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- Slash_distribution abstract "In probability theory, the slash distribution is the probability distribution of a standard normal variate divided by an independent standard uniform variate. In other words, if the random variable Z has a normal distribution with zero mean and unit variance, the random variable U has a uniform distribution on [0,1] and Z and U are statistically independent, then the random variable X = Z / U has a slash distribution. The slash distribution is an example of a ratio distribution. The distribution was named by William H. Rogers and John Tukey in a paper published in 1972.The probability density function iswhere φ(x) is the probability density function of the standard normal distribution. The result is undefined at x = 0, but the discontinuity is removable: The most common use of the slash distribution is in simulation studies. It is a useful distribution in this context because it has heavier tails than a normal distribution, but it is not as pathological as the Cauchy distribution.Differential equation".
- Slash_distribution thumbnail Slashpdf.svg?width=300.
- Slash_distribution wikiPageID "23470822".
- Slash_distribution wikiPageRevisionID "604914202".
- Slash_distribution cdfImage "275".
- Slash_distribution hasPhotoCollection Slash_distribution.
- Slash_distribution kurtosis "Does not exist".
- Slash_distribution mean "Does not exist".
- Slash_distribution median "0".
- Slash_distribution mgf "Does not exist".
- Slash_distribution mode "0".
- Slash_distribution name "Slash".
- Slash_distribution parameters "none".
- Slash_distribution pdfImage "275".
- Slash_distribution skewness "Does not exist".
- Slash_distribution type "density".
- Slash_distribution variance "Does not exist".
- Slash_distribution subject Category:Continuous_distributions.
- Slash_distribution subject Category:Normal_distribution.
- Slash_distribution subject Category:Probability_distributions.
- Slash_distribution subject Category:Probability_distributions_with_non-finite_variance.
- Slash_distribution type Abstraction100002137.
- Slash_distribution type Arrangement105726596.
- Slash_distribution type Cognition100023271.
- Slash_distribution type ContinuousDistributions.
- Slash_distribution type Distribution105729036.
- Slash_distribution type ProbabilityDistributionsWithNon-finiteVariance.
- Slash_distribution type PsychologicalFeature100023100.
- Slash_distribution type Structure105726345.
- Slash_distribution comment "In probability theory, the slash distribution is the probability distribution of a standard normal variate divided by an independent standard uniform variate. In other words, if the random variable Z has a normal distribution with zero mean and unit variance, the random variable U has a uniform distribution on [0,1] and Z and U are statistically independent, then the random variable X = Z / U has a slash distribution. The slash distribution is an example of a ratio distribution.".
- Slash_distribution label "Loi de Slash".
- Slash_distribution label "Slash distribution".
- Slash_distribution sameAs Loi_de_Slash.
- Slash_distribution sameAs m.06w6gjy.
- Slash_distribution sameAs Q3258353.
- Slash_distribution sameAs Q3258353.
- Slash_distribution sameAs Slash_distribution.
- Slash_distribution wasDerivedFrom Slash_distribution?oldid=604914202.
- Slash_distribution depiction Slashpdf.svg.
- Slash_distribution isPrimaryTopicOf Slash_distribution.