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  • Probability-generating function — In probability theory, the probability generating function of a discrete random variable is a power series representation (the generating function) of the probability mass function of the random variable. Probability generating functions are… …   Wikipedia

  • Generating function — This article is about generating functions in mathematics. For generating functions in classical mechanics, see Generating function (physics). For signalling molecule, see Epidermal growth factor. In mathematics, a generating function is a formal …   Wikipedia

  • Examples of generating functions — The following examples are in the spirit of George Pólya, who advocated learning mathematics by doing and re capitulating as many examples and proofs as possible. The purpose of this article is to present common tricks of the trade in context, so …   Wikipedia

  • Regression toward the mean — In statistics, regression toward the mean (also known as regression to the mean) is the phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on a second measurement, and a fact that may… …   Wikipedia

  • Copula (probability theory) — In probability theory and statistics, a copula can be used to describe the dependence between random variables. Copulas derive their name from linguistics. The cumulative distribution function of a random vector can be written in terms of… …   Wikipedia

  • Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… …   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

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • von Mises distribution — von Mises Probability density function The support is chosen to be [ π,π] with μ=0 Cumulative distribution function The support is chosen to be [ π,π] with μ=0 …   Wikipedia

  • Correlation and dependence — This article is about correlation and dependence in statistical data. For other uses, see correlation (disambiguation). In statistics, dependence refers to any statistical relationship between two random variables or two sets of data. Correlation …   Wikipedia

  • Dirac comb — A Dirac comb is an infinite series of Dirac delta functions spaced at intervals of T In mathematics, a Dirac comb (also known as an impulse train and sampling function in electrical engineering) is a periodic Schwartz distribution constructed… …   Wikipedia

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