tinv — Evaluate the inverse Student's t cumulative distribution function.
tinv(p,nu) returns the Student's t quantile for probability p and degrees of freedom nu.
Syntax
x = tinv(p, nu)Inputs
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
p | Any | Yes | — | Probability value. |
nu | Any | Yes | — | Degrees of freedom parameter. |
Returns
| Name | Type | Description |
|---|---|---|
y | NumericArray | Distribution function value. |
Errors
| Identifier | When | Message |
|---|---|---|
RunMat:tinv:InvalidArgument | Inputs are nonnumeric, sizes are incompatible, or too many arguments are supplied. | normal distribution: invalid argument |
RunMat:tinv:Internal | Internal tensor conversion or allocation fails. | normal distribution: internal error |
How tinv works
pandnumay be single or double scalars or arrays with compatible scalar-expansion shapes.- Scalar inputs broadcast over matching-size array inputs.
poutside[0,1]or nonpositivenuproducesNaNelementwise.p = 0andp = 1return infinite tails.- Single input selects single output; otherwise the result uses double precision.
- Native integer and logical inputs are mode-gated extensions. Integer values must be exactly representable at the binary64 inverse-CDF boundary.
- Resident input returns through the owning provider when owner-preserving restoration is available.
Example
95th percentile
x = tinv(0.95, 50)Using tinv with coding agents
Open a RunMat example with live inputs, then ask the agent to explain how tinv changes the result.
Run a small tinv example, explain the result, then change one input and compare the output.
FAQ
How is tinv computed?⌄
RunMat solves against the Student's t CDF with a bounded bisection path, using symmetry around zero.
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 · tpdf · 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 tinv is executed, line by line, in Rust.
- View the source for tinv 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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