Difference between revisions of "TDistribution Command"

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{{command|probability}}
 
{{command|probability}}
;TDistribution[ <Degrees of Freedom>, <Variable Value> ]
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;TDistribution[ <Degrees of Freedom d>, x ]
:{{description}}
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:Creates probability density function (pdf) of [[w:Student's t-distribution|t-distribution]] with ''d'' degrees of freedom.
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;TDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x, <Boolean Cumulative> ]
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:If ''Cumulative'' is true, creates cumulative density function of t-distribution, otherwise creates pdf of t-distribution.
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; TDistribution[ <Degrees of Freedom d>, <Variable Value v> ]: Calculates the value of cumulative distribution function of t-distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with t-distribution with ''d'' degrees of freedom.
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:{{Note| Returns the probability for a given ''x''-coordinate's value (or area under the t-distribution curve to the left of the given ''x''-coordinate).}}
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==CAS Syntaxes==
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In [[CAS View]] only following syntax is supported:
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;TDistribution[<Degrees of Freedom d>, <Variable Value v>]
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:Calculates the value of cumulative distribution function of T-distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with t-distribution with ''d'' degrees of freedom.

Revision as of 12:32, 21 July 2011



TDistribution[ <Degrees of Freedom d>, x ]
Creates probability density function (pdf) of t-distribution with d degrees of freedom.
TDistribution[ <Numerator Degrees of Freedom>, <Denominator Degrees of Freedom>, x, <Boolean Cumulative> ]
If Cumulative is true, creates cumulative density function of t-distribution, otherwise creates pdf of t-distribution.
TDistribution[ <Degrees of Freedom d>, <Variable Value v> ]
Calculates the value of cumulative distribution function of t-distribution at v, i.e. the probability P(X≤v) where X is a random variable with t-distribution with d degrees of freedom.
Note: Returns the probability for a given x-coordinate's value (or area under the t-distribution curve to the left of the given x-coordinate).

CAS Syntaxes

In CAS View only following syntax is supported:

TDistribution[<Degrees of Freedom d>, <Variable Value v>]
Calculates the value of cumulative distribution function of T-distribution at v, i.e. the probability P(X≤v) where X is a random variable with t-distribution with d degrees of freedom.
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