kurtosis — Compute sample kurtosis.
kurtosis(X) computes biased sample kurtosis, not excess kurtosis. kurtosis(X,0,...) applies the finite-sample bias correction. Dimension, vector-dimension, and "all" forms are supported.
Syntax
Y = kurtosis(X)
Y = kurtosis(X, flag)
Y = kurtosis(X, flag, dim)Inputs
| Name | Type | Required | Default | Description |
|---|---|---|---|---|
X | Any | Yes | — | Input data array. |
flag | NumericArray | No | — | Normalization or deviation mode flag. |
dim | Any | No | — | Dimension, dimension vector, or "all" selector. |
options | Any | Variadic | — | Optional dimension and missing-value arguments. |
Returns
| Name | Type | Description |
|---|---|---|
Y | NumericArray | Computed statistic. |
Errors
| Identifier | When | Message |
|---|---|---|
RunMat:kurtosis:InvalidArgument | Inputs, flags, dimensions, or options are malformed. | descriptive statistics: invalid argument |
RunMat:kurtosis:Internal | Internal tensor conversion or allocation fails. | descriptive statistics: internal error |
How kurtosis works
- Flag
1is the default biased moment estimator. - Flag
0applies the usual finite-sample bias correction and returnsNaNfor slices with fewer than four values. - Slices with zero variance return
NaN. - NaNs are treated as missing and omitted from each slice by default.
Example
Kurtosis across all values
k = kurtosis(x, 1, "all")Using kurtosis with coding agents
Open a RunMat example with live inputs, then ask the agent to explain how kurtosis changes the result.
Run a small kurtosis example, explain the result, then change one input and compare the output.
FAQ
Does kurtosis return excess kurtosis?⌄
No. The returned value is kurtosis with the normal distribution centered around 3.
Related Stats functions
Summary
binocdf · boxplot · cdf · cdfplot · chi2cdf · corr · corrcoef · corrcov · cov · cov2corr · dummyvar · ecdf · filloutliers · fitdist · geomean · grpstats · harmmean · icdf · isoutlier · kstest · lsline · mad · mode · nanmax · normalize · normcdf · norminv · normpdf · onehotdecode · onehotencode · pdf · prctile · quantile · refline · rmse · skewness · tabulate · tcdf · tiedrank · tinv · 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 kurtosis is executed, line by line, in Rust.
- View the source for kurtosis 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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