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- Stable_distribution abstract "In probability theory, a random variable is said to be stable (or to have a stable distribution) if it has the property that a linear combination of two independent copies of the variable has the same distribution, up to location and scale parameters. The stable distribution family is also sometimes referred to as the Lévy alpha-stable distribution.The importance of stable probability distributions is that they are "attractors" for properly normed sums of independent and identically-distributed (iid) random variables. The normal distribution is one family of stable distributions. By the classical central limit theorem the properly normed sum of a set of random variables, each with finite variance, will tend towards a normal distribution as the number of variables increases. Without the finite variance assumption the limit may be a stable distribution. Stable distributions that are non-normal are often called stable Paretian distributions,[citation needed] after Vilfredo Pareto.q-analogs of all symmetric stable distributions have been defined, and these recover the usual symmetric stable distributions in the limit of q → 1.".
- Stable_distribution thumbnail Levy_distributionPDF.png?width=300.
- Stable_distribution wikiPageExternalLink chap1.pdf.
- Stable_distribution wikiPageExternalLink stable.html.
- Stable_distribution wikiPageExternalLink StrictlyStableRandomVariable.html.
- Stable_distribution wikiPageExternalLink Overview.html.
- Stable_distribution wikiPageID "1117869".
- Stable_distribution wikiPageRevisionID "605210493".
- Stable_distribution cdf "not analytically expressible, except for certain parameter values".
- Stable_distribution cdfImage "(CDFs for skewed centered stable distributions)".
- Stable_distribution cdfImage "325".
- Stable_distribution cdfImage "CDFs for symmetric α-stable distributions".
- Stable_distribution char "where".
- Stable_distribution entropy "not analytically expressible, except for certain parameter values".
- Stable_distribution hasPhotoCollection Stable_distribution.
- Stable_distribution kurtosis "0".
- Stable_distribution mean "μ when , otherwise undefined".
- Stable_distribution median "μ when , otherwise not analytically expressible".
- Stable_distribution mgf "undefined".
- Stable_distribution mode "μ when , otherwise not analytically expressible".
- Stable_distribution name "Stable".
- Stable_distribution parameters "α ∈".
- Stable_distribution pdf "not analytically expressible, except for some parameter values".
- Stable_distribution pdfImage "(Skewed centered stable distributions with unit scale factor)".
- Stable_distribution pdfImage "(Symmetric α-stable distributions with unit scale factor)".
- Stable_distribution pdfImage "325".
- Stable_distribution skewness "0".
- Stable_distribution support "x ∈ R, or x ∈ [μ, +∞) if α < 1 and , or x ∈".
- Stable_distribution type "continuous".
- Stable_distribution variance "2".
- Stable_distribution subject Category:Continuous_distributions.
- Stable_distribution subject Category:Power_laws.
- Stable_distribution subject Category:Probability_distributions.
- Stable_distribution subject Category:Probability_distributions_with_non-finite_variance.
- Stable_distribution subject Category:Stable_distributions.
- Stable_distribution type Abstraction100002137.
- Stable_distribution type Arrangement105726596.
- Stable_distribution type Cognition100023271.
- Stable_distribution type ContinuousDistributions.
- Stable_distribution type Distribution105729036.
- Stable_distribution type ProbabilityDistributionsWithNon-finiteVariance.
- Stable_distribution type PsychologicalFeature100023100.
- Stable_distribution type Structure105726345.
- Stable_distribution comment "In probability theory, a random variable is said to be stable (or to have a stable distribution) if it has the property that a linear combination of two independent copies of the variable has the same distribution, up to location and scale parameters.".
- Stable_distribution label "Alpha-stabile Verteilungen".
- Stable_distribution label "Loi stable".
- Stable_distribution label "Stable distribution".
- Stable_distribution label "Устойчивое распределение".
- Stable_distribution label "安定分布".
- Stable_distribution label "稳定分布".
- Stable_distribution sameAs Alpha-stabile_Verteilungen.
- Stable_distribution sameAs Loi_stable.
- Stable_distribution sameAs 安定分布.
- Stable_distribution sameAs m.047kbz.
- Stable_distribution sameAs Q1934245.
- Stable_distribution sameAs Q1934245.
- Stable_distribution sameAs Stable_distribution.
- Stable_distribution wasDerivedFrom Stable_distribution?oldid=605210493.
- Stable_distribution depiction Levy_distributionPDF.png.
- Stable_distribution isPrimaryTopicOf Stable_distribution.
