Statistics package
The statistics package is part of the Octave Packages. Since version 1.5.0, the statistics package requires Octave version 6.1 or higher. From Octave v7.2 or later, you can install the latest statistics package (currently 1.5.3) with the following command:
pkg install -forge statistics
Clustering
Data Manipulation
Descriptive Statistics
Available functions
The following table lists the functions available for descriptive statistics.
| Function | Description |
|---|---|
| geomean | Compute the geometric mean. |
| grpstats | Compute summary statistics by group. Fully MATLAB compatible. |
| harmmean | Compute the harmonic mean. |
| jackknife | Compute jackknife estimates of a parameter taking one or more given samples as parameters. |
| mean | Compute the mean. Fully MATLAB compatible. |
| median | Compute the median. Fully MATLAB compatible. |
| nanmax | Find the maximal element while ignoring NaN values. |
| nanmin | Find the minimal element while ignoring NaN values. |
| nansum | Compute the sum while ignoring NaN values. |
| std | Compute the standard deviation. Fully MATLAB compatible. |
| trimmean | Compute the trimmed mean. |
| std | Compute the variance. Fully MATLAB compatible. |
In external packages
bootci, bootstrp are implemented in the statistics-bootstrap package.
Shadowing Octave core functions
The following functions will shadow the respective core functions until Octave 9.
- mean
- median
- std
- var
Distributions
Available functions
The following table lists the cdf, icdf, pdf, and random functions available in the statistics package. Since version 1.5.3, all CDFs support the "upper" option for evaluating the complement of the respective CDF.
Note! The icdf wrapper for the quantile functions is not implemented yet.
| Distribution Name | Cumulative Distribution Function | Quantile Function | Probability Density Function | Random Generator |
|---|---|---|---|---|
| Birnbaum–Saunders | bbscdf | bbsinv | bbspdf | bbsrnd |
| Beta | betacdf | betainv | betapdf | betarndbivariate |
| [Binomial | binocdf | binoinv | binopdf | binornd |
| Bivariate | bvncdf | |||
| Burr Type XII | burrcdf | burrinv | burrpdf | burrrnd |
| Cauchy | cauchy_cdf | cauchy_inv | cauchy_pdf | cauchy_rnd |
| Chi-squared | chi2cdf | chi2inv | chi2pdf | chi2rnd |
| Copula Family | copulacdf | copulainv | copulapdf | copularnd |
| Extreme Value | evcdf | evinv | evpdf | evrnd |
| Exponential | expcdf | expinv | exppdf | exprnd |
| F | fcdf | finv | fpdf | frnd |
| Gamma | gamcdf | gaminv | gampdf | gamrnd |
| Geometric | geocdf | geoinv | geopdf | geornd |
| Generalized Extreme Value | gevcdf | gevinv | gevpdf | gevrnd |
| Generalized Pareto | gpcdf | gpinv | gppdf | gprnd |
| Hypergeometric | hygecdf | hygeinv | hygepdf | hygernd |
| Inverse-Wishart | iwishpdf | iwishrnd | ||
| Johnson's SU | jsucdf | jsupdf | ||
| Laplace | laplace_cdf | laplace_inv | laplace_pdf | laplace_rnd |
| Logistic | logistic_cdf | logistic_inv | logistic_pdf | logistic_rnd |
| Log-normal | logncdf | logninv | lognpdf | lognrnd |
| Multinomial | mnpdf | mnrnd | ||
| Multivariate Normal | mvncdf | mvninv | mvnpdf | mvnrnd |
| Multivariate Student's T | mvtcdf mvtcdfqmc | mvtinv | mvtpdf | mvtrnd |
| Nakagami | nakacdf | nakainv | nakapdf | nakarnd |
| Negative Binomial | nbincdf | nbininv | nbinpdf | nbinrnd |
| Noncentral F | ncfcdf | ncfinv | ncfpdf | ncfrnd |
| Noncentral Student's T | nctcdf | nctinv | nctpdf | nctrnd |
| Noncentral Chi-squared | ncx2cdf | ncx2inv | ncx2pdf | ncx2rnd |
| Normal | normcdf | norminv | normpdf | normrnd |
| Poisson | poisscdf | poissinv | poisspdf | poissrnd |
| Rayleigh | raylcdf | raylinv | raylpdf | raylrnd |
| Standard Normal | stdnormal_cdf | stdnormal_inv | stdnormal_pdf | stdnormal_rnd |
| Student's T | tcdf | tinv | tpdf | trnd |
| Triangular | tricdf | triinv | tripdf | trirnd |
| Discrete Uniform | unidcdf | unidinv | unidpdf | unidrnd |
| Continuous Uniform | unifcdf | unifinv | unifpdf | unifrnd |
| von Mises | vmcdf | vmpdf | vmrnd | |
| Weibull | wblcdf | wblinv | wblpdf | wblrnd |
| Wiener process | wienrnd | |||
| Wishart | wishpdf | wishrnd |
Distribution Fitting
Functions available for estimating parameters and the negative log-likelihood for certain distributions.
| Distribution Name | Parameter Estimation | Negativel Log-likelihood |
|---|---|---|
| Extreme Value | evfit | evlike |
| Exponential | expfit | explike |
| Gamma | gamfit | gamlike |
| Generalized Extreme Value | gevfit_lmom gevfit | gevlike |
| Generalized Pareto | gpfit | gplike |
| Normal | normlike |
Distribution Statistics
Functions available for computing mean and variance from distribution parameters.
- betastat
- binostat
- chi2stat
- evstat
- expstat
- fstat
- gamstat
- geostat
- gevstat
- gpstat
- hygestat
- lognstat
- nbinstat
- ncfstat
- nctstat
- ncx2stat
- normstat
- poisstat
- raylstat
- fitgmdist
- tstat
- unidstat
- unifstat
- wblstat
Experimental Design
Functions available for computing design matrices.
- fullfact
- ff2n
- x2fx
Model Fitting
- crossval
- fitgmdist
- fitlm
Cross Validation
Class of set partitions for cross-validation, used in crossval
- @cvpartition/cvpartition
- @cvpartition/display
- @cvpartition/get
- @cvpartition/repartition
- @cvpartition/set
- @cvpartition/test
- @cvpartition/training
Missing options
- explike: censoring and frequency aren't yet implemented