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convergence to normality

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  • Berry–Esséen theorem — The central limit theorem in probability theory and statistics states that under certain circumstances the sample mean, considered as a random quantity, becomes more normally distributed as the sample size is increased. The Berry–Esseen theorem,… …   Wikipedia

  • Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… …   Wikipedia

  • Normal distribution — This article is about the univariate normal distribution. For normally distributed vectors, see Multivariate normal distribution. Probability density function The red line is the standard normal distribution Cumulative distribution function …   Wikipedia

  • Maximum likelihood — In statistics, maximum likelihood estimation (MLE) is a method of estimating the parameters of a statistical model. When applied to a data set and given a statistical model, maximum likelihood estimation provides estimates for the model s… …   Wikipedia

  • D'Agostino's K-squared test — In statistics, D’Agostino’s K2 test is a goodness of fit measure of departure from normality, that is the test aims to establish whether or not the given sample comes from a normally distributed population. The test is based on transformations of …   Wikipedia

  • Normal family — In mathematics, with special application to complex analysis, a normal family is a pre compact family of continuous functions. Informally, this means that the functions in the family are not exceedingly numerous or widely spread out; rather, they …   Wikipedia

  • Approximations of π — Timeline of approximations for pi …   Wikipedia

  • Generalized minimal residual method — In mathematics, the generalized minimal residual method (usually abbreviated GMRES) is an iterative method for the numerical solution of a system of linear equations. The method approximates the solution by the vector in a Krylov subspace with… …   Wikipedia

  • Kolmogorov-Smirnov test — In statistics, the Kolmogorov ndash;Smirnov test (also called the K S test for brevity) is a form of minimum distance estimation used as a nonparametric test of equality of one dimensional probability distributions used to compare a sample with a …   Wikipedia

  • Pi — This article is about the number. For the Greek letter, see Pi (letter). For other uses, see Pi (disambiguation). The circumference of a ci …   Wikipedia

  • Nombre normal —  Pour l’article homonyme, voir nombre normal (informatique) (en), i.e. nombre qui est dans un intervalle normal de format en virgule flottante.  En mathématiques, un nombre normal est un nombre réel tel que la fréquence d… …   Wikipédia en Français

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