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Mathematical statistics is the application of probability theory and other mathematical concepts to statistics, as opposed to techniques for collecting statistical data. [1] Specific mathematical techniques that are commonly used in statistics include mathematical analysis , linear algebra , stochastic analysis , differential equations , and ...
Publication data: (1951) Journal of the Royal Statistical Society Series B 13(1):1–45. Description: Introduced Box-Wilson central composite design for fitting a quadratic polynomial in several variables to experimental data, when an initial affine model had failed to yield a direction of ascent.
In statistics, Markov chain Monte Carlo (MCMC) is a class of algorithms used to draw samples from a probability distribution.Given a probability distribution, one can construct a Markov chain whose elements' distribution approximates it – that is, the Markov chain's equilibrium distribution matches the target distribution.
Probability theory is the formalization and study of the mathematics of uncertain events or knowledge. The related field of mathematical statistics develops statistical theory with mathematics. Statistics, the science concerned with collecting and analyzing data, is an autonomous discipline (and not a subdiscipline of applied mathematics).
A thesis as a collection of articles [1] or series of papers, [2] also known as thesis by published works, [1] or article thesis, [3] is a doctoral dissertation that, as opposed to a coherent monograph, is a collection of research papers with an introductory section consisting of summary chapters. Other less used terms are "sandwich thesis" and ...
In statistics, sufficiency is a property of a statistic computed on a sample dataset in relation to a parametric model of the dataset. A sufficient statistic contains all of the information that the dataset provides about the model parameters.
Open educational resources (OER) [1] are teaching, learning, and research materials intentionally created and licensed to be free for the end user to own, share, and in most cases, modify. [2] [3] The term "OER" describes publicly accessible materials and resources for any user to use, re-mix, improve, and redistribute under some licenses. [4]
In statistics, particularly in hypothesis testing, the Hotelling's T-squared distribution (T 2), proposed by Harold Hotelling, [1] is a multivariate probability distribution that is tightly related to the F-distribution and is most notable for arising as the distribution of a set of sample statistics that are natural generalizations of the statistics underlying the Student's t-distribution.