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单词 lognormal distribution
释义
lognormal distribution

Mathematics
  • A positive valued random variable X is said to have a lognormal distribution if the random variable Y = lnX has a normal distribution.


Statistics
  • The distribution of a random variable X such that ln(Xθ) has a normal distribution, where θ is a parameter. There are two other parameters, δ (>0) and γ. The probability density function f is given bylognormal distributionIf we writelognormal distributionthe distribution has mean (θ+α ) and variance α2β(β − 1). The distribution has mode at θ+α/β. See johnson distributions.

    lognormal distribution

    Lognormal distribution. The distributions illustrated are for θ=0. They have mode at exp (−(1+γδ)/δ2).


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