quantile function
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Quantile function — See also quantile. In probability theory, a quantile function of a probability distribution is the inverse F −1 of its cumulative distribution function (cdf) F . Assuming a continuous and strictly monotonic distribution function, scriptstyle… … Wikipedia
Quantile — Quantiles are points taken at regular intervals from the cumulative distribution function of a random variable. Dividing ordered data into q essentially equal sized data subsets is the motivation for q quantiles; the quantiles are the data values … Wikipedia
quantile — The argument of the cumulative distribution function corresponding to a specified probability; (of a sample) the value below which occur a specified proportion of the observations in the ordered set of observations … Dictionary of automotive terms
Cumulative distribution function — for the normal distributions in the image below … Wikipedia
Error function — Plot of the error function In mathematics, the error function (also called the Gauss error function) is a special function (non elementary) of sigmoid shape which occurs in probability, statistics and partial differential equations. It is defined … 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
Probability density function — Boxplot and probability density function of a normal distribution N(0, σ2). In probability theory, a probability density function (pdf), or density of a continuous random variable is a function that describes the relative likelihood for this… … Wikipedia
Moment-generating function — In probability theory and statistics, the moment generating function of any random variable is an alternative definition of its probability distribution. Thus, it provides the basis of an alternative route to analytical results compared with… … Wikipedia
Q-Q plot — Not to be confused with P P plot. A normal Q Q plot of randomly generated, independent standard exponential data, (X Exp(1)). This Q Q plot compares a sample of data on the vertical axis to a statistical population on the horizontal… … 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
Cauchy distribution — Not to be confused with Lorenz curve. Cauchy–Lorentz Probability density function The purple curve is the standard Cauchy distribution Cumulative distribution function … Wikipedia
