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Sequential analysis

Index Sequential analysis

In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. [1]

43 relations: Abraham Wald, Addison-Wesley, Alan Turing, Applied Mathematics Panel, Banburismus, Bletchley Park, Bonferroni correction, Change detection, Christiaan Huygens, Classified information, Columbia University, David Blackwell, Enigma machine, Estimation, Gambler's ruin, George Alfred Barnard, Haybittle–Peto boundary, Jacob Wolfowitz, John Wiley & Sons, Jones & Bartlett Learning, Kenneth Arrow, Marcel Dekker, Milton Friedman, Null hypothesis, Optimal stopping, PASS Sample Size Software, Peter Armitage, Pocock boundary, Quality control, Sample size determination, Sequential estimation, Sequential probability ratio test, Society for Industrial and Applied Mathematics, Springer Science+Business Media, Statistical hypothesis testing, Statistics, Step detection, Stopping time, Stuart Pocock, Time series, Type I and type II errors, W. Allen Wallis, World War II.

Abraham Wald

Abraham Wald (Hungarian: Wald Ábrahám, –) was an American mathematician who contributed to decision theory, geometry, and econometrics, and founded the field of statistical sequential analysis.

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Addison-Wesley

Addison-Wesley is a publisher of textbooks and computer literature.

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Alan Turing

Alan Mathison Turing (23 June 1912 – 7 June 1954) was an English computer scientist, mathematician, logician, cryptanalyst, philosopher, and theoretical biologist.

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Applied Mathematics Panel

The Applied Mathematics Panel (AMP) was created at the end of 1942 as a division of the National Defense Research Committee (NDRC) within the Office of Scientific Research and Development (OSRD) in order to solve mathematical problems related to the military effort in World War II, particularly those of the other NDRC divisions.

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Banburismus

Banburismus was a cryptanalytic process developed by Alan Turing at Bletchley Park in England during the Second World War.

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Bletchley Park

Bletchley Park was the central site for British (and subsequently, Allied) codebreakers during World War II.

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Bonferroni correction

In statistics, the Bonferroni correction is one of several methods used to counteract the problem of multiple comparisons.

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Change detection

In statistical analysis, change detection or change point detection tries to identify times when the probability distribution of a stochastic process or time series changes.

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Christiaan Huygens

Christiaan Huygens (Hugenius; 14 April 1629 – 8 July 1695) was a Dutch physicist, mathematician, astronomer and inventor, who is widely regarded as one of the greatest scientists of all time and a major figure in the scientific revolution.

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Classified information

Classified information is material that a government body deems to be sensitive information that must be protected.

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Columbia University

Columbia University (Columbia; officially Columbia University in the City of New York), established in 1754, is a private Ivy League research university in Upper Manhattan, New York City.

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David Blackwell

David Harold Blackwell (April 24, 1919 – July 8, 2010) was an American statistician and mathematician who made significant contributions to game theory, probability theory, information theory, and Bayesian statistics.

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Enigma machine

The Enigma machines were a series of electro-mechanical rotor cipher machines developed and used in the early- to mid-20th century to protect commercial, diplomatic and military communication.

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Estimation

Estimation (or estimating) is the process of finding an estimate, or approximation, which is a value that is usable for some purpose even if input data may be incomplete, uncertain, or unstable.

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Gambler's ruin

The term gambler's ruin is a statistical concept expressed in a variety of forms.

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George Alfred Barnard

George Alfred Barnard (23 September 1915 – 9 August 2002) was a British statistician known particularly for his work on the foundations of statistics and on quality control.

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Haybittle–Peto boundary

The Haybittle–Peto boundary is a rule for deciding when to stop a clinical trial prematurely.

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Jacob Wolfowitz

Jacob Wolfowitz (March 19, 1910 – July 16, 1981) was a Polish-born American statistician and Shannon Award-winning information theorist.

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John Wiley & Sons

John Wiley & Sons, Inc., also referred to as Wiley, is a global publishing company that specializes in academic publishing.

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Jones & Bartlett Learning

Jones & Bartlett Learning, a division of Ascend Learning, is a provider of instructional, assessment and learning-performance management solutions for the secondary, post-secondary, and professional markets.

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Kenneth Arrow

Kenneth Joseph "Ken" Arrow (23 August 1921 – 21 February 2017) was an American economist, mathematician, writer, and political theorist.

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Marcel Dekker

Marcel Dekker was a journal and encyclopedia publishing company with editorial boards found in New York, New York.

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Milton Friedman

Milton Friedman (July 31, 1912 – November 16, 2006) was an American economist who received the 1976 Nobel Memorial Prize in Economic Sciences for his research on consumption analysis, monetary history and theory, and the complexity of stabilization policy.

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Null hypothesis

In inferential statistics, the term "null hypothesis" is a general statement or default position that there is no relationship between two measured phenomena, or no association among groups.

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Optimal stopping

In mathematics, the theory of optimal stopping or early stopping is concerned with the problem of choosing a time to take a particular action, in order to maximise an expected reward or minimise an expected cost.

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PASS Sample Size Software

PASS is a computer program for estimating sample size or determining the power of a statistical test or confidence interval.

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Peter Armitage

Peter Armitage CBE (born 15 July 1924) is a statistician specialising in medical statistics.

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Pocock boundary

The Pocock boundary is a method for determining whether to stop a clinical trial prematurely.

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Quality control

Quality control, or QC for short, is a process by which entities review the quality of all factors involved in production.

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Sample size determination

Sample size determination is the act of choosing the number of observations or replicates to include in a statistical sample.

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Sequential estimation

In statistics, sequential estimation refers to estimation methods in sequential analysis where the sample size is not fixed in advance.

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Sequential probability ratio test

The sequential probability ratio test (SPRT) is a specific sequential hypothesis test, developed by Abraham Wald.

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Society for Industrial and Applied Mathematics

The Society for Industrial and Applied Mathematics (SIAM) is an academic association dedicated to the use of mathematics in industry.

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Springer Science+Business Media

Springer Science+Business Media or Springer, part of Springer Nature since 2015, is a global publishing company that publishes books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing.

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Statistical hypothesis testing

A statistical hypothesis, sometimes called confirmatory data analysis, is a hypothesis that is testable on the basis of observing a process that is modeled via a set of random variables.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Step detection

In statistics and signal processing, step detection (also known as step smoothing, step filtering, shift detection, jump detection or edge detection) is the process of finding abrupt changes (steps, jumps, shifts) in the mean level of a time series or signal.

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Stopping time

In probability theory, in particular in the study of stochastic processes, a stopping time (also Markov time) is a specific type of “random time”: a random variable whose value is interpreted as the time at which a given stochastic process exhibits a certain behavior of interest.

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Stuart Pocock

Stuart J. Pocock is a British medical statistician.

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Time series

A time series is a series of data points indexed (or listed or graphed) in time order.

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Type I and type II errors

In statistical hypothesis testing, a type I error is the rejection of a true null hypothesis (also known as a "false positive" finding), while a type II error is failing to reject a false null hypothesis (also known as a "false negative" finding).

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W. Allen Wallis

Wilson Allen Wallis (November 5, 1912 – October 12, 1998) was an American economist and statistician best known for serving as president of the University of Rochester.

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World War II

World War II (often abbreviated to WWII or WW2), also known as the Second World War, was a global war that lasted from 1939 to 1945, although conflicts reflecting the ideological clash between what would become the Allied and Axis blocs began earlier.

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Redirects here:

Sequential hypothesis testing, Sequential sampling, Sequential testing, Statistical sequential analysis.

References

[1] https://en.wikipedia.org/wiki/Sequential_analysis

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