Log-logistic distribution
In probability and statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for a non-negative random variable. It is used in survival analysis as a parametric model for events whose rate increases initially and decreases later, as, for example, mortality rate from cancer following diagnosis or treatment. It has also been used in hydrology to model stream flow and precipitation, in economics as a simple model of the distribution of wealth or income, and in networking to model the transmission times of data considering both the network and the software.
Accelerated failure time modelBenford's lawBeta prime distributionBurr distributionChampernowne distributionCumFreqCumulative frequency analysisExpected shortfallFisk distributionGeneralized beta distributionGeneralized log-logistic distributionGeneralized logistic distributionGini coefficientHeavy-tailed distributionList of probability distributionsList of statistics articlesLog-normal distributionLog logistic distributionLogistic distributionLoglogistic distributionLomax distributionMetalog distributionNonparametric skewProbability distribution fittingQuantile functionRelationships among probability distributionsShape parameterShifted log-logistic distributionSurvival analysisTail value at risk
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Log-logistic distribution
In probability and statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for a non-negative random variable. It is used in survival analysis as a parametric model for events whose rate increases initially and decreases later, as, for example, mortality rate from cancer following diagnosis or treatment. It has also been used in hydrology to model stream flow and precipitation, in economics as a simple model of the distribution of wealth or income, and in networking to model the transmission times of data considering both the network and the software.
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Dans la théorie des probabilit ...... ontrairement à la log-normale.
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In probability and statistics, ...... can be written in closed form.
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cdf caption
values of as shown in legend
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cdf image
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char
where is the Beta function.
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mean
if , else undefined
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mgf
where is the Beta function.
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mode
if , 0 otherwise
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name
Log-logistic
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parameters
shape
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pdf caption
values of as shown in legend
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pdf image
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type
density
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variance
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Dans la théorie des probabilit ...... liser l'inégalité des revenus.
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In probability and statistics, ...... the network and the software.
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Log-logistic distribution
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Loi log-logistique
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