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- Folded_normal_distribution abstract "The folded normal distribution is a probability distribution related to the normal distribution. Given a normally distributed random variable X with mean μ and variance σ2, the random variable Y = |X| has a folded normal distribution. Such a case may be encountered if only the magnitude of some variable is recorded, but not its sign. The distribution is called Folded because probability mass to the left of the x = 0 is "folded" over by taking the absolute value.The probability density function (PDF) is given byThe cumulative distribution function (CDF) is given by Using the change-of-variables z = (x − μ)/σ, the CDF can be written as Alternatively, using the change of variables in the first integral and in the second integral, one can show that where erf(x) is the error function, which is a standard function in many mathematical software packages. This expression reduces to the CDF of the half-normal distribution when μ = 0.The expectation is then given by where Φ(•) denotes the cumulative distribution function of a standard normal distribution.The variance is given by Both the mean, μ, and the variance, σ2, of X can be seen as the location and scale parameters of the new distribution.Differential equation".
- Folded_normal_distribution thumbnail Folded_normal_pdf.svg?width=300.
- Folded_normal_distribution wikiPageID "6260959".
- Folded_normal_distribution wikiPageRevisionID "604827723".
- Folded_normal_distribution hasPhotoCollection Folded_normal_distribution.
- Folded_normal_distribution subject Category:Continuous_distributions.
- Folded_normal_distribution subject Category:Normal_distribution.
- Folded_normal_distribution subject Category:Probability_distributions.
- Folded_normal_distribution type Abstraction100002137.
- Folded_normal_distribution type Arrangement105726596.
- Folded_normal_distribution type Cognition100023271.
- Folded_normal_distribution type ContinuousDistributions.
- Folded_normal_distribution type Distribution105729036.
- Folded_normal_distribution type ProbabilityDistributions.
- Folded_normal_distribution type PsychologicalFeature100023100.
- Folded_normal_distribution type Structure105726345.
- Folded_normal_distribution comment "The folded normal distribution is a probability distribution related to the normal distribution. Given a normally distributed random variable X with mean μ and variance σ2, the random variable Y = |X| has a folded normal distribution. Such a case may be encountered if only the magnitude of some variable is recorded, but not its sign.".
- Folded_normal_distribution label "Folded normal distribution".
- Folded_normal_distribution label "Loi normale repliée".
- Folded_normal_distribution sameAs Loi_normale_repliée.
- Folded_normal_distribution sameAs m.0fzd_m.
- Folded_normal_distribution sameAs Q953861.
- Folded_normal_distribution sameAs Q953861.
- Folded_normal_distribution sameAs Folded_normal_distribution.
- Folded_normal_distribution wasDerivedFrom Folded_normal_distribution?oldid=604827723.
- Folded_normal_distribution depiction Folded_normal_pdf.svg.
- Folded_normal_distribution isPrimaryTopicOf Folded_normal_distribution.
