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- Location-scale_family abstract "In probability theory, especially as that field is used in statistics, a location-scale family is a family of univariate probability distributions parametrized by a location parameter and a non-negative scale parameter; if X is any random variable whose probability distribution belongs to such a family, then Y =d (a + bX) is another (where =d means "is equal in distribution to" — that is, "has the same distribution as"), and every distribution in the family is of that form. Moreover, if X is a zero-mean, unit-variance member of the family, then every member Y of the family can be written as Y =d (μY + σYX), where μY and σY are the mean and standard deviation of Y.In other words, a class Ω of probability distributions is a location-scale family if whenever F is the cumulative distribution function of a member of Ω and a is any real number and b > 0, then G(x) = F(a + bx) is also the cumulative distribution function of a member of Ω.In decision theory, if all alternative distributions available to a decision-maker are in the same location-scale family, then a two-moment decision model applies, and decision-making can be framed in terms of the means and the variances of the distributions.".
- Location-scale_family wikiPageExternalLink special1.html.
- Location-scale_family wikiPageID "2680667".
- Location-scale_family wikiPageRevisionID "519011278".
- Location-scale_family hasPhotoCollection Location-scale_family.
- Location-scale_family subject Category:Parametric_statistics.
- Location-scale_family subject Category:Probability_distributions.
- Location-scale_family subject Category:Types_of_probability_distributions.
- Location-scale_family type Abstraction100002137.
- Location-scale_family type Arrangement105726596.
- Location-scale_family type Cognition100023271.
- Location-scale_family type Distribution105729036.
- Location-scale_family type ProbabilityDistributions.
- Location-scale_family type PsychologicalFeature100023100.
- Location-scale_family type Structure105726345.
- Location-scale_family comment "In probability theory, especially as that field is used in statistics, a location-scale family is a family of univariate probability distributions parametrized by a location parameter and a non-negative scale parameter; if X is any random variable whose probability distribution belongs to such a family, then Y =d (a + bX) is another (where =d means "is equal in distribution to" — that is, "has the same distribution as"), and every distribution in the family is of that form.".
- Location-scale_family label "Location-scale family".
- Location-scale_family sameAs m.07xjx5.
- Location-scale_family sameAs Q6664772.
- Location-scale_family sameAs Q6664772.
- Location-scale_family sameAs Location-scale_family.
- Location-scale_family wasDerivedFrom Location-scale_family?oldid=519011278.
- Location-scale_family isPrimaryTopicOf Location-scale_family.