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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]
Mathematical statistics. Mathematical Methods of Statistics. Publication data: Princeton Mathematical Series, vol. 9. Princeton University Press, Princeton, N. J., 1946. xvi+575 pp. (A first version was published by Almqvist & Wiksell in Uppsala, Sweden, but had little circulation because of World War II.)
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.
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 ...
Statist. 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 ...
The Canadian Journal of Statistics. Communications in Statistics. International Statistical Review. Journal of the American Statistical Association. Journal of Multivariate Analysis. Journal of the Royal Statistical Society. Probability and Mathematical Statistics. Sankhyā: The Indian Journal of Statistics. Scandinavian Journal of Statistics.
Journal of Number Theory. Journal of Online Mathematics and its Applications. Journal of Physics A. Journal of Recreational Mathematics. Journal of Statistical Mechanics: Theory and Experiment. Journal of Symbolic Computation. Journal of Symbolic Logic. Journal of the American Mathematical Society.
Annals of Statistics. Ann. Statist. The Annals of Statistics is a peer-reviewed statistics journal published by the Institute of Mathematical Statistics. It was started in 1973 as a continuation in part of the Annals of Mathematical Statistics (1930), which was split into the Annals of Statistics and the Annals of Probability. [ 1]