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- Stability_(probability) abstract "In probability theory, the stability of a random variable is the property that a linear combination of two independent copies of the variable has the same distribution, up to location and scale parameters. The distributions of random variables having this property are said to be \"stable distributions\". Results available in probability theory show that all possible distributions having this property are members of a four-parameter family of distributions. The article on the stable distribution describes this family together with some of the properties of these distributions.The importance in probability theory of \"stability\" and of the stable family of probability distributions is that they are \"attractors\" for properly normed sums of independent and identically distributed random variables.Important special cases of stable distributions are the normal distribution, the Cauchy distribution and the Lévy distribution. For details see stable distribution.".
- Stability_(probability) wikiPageID "2752100".
- Stability_(probability) wikiPageLength "4873".
- Stability_(probability) wikiPageOutDegree "28".
- Stability_(probability) wikiPageRevisionID "698138306".
- Stability_(probability) wikiPageWikiLink Absolute_continuity.
- Stability_(probability) wikiPageWikiLink Category:Statistical_terminology.
- Stability_(probability) wikiPageWikiLink Category:Theory_of_probability_distributions.
- Stability_(probability) wikiPageWikiLink Cauchy_distribution.
- Stability_(probability) wikiPageWikiLink Characteristic_function_(probability_theory).
- Stability_(probability) wikiPageWikiLink Convolution.
- Stability_(probability) wikiPageWikiLink Extreme_value_theory.
- Stability_(probability) wikiPageWikiLink Generalized_extreme_value_distribution.
- Stability_(probability) wikiPageWikiLink Geometric_distribution.
- Stability_(probability) wikiPageWikiLink Geometric_stable_distribution.
- Stability_(probability) wikiPageWikiLink Indecomposable_distribution.
- Stability_(probability) wikiPageWikiLink Independence_(probability_theory).
- Stability_(probability) wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- Stability_(probability) wikiPageWikiLink Infinite_divisibility.
- Stability_(probability) wikiPageWikiLink Location_parameter.
- Stability_(probability) wikiPageWikiLink Lévy_distribution.
- Stability_(probability) wikiPageWikiLink Normal_distribution.
- Stability_(probability) wikiPageWikiLink Probability_distribution.
- Stability_(probability) wikiPageWikiLink Probability_theory.
- Stability_(probability) wikiPageWikiLink Random_variable.
- Stability_(probability) wikiPageWikiLink Scale_parameter.
- Stability_(probability) wikiPageWikiLink Stability_postulate.
- Stability_(probability) wikiPageWikiLink Stable_distribution.
- Stability_(probability) wikiPageWikiLink Unimodality.
- Stability_(probability) wikiPageWikiLink Univariate_distribution.
- Stability_(probability) wikiPageWikiLinkText "Stability (probability)".
- Stability_(probability) wikiPageWikiLinkText "Stability".
- Stability_(probability) wikiPageWikiLinkText "stable".
- Stability_(probability) wikiPageUsesTemplate Template:Merge-to.
- Stability_(probability) wikiPageUsesTemplate Template:Reflist.
- Stability_(probability) subject Category:Statistical_terminology.
- Stability_(probability) subject Category:Theory_of_probability_distributions.
- Stability_(probability) hypernym Property.
- Stability_(probability) type Building.
- Stability_(probability) comment "In probability theory, the stability of a random variable is the property that a linear combination of two independent copies of the variable has the same distribution, up to location and scale parameters. The distributions of random variables having this property are said to be \"stable distributions\". Results available in probability theory show that all possible distributions having this property are members of a four-parameter family of distributions.".
- Stability_(probability) label "Stability (probability)".
- Stability_(probability) sameAs Q7595717.
- Stability_(probability) sameAs m.080s49.
- Stability_(probability) sameAs Q7595717.
- Stability_(probability) wasDerivedFrom Stability_(probability)?oldid=698138306.
- Stability_(probability) isPrimaryTopicOf Stability_(probability).