Difference between revisions of "Logistic Command"

Revision as of 03:19, 22 July 2011

Logistic[ <Mean μ>, <Standard Deviation σ>, x ]: Creates probability density function (pdf) of logistic distribution with parameters μ, σ.
Logistic[ <Mean μ>, <Standard Deviation σ>, x, <Boolean Cumulative> ]: If Cumulative is true, creates cumulative density 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.; 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).

In CAS View only following syntax is supported:

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 log-normal distribution given by parameters μ, σ.

@@ Line 1: / Line 1: @@
 <noinclude>{{Manual Page|version=4.0}}</noinclude>
 {{command|probability}}
-;Logistic[ <Mean>, <Scale>, x ]
+;Logistic[ <Mean μ>, <Standard Deviation σ>, x ]
-:{{description}}
+:Creates probability density function (pdf) of [[w:Logistic distribution|logistic distribution]] with parameters ''μ, σ''.
-;Logistic[ <Mean>, <Scale>, x, <Boolean Cumulative> ]
+;Logistic[ <Mean μ>, <Standard Deviation σ>, x, <Boolean Cumulative> ]
-:{{description}}
+:If ''Cumulative'' is true, creates cumulative density function of logistic distribution, otherwise creates pdf of logistic distribution.
-;Logistic[ <Mean>, <Scale>, <Variable Value> ]
+;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''.
-:{{description}}
+:{{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>, <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 log-normal distribution given by parameters ''μ, σ''.