ABSTRACT

A nonnegative random variable X has a log-normal distribution whenever ln X, i.e., the natural logarithm of X, has a normal distribution. The probability distribution function (pdf) of a random variable X having a log-normal distribution is specified by() f ( x ) = 1 2 π β x − 1 exp [ − ( ln x − α ) 2 2 β 2 ] ;   x > 0 = 0 ;   elsewhere https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429124754/be33da89-95f5-45e7-a067-f2fa13b8eb97/content/eq1039.tif"/>