Difference between revisions of "LogNormal Command"
From GeoGebra Manual
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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''. | ;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).}} | :{{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 | + | ==CAS Syntax== |
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;LogNormal[ <Mean μ>, <Standard Deviation σ>, <Variable Value v>] | ;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''. | :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 19:54, 3 February 2013
- 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 Syntax
- 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.