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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.
Importance: Made measure-theoretic probability the standard language for advanced statistics in the English-speaking world, following its earlier adoption in France and the USSR. Statistical Decision Functions. Author: Abraham Wald Publication data: 1950. John Wiley & Sons. Description: Exposition of statistical decision theory as a foundations ...
A typical "Business Statistics" course is intended for business majors, and covers [71] descriptive statistics (collection, description, analysis, and summary of data), probability (typically the binomial and normal distributions), test of hypotheses and confidence intervals, linear regression, and correlation; (follow-on) courses may include ...
Statistical range – see range (statistics) Statistical regularity; Statistical relational learning; Statistical sample; Statistical semantics; Statistical shape analysis; Statistical signal processing; Statistical significance; Statistical survey; Statistical syllogism; Statistical theory; Statistical unit
S. R. De Groot, P. Mazur (2011) Non-Equilibrium Thermodynamics, Dover Books on Physics, ISBN 978-0486647418. Van Vliet, Carolyne M. (2008). Equilibrium and Non-equilibrium Statistical Mechanics. World Scientific Publishing Company. p. 982. ISBN 978-981-270-477-1. Peliti, Luca (2011). Statistical Mechanics in a Nutshell. Princeton University ...
Bayesian statistics (/ ˈ b eɪ z i ə n / BAY-zee-ən or / ˈ b eɪ ʒ ən / BAY-zhən) [1] is a theory in the field of statistics based on the Bayesian interpretation of probability, where probability expresses a degree of belief in an event. The degree of belief may be based on prior knowledge about the event, such as the results of previous ...
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Statistics is a field of inquiry that studies the collection, analysis, interpretation, and presentation of data. It is applicable to a wide variety of academic disciplines , from the physical and social sciences to the humanities ; it is also used and misused for making informed decisions in all areas of business and government .