Difference between revisions of "Logistic 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}} | ||
− | ;Logistic[ <Mean μ>, < | + | ;Logistic[ <Mean μ>, <Scale s>, x ] |
− | :Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters ''μ, | + | :Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters ''μ, s''. |
− | ;Logistic[ <Mean μ>, < | + | ;Logistic[ <Mean μ>, <Scale s>, x, <Boolean Cumulative> ] |
− | :If ''Cumulative'' is true, creates cumulative | + | :If ''Cumulative'' is true, creates cumulative distribution function of logistic distribution, otherwise creates pdf of logistic distribution. |
− | ;Logistic[ <Mean μ>, < | + | ;Logistic[ <Mean μ>, <Scale s>, <Variable Value v> ]: Calculates the value of cumulative distribution function of logistic distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with logistic distribution given by parameters ''μ, s''. |
:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the logistic 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 logistic distribution curve to the left of the given ''x''-coordinate).}} | ||
==CAS Syntaxes== | ==CAS Syntaxes== | ||
In [[CAS View]] only following syntax is supported: | In [[CAS View]] only following syntax is supported: | ||
− | ;Logistic[ <Mean μ>, < | + | ;Logistic[ <Mean μ>, <Scale s>, <Variable Value v>] |
− | :Calculates the value of cumulative distribution function of logistic distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with log-normal distribution given by parameters ''μ, | + | :Calculates the value of cumulative distribution function of logistic distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with log-normal distribution given by parameters ''μ, s''. |
Revision as of 14:22, 8 August 2011
- Logistic[ <Mean μ>, <Scale s>, x ]
- Creates probability density function (pdf) of logistic distribution with parameters μ, s.
- Logistic[ <Mean μ>, <Scale s>, x, <Boolean Cumulative> ]
- If Cumulative is true, creates cumulative distribution function of logistic distribution, otherwise creates pdf of logistic distribution.
- Logistic[ <Mean μ>, <Scale s>, <Variable Value v> ]
- Calculates the value of cumulative distribution function of logistic distribution at v, i.e. the probability P(X≤v) where X is a random variable with logistic distribution given by parameters μ, s.
- Note: Returns the probability for a given x-coordinate's value (or area under the logistic distribution curve to the left of the given x-coordinate).
CAS Syntaxes
In CAS View only following syntax is supported:
- Logistic[ <Mean μ>, <Scale s>, <Variable Value v>]
- Calculates the value of cumulative distribution function of logistic distribution at v, i.e. the probability P(X≤v) where X is a random variable with log-normal distribution given by parameters μ, s.