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L-moment

In statistics, L-moments are a sequence of statistics used to summarize the shape of a probability distribution. They are linear combinations of order statistics (L-statistics) analogous to conventional moments, and can be used to calculate quantities analogous to standard deviation, skewness and kurtosis, termed the L-scale, L-skewness and L-kurtosis…

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Overview

Population L-moments

Sample L-moments

L-moment ratios

Related quantities

Usage

Values for some common distributions

Extensions

Advanced semantic analysis

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Map overview Semantic statistics

L-moment

Nodes64
Edges63
Triples66
Avg. degree1.97
Density0.03125
Components1

How this topic connects Entity context

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L-moment

Top relations

related to External links · 13
L-moment → Accessed, Dataplot, Hosking, IBM ResearchL Moments, Jonathan, L-comoments, L-moments, Lmo, National Institute, Python, Standards, Technology, The L-moments
related to Analytic calculation · 11
L-moment → CDF, CDFs, Expectations, Having, In, L-moments, Legendre, Since, Stieltjes, This, We
related to Sillitto's Theorem · 8
L-moment → Fourier, In, L-moments, Let, Sillitto, The, Then, Theorem
related to Values for some common distributions · 8
L-moment → Euler, Gamma, Gumbel, In, Mascheroni, More, Pareto, The
related to L-moment ratios · 5
L-moment → L-kurtosis, L-moments, L-skewness, The, Tighter
related to Related quantities · 5
L-moment → Gumbel, L-moments, PWM, Tukey, Wakeby
related to Extensions · 4
L-moment → Cauchy, L-moments, They, Trimmed L-moments
related to Sample L-moments · 4
L-moment → Direct, Grouping, L-moments, The
related to Usage · 4
L-moment → As, L-moments, There, To
related to Population L-moments · 1
L-moment → For

Important terminology Word statistics

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Important terminology

l-moments moments displaystyle distribution lambda conventional sample used ratios statistics population mean one probability order defined distributions random variable sum

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the Gumbelinstance ofPWM are used to efficiently estimate the parameters of distributions expressable in inverse form0.80text
the Tukey lambdainstance ofPWM are used to efficiently estimate the parameters of distributions expressable in inverse form0.80text
and the Wakeby distributionsinstance ofPWM are used to efficiently estimate the parameters of distributions expressable in inverse form0.80text
L-momentrelated to Analytic calculationExpectations0.60section
L-momentrelated to Analytic calculationCDFs0.60section
L-momentrelated to Analytic calculationIn0.60section
L-momentrelated to Analytic calculationHaving0.60section
L-momentrelated to Analytic calculationCDF0.60section
L-momentrelated to Analytic calculationStieltjes0.60section
L-momentrelated to Analytic calculationThis0.60section
L-momentrelated to Analytic calculationSince0.60section
L-momentrelated to Analytic calculationL-moments0.60section

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