Manuals/calci/LOGNORMDIST

LOGNORMDIST((x,m,sd)

Description

This function gives the value of the cumulative log normal distribution.
This distribution is the continuous probability distribution.
Lognomal distribution is also called Galton's distribution.
A random variable which is log-normally distributed takes only positive real values.
Suppose $x$ is normally distributed function ,then $y=ln(x)$ also normally distributed
$z=exp(y)$ also normally distributed.
Let the normal distribution function $x$ and its mean= Failed to parse (syntax error): {\displaystyle μ} , standard deviation = Failed to parse (syntax error): {\displaystyle σ}
Then the lognormal cumulative distribution is calculated by:Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle F(x,μ,σ)=1/2[1+(erf(ln(x)-μ)/σsqrt(2)= φ[(ln(x)-μ)/σ]} where erf is the error function( the error function (also called the Gauss error function) is a special function of sigmoid shape which occurs in probability, statistics and partial differential equations)
And φ is the cumulative distribution function of the standard normal distribution.
This function will give the result as error when
1. Any one of the argument is nonnumeric.
2.suppose $x\leq 0$ or $sd\leq 0$