Difference between revisions of "LogNormal Command"
From GeoGebra Manual
m (removed extra CAS syntax) |
m (Text replace - ";(.*)\[(.*)\]" to ";$1($2)") |
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}} | ||
− | ;LogNormal | + | ;LogNormal( <Mean>, <Standard Deviation>, x ) |
:Creates probability density function (pdf) of [[w:Log-normal distribution|log-normal distribution]] with parameters mean ''μ'' and standard deviation ''σ''. | :Creates probability density function (pdf) of [[w:Log-normal distribution|log-normal distribution]] with parameters mean ''μ'' and standard deviation ''σ''. | ||
− | ;LogNormal | + | ;LogNormal( <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ) |
:If ''Cumulative'' is true, creates cumulative density function of log-normal distribution, otherwise creates pdf of log-normal distribution. | :If ''Cumulative'' is true, creates cumulative density function of log-normal distribution, otherwise creates pdf of log-normal distribution. | ||
− | ;LogNormal | + | ;LogNormal( <Mean>, <Standard Deviation>, <Variable Value> ) |
:Calculates the value of cumulative distribution function of log-normal distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with log-normal distribution given by parameters mean ''μ'' and standard deviation ''σ''. | :Calculates the value of cumulative distribution function of log-normal distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with log-normal distribution given by parameters mean ''μ'' and standard deviation ''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).}} |
Revision as of 17:15, 7 October 2017
- LogNormal( <Mean>, <Standard Deviation>, x )
- Creates probability density function (pdf) of log-normal distribution with parameters mean μ and standard deviation σ.
- LogNormal( <Mean>, <Standard Deviation>, x, <Boolean Cumulative> )
- If Cumulative is true, creates cumulative density function of log-normal distribution, otherwise creates pdf of log-normal distribution.
- LogNormal( <Mean>, <Standard Deviation>, <Variable Value> )
- Calculates the value of cumulative distribution function of log-normal distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with log-normal distribution given by parameters mean μ and standard deviation 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).