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In probability theory, a logit-normal distribution is a probability distribution of a random variable whose logit has a normal distribution. If Y is a random variable with a normal distribution, and P is the standard logistic function, then X = P(Y) has a logit-normal distribution; likewise, if X is logit-normally distributed, then Y = logit(X)= log (X/(1-X)) is normally distributed. It is also known as the logistic normal distribution, which often refers to a multinomial logit version (e.g.).

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  • En théorie des probabilités et en statistique, la loi logit-normale est une loi de probabilité telle que la fonction logit de cette loi soit de loi normale. Si Y est une variable aléatoire de loi normale, et P est la fonction logistique, alors est de loi logit-normale, de manière similaire, si X est de loi logit-normale, alors est de loi normale. (fr)
  • In probability theory, a logit-normal distribution is a probability distribution of a random variable whose logit has a normal distribution. If Y is a random variable with a normal distribution, and P is the standard logistic function, then X = P(Y) has a logit-normal distribution; likewise, if X is logit-normally distributed, then Y = logit(X)= log (X/(1-X)) is normally distributed. It is also known as the logistic normal distribution, which often refers to a multinomial logit version (e.g.). A variable might be modeled as logit-normal if it is a proportion, which is bounded by zero and one, and where values of zero and one never occur. (en)
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  • 1076904731 (xsd:integer)
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dbp:cdfImage
  • 325 (xsd:integer)
dbp:date
  • January 2021 (en)
dbp:mean
  • no analytical solution (en)
dbp:mgf
  • no analytical solution (en)
dbp:mode
  • no analytical solution (en)
dbp:name
  • Logit-normal (en)
dbp:parameters
  • μ ∈ R — location (en)
  • σ2 > 0 — squared scale , (en)
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  • 325 (xsd:integer)
dbp:reason
  • and what is n? (en)
dbp:support
  • x ∈ (en)
dbp:type
  • continuous (en)
dbp:variance
  • no analytical solution (en)
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rdfs:comment
  • En théorie des probabilités et en statistique, la loi logit-normale est une loi de probabilité telle que la fonction logit de cette loi soit de loi normale. Si Y est une variable aléatoire de loi normale, et P est la fonction logistique, alors est de loi logit-normale, de manière similaire, si X est de loi logit-normale, alors est de loi normale. (fr)
  • In probability theory, a logit-normal distribution is a probability distribution of a random variable whose logit has a normal distribution. If Y is a random variable with a normal distribution, and P is the standard logistic function, then X = P(Y) has a logit-normal distribution; likewise, if X is logit-normally distributed, then Y = logit(X)= log (X/(1-X)) is normally distributed. It is also known as the logistic normal distribution, which often refers to a multinomial logit version (e.g.). (en)
rdfs:label
  • Loi logit-normale (fr)
  • Logit-normal distribution (en)
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