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  2. Mathematical statistics - Wikipedia

    en.wikipedia.org/wiki/Mathematical_statistics

    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 ...

  3. Statistics - Wikipedia

    en.wikipedia.org/wiki/Statistics

    Mathematical statistics is the application of mathematics to statistics. Mathematical techniques used for this include mathematical analysis, linear algebra, stochastic analysis, differential equations, and measure-theoretic probability theory. [1] [7] All statistical analyses make use of at least some mathematics, and mathematical statistics ...

  4. Outline of statistics - Wikipedia

    en.wikipedia.org/wiki/Outline_of_statistics

    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 .

  5. Foundations of statistics - Wikipedia

    en.wikipedia.org/wiki/Foundations_of_statistics

    For a concise introduction to the fundamentals of statistics, refer to Stuart, A.; old, J.K. (1994). "Ch. 8 – Probability and statistical inference" in Kendall's Advanced Theory of Statistics, Volume I: Distribution Theory (6th ed.), published by Edward Arnold.

  6. Statistical model - Wikipedia

    en.wikipedia.org/wiki/Statistical_model

    In Bayesian statistics, the model is extended by adding a probability distribution over the parameter space . A statistical model can sometimes distinguish two sets of probability distributions. The first set Q = { F θ : θ ∈ Θ } {\displaystyle {\mathcal {Q}}=\{F_{\theta }:\theta \in \Theta \}} is the set of models considered for inference.

  7. Probability theory - Wikipedia

    en.wikipedia.org/wiki/Probability_theory

    Probability theory or probability calculus is the branch of mathematics concerned with probability.Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms.