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The notable unsolved problems in statistics are generally of a different flavor; according to John Tukey, [1] "difficulties in identifying problems have delayed statistics far more than difficulties in solving problems." A list of "one or two open problems" (in fact 22 of them) was given by David Cox. [2]
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".
List of unsolved problems in statistics; Probability. Topic outline of probability; List of probability topics. Catalog of articles in probability theory;
The secretary problem demonstrates a scenario involving optimal stopping theory [1] [2] that is studied extensively in the fields of applied probability, statistics, and decision theory. It is also known as the marriage problem , the sultan's dowry problem , the fussy suitor problem , the googol game , and the best choice problem .
The theory of statistics provides a basis for the whole range of techniques, in both study design and data analysis, that are used within applications of statistics. [1] [2] The theory covers approaches to statistical-decision problems and to statistical inference, and the actions and deductions that satisfy the basic principles stated for these different approaches.
The Behrens–Fisher distribution, which arises in the Behrens–Fisher problem. The Cauchy distribution , an example of a distribution which does not have an expected value or a variance . In physics it is usually called a Lorentzian profile , and is associated with many processes, including resonance energy distribution, impact and natural ...
Dantzig is known for his development of the simplex algorithm, [1] an algorithm for solving linear programming problems, and for his other work with linear programming. In statistics, Dantzig solved two open problems in statistical theory, which he had mistaken for homework after arriving late to a lecture by Jerzy Spława-Neyman. [2]
List of basic statistics topics – redirects to Outline of statistics; ... Moments, method of – see method of moments (statistics) Moment problem;
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