stable Pareto distributions
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Geometric stable distribution — Geometric Stable parameters: α ∈ (0,2] stability parameter β ∈ [−1,1] skewness parameter (note that skewness is undefined) λ ∈ (0, ∞) scale parameter μ ∈ (−∞, ∞) location parameter support: x ∈ R, or x ∈ [μ, +∞) if α < 1 and β = 1, or x ∈… … Wikipedia
Multivariate stable distribution — multivariate stable Probability density function Heatmap showing a Multivariate (bivariate) stable distribution with α = 1.1 parameters: exponent shift/location vector … Wikipedia
List of probability distributions — Many probability distributions are so important in theory or applications that they have been given specific names.Discrete distributionsWith finite support* The Bernoulli distribution, which takes value 1 with probability p and value 0 with… … Wikipedia
Exponential family — Not to be confused with the exponential distribution. Natural parameter links here. For the usage of this term in differential geometry, see differential geometry of curves. In probability and statistics, an exponential family is an important… … Wikipedia
Power law — A power law is any polynomial relationship that exhibits the property of scale invariance. The most common power laws relate two variables and have the form:f(x) = ax^k! +o(x^k),where a and k are constants, and o(x^k) is of x. Here, k is… … Wikipedia
Long-tail traffic — This article covers a range of tools from different disciplines that may be used in the important science of determining the probability of rare events. The terms long range dependent , self similar and heavy tailed are very close in meaning.… … Wikipedia
Exponential distribution — Not to be confused with the exponential families of probability distributions. Exponential Probability density function Cumulative distribution function para … 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
Chi-squared distribution — This article is about the mathematics of the chi squared distribution. For its uses in statistics, see chi squared test. For the music group, see Chi2 (band). Probability density function Cumulative distribution function … Wikipedia
Probability distribution — This article is about probability distribution. For generalized functions in mathematical analysis, see Distribution (mathematics). For other uses, see Distribution (disambiguation). In probability theory, a probability mass, probability density … Wikipedia