Difference between revisions of "Logistic Command"

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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|probability}}
{{command|probability}}
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;Logistic( <Mean>, <Scale>, x )
;Logistic[ <Mean>, <Scale>, x ]
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:Creates cumulative density function (cdf) of [[w:Logistic distribution|logistic distribution]] with parameters mean ''μ'' and scale ''s''.
:Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters mean ''μ'' and scale ''s''.
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;Logistic( <Mean>, <Scale>, x, <Boolean Cumulative> )
;Logistic[ <Mean>, <Scale>, x, <Boolean Cumulative> ]
 
 
:If ''Cumulative'' is true, creates cumulative distribution function of logistic distribution, otherwise creates pdf of logistic distribution.
 
:If ''Cumulative'' is true, creates cumulative distribution function of logistic distribution, otherwise creates pdf of logistic distribution.
;Logistic[ <Mean>, <Scale>, <Variable Value> ]: Calculates the value of cumulative distribution function of logistic distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with logistic distribution given by parameters mean ''μ'' and scale ''s''.
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;Logistic( <Mean>, <Scale>, <Variable Value> ): Calculates the value of cumulative distribution function of logistic distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with logistic distribution given by parameters mean ''μ'' and scale ''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 Syntax==
 
;Logistic[ <Mean>, <Scale>, x ]
 
:Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters mean ''μ'' and scale ''s''.
 
;Logistic[ <Mean>, <Scale>, x, <Boolean Cumulative> ]
 
:If ''Cumulative'' is true, creates cumulative distribution function of logistic distribution, otherwise creates pdf of logistic distribution.
 
;Logistic[ <Mean>, <Scale>, <Variable Value> ]: Calculates the value of cumulative distribution function of logistic distribution at variable value ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with logistic distribution given by parameters mean ''μ'' and scale ''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).}}

Latest revision as of 10:19, 30 July 2019


Logistic( <Mean>, <Scale>, x )
Creates cumulative density function (cdf) of logistic distribution with parameters mean μ and scale s.
Logistic( <Mean>, <Scale>, x, <Boolean Cumulative> )
If Cumulative is true, creates cumulative distribution function of logistic distribution, otherwise creates pdf of logistic distribution.
Logistic( <Mean>, <Scale>, <Variable Value> )
Calculates the value of cumulative distribution function of logistic distribution at variable value v, i.e. the probability P(X ≤ v) where X is a random variable with logistic distribution given by parameters mean μ and scale 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).
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