Difference between revisions of "LogNormal Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>
 
{{command|probability}}
 
{{command|probability}}
;LogNormal[ <Mean>, <Standard Deviation>, x ]
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;LogNormal[ <Mean μ>, <Standard Deviation σ>, x ]
:{{description}}
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:Creates probability density function (pdf) of [[w:Log-normal distribution|log-normal distribution]] with parameters ''μ, σ''.
;LogNormal[ <Mean>, <Standard Deviation>, x, <Boolean Cumulative>]
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;LogNormal[ <Mean μ>, <Standard Deviation σ>, x, <Boolean Cumulative> ]
:{{description}}
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:If ''Cumulative'' is true, creates cumulative density function of LogNormal distribution, otherwise creates pdf of log-normal distribution.
;LogNormal[ <Mean>, <Standard Deviation>, <Variable Value> ]
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;LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v> ]: Calculates the value of cumulative distribution function of log-normal distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with log-normal distribution given by parameters ''μ, σ''.
:{{description}}
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:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the log-normal distribution curve to the left of the given ''x''-coordinate).}}
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==CAS Syntaxes==
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In [[CAS View]] only following syntax is supported:
 +
;LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v>]
 +
:Calculates the value of cumulative distribution function of log-normal distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with log-normal distribution given by parameters ''μ, σ''.

Revision as of 03:16, 22 July 2011



LogNormal[ <Mean μ>, <Standard Deviation σ>, x ]
Creates probability density function (pdf) of log-normal distribution with parameters μ, σ.
LogNormal[ <Mean μ>, <Standard Deviation σ>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative density function of LogNormal distribution, otherwise creates pdf of log-normal distribution.
LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v> ]
Calculates the value of cumulative distribution function of log-normal distribution at v, i.e. the probability P(X≤v) where X is a random variable with log-normal distribution given by parameters μ, σ.
Note: Returns the probability for a given x-coordinate's value (or area under the log-normal distribution curve to the left of the given x-coordinate).

CAS Syntaxes

In CAS View only following syntax is supported:

LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v>]
Calculates the value of cumulative distribution function of log-normal distribution at v, i.e. the probability P(X≤v) where X is a random variable with log-normal distribution given by parameters μ, σ.
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