Difference between revisions of "Logistic Command"

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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>, <Standard Deviation σ>, x ]
+
;Logistic[ <Mean μ>, <Scale s>, x ]
:Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters ''μ, σ''.
+
:Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters ''μ, s''.
;Logistic[ <Mean μ>, <Standard Deviation σ>, x, <Boolean Cumulative> ]
+
;Logistic[ <Mean μ>, <Scale s>, x, <Boolean Cumulative> ]
:If ''Cumulative'' is true, creates cumulative density 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>, <Standard Deviation σ>, <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, σ''.
+
;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>, <Standard Deviation σ>, <Variable Value v>]
+
;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, σ''.
+
: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.
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