Difference between revisions of "LogNormal Command"
From GeoGebra Manual
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| − | ;LogNormal[ <Mean | + | ;LogNormal[ <Mean>, <Standard Deviation>, x ] |
| − | :Creates probability density function (pdf) of [[w:Log-normal distribution|log-normal distribution]] with parameters ''μ | + | :Creates probability density function (pdf) of [[w:Log-normal distribution|log-normal distribution]] with parameters mean ''μ'' and standard deviation ''σ''. |
| − | ;LogNormal[ <Mean | + | ;LogNormal[ <Mean>, <Standard Deviation>, x, <Boolean Cumulative> ] |
| − | :If ''Cumulative'' is true, creates cumulative density function of | + | :If ''Cumulative'' is true, creates cumulative density function of log-normal distribution, otherwise creates pdf of log-normal distribution. |
| − | ;LogNormal[ <Mean | + | ;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).}} | :{{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== | ==CAS Syntax== | ||
| − | ;LogNormal[ <Mean μ>, <Standard Deviation | + | ;LogNormal[ <Mean>, <Standard Deviation>, x ] |
| − | :Calculates the value of cumulative distribution function of log-normal distribution at ''v'', i.e. the probability ''P( | + | :Creates probability density function (pdf) of [[w:Log-normal distribution|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).}} | ||
Revision as of 14:53, 26 March 2013
- 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).
CAS Syntax
- 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).
