Difference between revisions of "LogNormal Command"
From GeoGebra Manual
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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 ] | + | ;LogNormal[ <Mean μ>, <Standard Deviation σ>, x ] |
| − | : | + | :Creates probability density function (pdf) of [[w:Log-normal distribution|log-normal distribution]] with parameters ''μ, σ''. |
| − | ;LogNormal[ <Mean>, <Standard Deviation>, x, <Boolean Cumulative>] | + | ;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>, <Standard Deviation>, <Variable Value> ] | + | ;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''. | ||
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.
