tpdf — Evaluate the Student's t probability density function.
tpdf(x,nu) evaluates the probability density of the Student's t distribution with nu degrees of freedom at x.
Syntax
y = tpdf(x, nu)Inputs
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
x | Any | Yes | — | Evaluation point. |
nu | Any | Yes | — | Degrees of freedom parameter. |
Returns
| Name | Type | Description |
|---|---|---|
y | NumericArray | Distribution function value. |
Errors
| Identifier | When | Message |
|---|---|---|
RunMat:tpdf:InvalidArgument | Inputs are nonnumeric, sizes are incompatible, or too many arguments are supplied. | normal distribution: invalid argument |
RunMat:tpdf:Internal | Internal tensor conversion or allocation fails. | normal distribution: internal error |
How tpdf works
xandnumay be scalars or matching-size numeric arrays.- Scalar inputs broadcast over matching-size array inputs.
- Nonpositive or
NaNdegrees of freedom produceNaNelementwise. nu = Infuses the standard normal density.
Example
Cauchy density at zero
y = tpdf(0, 1)Using tpdf with coding agents
Open a RunMat example with live inputs, then ask the agent to explain how tpdf changes the result.
Run a small tpdf example, explain the result, then change one input and compare the output.
FAQ
What is nu?⌄
nu is the degrees-of-freedom parameter for the Student's t distribution.
Related Stats functions
Summary
binocdf · boxplot · cdf · cdfplot · chi2cdf · corr · corrcoef · corrcov · cov · cov2corr · dummyvar · ecdf · filloutliers · fitdist · geomean · grpstats · harmmean · icdf · isoutlier · kstest · kurtosis · lsline · mad · mode · nanmax · normalize · normcdf · norminv · normpdf · onehotdecode · onehotencode · pdf · prctile · quantile · refline · rmse · skewness · tabulate · tcdf · tiedrank · tinv · ttest2 · wblinv
Ml
bayesopt · classify · confusionmat · crossvalind · cvpartition · fitclinear · fitctree · fitlm · kmeans · knnsearch · lasso · lassoglm · linkage · lscov · mnrfit · optimizableVariable · pdist · pdist2 · perfcurve · predict · regress · ridge · squareform · test · training · tsne
Random
binornd · bootstrp · datasample · dividerand · exprnd · gamrnd · lhsdesign · mvnrnd · normrnd · random · randsample · rng · trnd · unidrnd · unifrnd · wblrnd
Hist
Open-source implementation
Unlike proprietary runtimes, every RunMat function is open-source. Read exactly how tpdf is executed, line by line, in Rust.
- View the source for tpdf in Rust on GitHub
- Learn how the RunMat runtime works
- Found a bug? Open an issue with a minimal reproduction.
About RunMat
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