Pearson distribution

E665238

continuous probability distribution probability distribution family statistical model

The Pearson distribution is a family of continuous probability distributions introduced by Karl Pearson to flexibly model data with varying skewness and kurtosis.

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Observed surface forms (1)

Surface form	Occurrences
Pearson type VII distribution	1

Statements (47)

Predicate	Object
instanceOf	continuous probability distribution ⓘ probability distribution family ⓘ statistical model ⓘ
appliesTo	univariate continuous random variables ⓘ
assumes	continuous support on an interval ⓘ
belongsTo	Pearson system of distributions NERFINISHED ⓘ
canBeEstimatedBy	maximum likelihood estimation ⓘ method of moments ⓘ
characterizedBy	kurtosis ⓘ mean ⓘ skewness ⓘ variance ⓘ
definedBy	first-order differential equation for the density ⓘ
field	probability theory ⓘ statistics ⓘ
generalizes	Student t-distribution NERFINISHED ⓘ beta distribution ⓘ gamma distribution NERFINISHED ⓘ normal distribution ⓘ
hasAlternativeName	Pearson system NERFINISHED ⓘ
hasGoal	to model data with given skewness and kurtosis ⓘ
hasParameter	location parameter ⓘ scale parameter ⓘ shape parameter ⓘ
hasProperty	can approximate many common distributions ⓘ
hasSubclass	Pearson Type I distribution NERFINISHED ⓘ Pearson Type II distribution NERFINISHED ⓘ Pearson Type III distribution NERFINISHED ⓘ Pearson Type IV distribution NERFINISHED ⓘ Pearson Type V distribution NERFINISHED ⓘ Pearson Type VI distribution ⓘ Pearson Type VII distribution NERFINISHED ⓘ
hasTypeClassification	Type I–Type VII ⓘ
introducedBy	Karl Pearson NERFINISHED ⓘ
introducedInYear	1895 ⓘ
namedAfter	Karl Pearson NERFINISHED ⓘ
supports	flexible kurtosis ⓘ flexible skewness ⓘ
usedFor	approximating unknown distributions ⓘ fitting empirical distributions ⓘ modeling kurtotic data ⓘ modeling skewed data ⓘ
usedIn	biostatistics ⓘ finance ⓘ hydrology ⓘ quality control ⓘ reliability engineering ⓘ

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Cauchy distribution → isSpecialCaseOf → Pearson distribution ⓘ

this entity surface form: Pearson type VII distribution

Karl Pearson → notableWork → Pearson distribution ⓘ