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Normal and Log-Normal Probability Density Functions with Identical Mean and Standard Deviation

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mean
1.2
standard deviation
0.4
normal
log-normal
This Demonstration compares a log-normal distribution probability density function (PDF) with parameters
λ
and
ζ
with a normal distribution PDF with parameters
μ
and
σ
. Both PDFs have identical mean and standard deviation. Since the log-normal distribution is defined for positive values, it is not possible to have an equivalent normal distribution with negative mean.
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