Lognormal distribution

Discussion in 'CT1' started by padasala, Sep 17, 2013.

  1. padasala

    padasala Ton up Member

    Hi,

    Some questions use the mean that is provided in the question while some questions derive the parameter using e^(u + 0.5sigma).

    Can you explain when we need to use the conversion and when we can use it as is in the question?
     
  2. bapan

    bapan Ton up Member

    It depends on the question.

    If you are given the value of mean then use it.
    If you are given value of mu you need to derive the value of mean.

    NB: mu is not the mean of a lognormal random variable
     
  3. Mark Mitchell

    Mark Mitchell Member

    Conversely, if a question gives you the mean (and variance) of the lognormal distribution, then you can use the formulae on page 14 of the Tables to work out the value of the parameters mu and sigma.

    Further - sigma squared is not the variance of a lognormal random variable.
     

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