probability theory. It was founded in 1980 as the initiative of the Wrocław probability community led by Kazimierz Urbanik and Czesław Ryll-Nardzewski, and statistics community represented by ''Witold Klonecki''. They served as editors of the journal during the first twenty-five years of its existence, with Kazimierz Urbanik shouldering the role of the editor-in-chief. Beginning with 2007, Probability and Mathematical Statistics became an affiliated journal of the Institute of Mathematical Statistics. PMS (ISSN 0208-4147) is indexed by Scopus, MathSciNet, Index Copernicus and Journal Citation Reports (IF=0.617). PMS is an open-access journal. External links * * BazTech * SCIMAGO Abstracting and indexing The journal is abstracted and indexed in * '' JCR'' *MathSciNet *Zentralblatt MATH * SCOPUS References {{Reflist Probability journals Academic ...
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Theory Of Probability And Mathematical Statistics
''Theory of Probability and Mathematical Statistics'' is a peer-reviewed international scientific journal published by Taras Shevchenko National University of Kyiv jointly with the American Mathematical Society two times per year in both print and electronic formats. The subjects covered by the journal are probability theory, mathematical statistics, random processes and fields, statistics of random processes and fields, random operators, stochastic differential equations, stochastic analysis, queuing theory, reliability theory, risk processes, financial and actuarial mathematics. The editor-in-chief is Yuliya Mishura (Ukraine). Abstracting and indexing The journal is abstracted and indexed in the Emerging Sources Citation Index, Mathematical Reviews, Scopus Scopus is a scientific abstract and citation database, launched by the academic publisher Elsevier as a competitor to older Web of Science in 2004. The ensuing competition between the two databases has been characte ...
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Probability And Statistics
Probability and statistics are two closely related fields in mathematics that are sometimes combined for academic purposes. They are covered in multiple articles and lists: * Probability * Statistics * Glossary of probability and statistics * Notation in probability and statistics * Timeline of probability and statistics Publications named for both fields include the following: * ''Brazilian Journal of Probability and Statistics Brazilian commonly refers to: * Brazil, a country * Brazilians, its people * Brazilian Portuguese, its dialect Brazilian may also refer to: * "The Brazilian", a 1986 instrumental music piece by Genesis * Brazilian Café, Baghdad, Iraq (1937) * Bra ...'' * '' Counterexamples in Probability and Statistics'' * '' Probability and Mathematical Statistics'' * '' Theory of Probability and Mathematical Statistics'' References {{reflist Probability and statistics Mathematics-related lists ...
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