Difference between revisions of "TDistribution Command"
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Noel Lambert (talk | contribs) (arg for 2d syntax) |
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;TDistribution[ <Degrees of Freedom d>, x ] | ;TDistribution[ <Degrees of Freedom d>, x ] | ||
:Creates probability density function (pdf) of [[w:Student's t-distribution|t-distribution]] with ''d'' degrees of freedom. | :Creates probability density function (pdf) of [[w:Student's t-distribution|t-distribution]] with ''d'' degrees of freedom. | ||
| − | ;TDistribution[ < | + | ;TDistribution[ <Degrees of Freedom d>, x, <Boolean Cumulative> ] |
:If ''Cumulative'' is true, creates cumulative density function of t-distribution, otherwise creates pdf of t-distribution. | :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. | ; 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. | ||
Revision as of 15:35, 21 July 2011
- TDistribution[ <Degrees of Freedom d>, x ]
- Creates probability density function (pdf) of t-distribution with d degrees of freedom.
- TDistribution[ <Degrees of Freedom d>, 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.
