Manuals/calci/LOGNORMDIST

LOGNORMDIST((x,m,sd)

• $x$ is the value ,$m$ is the mean of $log(x)$,
• And $sd$ is the standard deviation of $log(x)$.

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 $sd\leq 0$

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It calculates the cumulative lognormal distribution of x, where ln(x) is distributed with parameters as mean and standard deviation.

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·          When arguments are nonnumeric ,LOGNORMDIST shows error.

·          LOGNORMDIST displays 0, when  n ≤ 0 or sd ≤ 0.

·          The equation for the lognormal cumulative distribution function is:

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LOGNORMDIST

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Lets see an example in (Column1 Row 1,Column2Row1, Column3Row1)

LOGNORMDIST (n, m,sd)

LOGNORMDIST (C1R1, C2R1,C3R1)

i.e. =LOGNORMDIST (5, 4.5, 2.2) is 0.09472

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Syntax

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Remarks

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Examples

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Description

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	Column1	Column2	Column3		Column4
Row1	5	4.5	2.2
Row2	0.094718	0
Row3
Row4
Row5
Row6

'

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