Mathematical statistics

Not to be confused with Mathematics and statistics, Mathematics, or Statistics.
Illustration of linear regression on a data set. Regression analysis is an important part of mathematical statistics.
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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]

  1. ^ Kannan, D.; Lakshmikantham, V., eds. (2002). Handbook of stochastic analysis and applications. New York: M. Dekker. ISBN 0824706609.
  2. ^ Schervish, Mark J. (1995). Theory of statistics (Corr. 2nd print. ed.). New York: Springer. ISBN 0387945466.