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empirical distribution function

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  • Empirical distribution function — In statistics, an empirical distribution function is a cumulative probability distribution function that concentrates probability 1/ n at each of the n numbers in a sample.Let X 1,ldots,X n be iid random variables in mathbb{R} with the cdf F ( x… …   Wikipedia

  • Cumulative distribution function — for the normal distributions in the image below …   Wikipedia

  • Empirical probability — Empirical probability, also known as relative frequency, or experimental probability, is the ratio of the number favourable outcomes to the total number of trials [ [http://www.answers.com/topic/empirical probability statistics Empirical… …   Wikipedia

  • Empirical measure — In probability theory, an empirical measure is a random measure arising from a particular realization of a (usually finite) sequence of random variables. The precise definition is found below. Empirical measures are relevant to mathematical… …   Wikipedia

  • Empirical process — The study of empirical processes is a branch of mathematical statistics and a sub area of probability theory. It is a generalization of the central limit theorem for empirical measures. DefinitionIt is known that under certain conditions… …   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

  • Distribution (economics) — Distribution in economics refers to the way total output, income, or wealth is distributed among individuals or among the factors of production (such as labour, land, and capital).[1]. In general theory and the national income and product… …   Wikipedia

  • Empirical Bayes method — In statistics, empirical Bayes methods are a class of methods which use empirical data to evaluate / approximate the conditional probability distributions that arise from Bayes theorem. These methods allow one to estimate quantities… …   Wikipedia

  • Multivariate normal distribution — MVN redirects here. For the airport with that IATA code, see Mount Vernon Airport. Probability density function Many samples from a multivariate (bivariate) Gaussian distribution centered at (1,3) with a standard deviation of 3 in roughly the… …   Wikipedia

  • Characteristic function (probability theory) — The characteristic function of a uniform U(–1,1) random variable. This function is real valued because it corresponds to a random variable that is symmetric around the origin; however in general case characteristic functions may be complex valued …   Wikipedia

  • Stretched exponential function — Figure 1. Illustration of a stretched exponential fit (with β=0.52) to an empirical master curve. For comparison, a least squares single and a double exponential fit are also shown. The data are rotational anisotropy of anthracene in… …   Wikipedia

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