Difference between revisions of "Logistic Command"

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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|probability}}
 
{{command|probability}}
;Logistic[ <Mean μ>, <Scale s>, x ]
+
;Logistic[ <Mean>, <Scale>, x ]
:Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters ''μ, s''.
+
:Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters mean ''μ'' and scale ''s''.
;Logistic[ <Mean μ>, <Scale s>, 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 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''.
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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).}}
==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''.
 

Revision as of 14:30, 26 March 2013



Logistic[ <Mean>, <Scale>, x ]
Creates probability density function (pdf) 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).

CAS Syntax

Logistic[ <Mean>, <Scale>, x ]
Creates probability density function (pdf) 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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