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empirical function

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  • 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 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

  • 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

  • Empirical orthogonal functions — In statistics and signal processing, the method of empirical orthogonal function (EOF) analysis is a decomposition of a signal or data set in terms of orthogonal basis functions which are determined from the data. It is the same as performing a… …   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

  • Initial mass function — The initial mass function (IMF) is an empirical function that describes the mass distribution (the histogram of stellar masses) of a population of stars in terms of their theoretical initial mass (the mass they were formed with). The properties… …   Wikipedia

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

  • Production function — Graph of Total, Average, and Marginal Product In microeconomics and macroeconomics, a production function is a function that specifies the output of a firm, an industry, or an entire economy for all combinations of inputs. This function is an… …   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

  • Polynomial and rational function modeling — In statistical modeling (especially process modeling), polynomial functions and rational functions are sometimes used as an empirical technique for curve fitting.Polynomial function modelsA polynomial function is one that has the form:y = a… …   Wikipedia

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