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Statistics is the mathematical science involving the collection, analysis and interpretation of data. A number of specialties have evolved to apply statistical and methods to various disciplines. Certain topics have "statistical" in their name but relate to manipulations of probability distributions rather than to statistical analysis.
Statistics is a mathematical body of science that pertains to the collection, analysis, interpretation or explanation, and presentation of data, [8] or as a branch of mathematics. [9] Some consider statistics to be a distinct mathematical science rather than a branch of mathematics. While many scientific investigations make use of data ...
Mathematical statistics is the application of probability theory, a branch of mathematics, to statistics, as opposed to techniques for collecting statistical data. Specific mathematical techniques which are used for this include mathematical analysis, linear algebra, stochastic analysis, differential equations, and measure theory. [1] [2]
Statistical theory. 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 ...
t. e. Statistical inference is the process of using data analysis to infer properties of an underlying distribution of probability. [1] Inferential statistical analysis infers properties of a population, for example by testing hypotheses and deriving estimates. It is assumed that the observed data set is sampled from a larger population.
This single number describes the general performance of a student across the range of their course experiences. The use of descriptive and summary statistics has an extensive history and, indeed, the simple tabulation of populations and of economic data was the first way the topic of statistics appeared.
The zeta distribution has uses in applied statistics and statistical mechanics, and perhaps may be of interest to number theorists. It is the Zipf distribution for an infinite number of elements. The Hardy distribution, which describes the probabilities of the hole scores for a given golf player. Absolutely continuous distributions
List of analyses of categorical data. List of fields of application of statistics. List of graphical methods. List of statistical software. Comparison of statistical packages. List of graphing software. Comparison of Gaussian process software. List of stochastic processes topics. List of matrices used in statistics.