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""" ========================================== Statistical functions (:mod:`scipy.stats`) ==========================================
.. module:: scipy.stats
This module contains a large number of probability distributions as well as a growing library of statistical functions.
Each univariate distribution is an instance of a subclass of `rv_continuous` (`rv_discrete` for discrete distributions):
.. autosummary:: :toctree: generated/
rv_continuous rv_discrete rv_histogram
Continuous distributions ========================
.. autosummary:: :toctree: generated/
alpha -- Alpha anglit -- Anglit arcsine -- Arcsine argus -- Argus beta -- Beta betaprime -- Beta Prime bradford -- Bradford burr -- Burr (Type III) burr12 -- Burr (Type XII) cauchy -- Cauchy chi -- Chi chi2 -- Chi-squared cosine -- Cosine crystalball -- Crystalball dgamma -- Double Gamma dweibull -- Double Weibull erlang -- Erlang expon -- Exponential exponnorm -- Exponentially Modified Normal exponweib -- Exponentiated Weibull exponpow -- Exponential Power f -- F (Snecdor F) fatiguelife -- Fatigue Life (Birnbaum-Saunders) fisk -- Fisk foldcauchy -- Folded Cauchy foldnorm -- Folded Normal frechet_r -- Deprecated. Alias for weibull_min frechet_l -- Deprecated. Alias for weibull_max genlogistic -- Generalized Logistic gennorm -- Generalized normal genpareto -- Generalized Pareto genexpon -- Generalized Exponential genextreme -- Generalized Extreme Value gausshyper -- Gauss Hypergeometric gamma -- Gamma gengamma -- Generalized gamma genhalflogistic -- Generalized Half Logistic gilbrat -- Gilbrat gompertz -- Gompertz (Truncated Gumbel) gumbel_r -- Right Sided Gumbel, Log-Weibull, Fisher-Tippett, Extreme Value Type I gumbel_l -- Left Sided Gumbel, etc. halfcauchy -- Half Cauchy halflogistic -- Half Logistic halfnorm -- Half Normal halfgennorm -- Generalized Half Normal hypsecant -- Hyperbolic Secant invgamma -- Inverse Gamma invgauss -- Inverse Gaussian invweibull -- Inverse Weibull johnsonsb -- Johnson SB johnsonsu -- Johnson SU kappa4 -- Kappa 4 parameter kappa3 -- Kappa 3 parameter ksone -- Kolmogorov-Smirnov one-sided (no stats) kstwobign -- Kolmogorov-Smirnov two-sided test for Large N (no stats) laplace -- Laplace levy -- Levy levy_l levy_stable logistic -- Logistic loggamma -- Log-Gamma loglaplace -- Log-Laplace (Log Double Exponential) lognorm -- Log-Normal lomax -- Lomax (Pareto of the second kind) maxwell -- Maxwell mielke -- Mielke's Beta-Kappa moyal -- Moyal nakagami -- Nakagami ncx2 -- Non-central chi-squared ncf -- Non-central F nct -- Non-central Student's T norm -- Normal (Gaussian) norminvgauss -- Normal Inverse Gaussian pareto -- Pareto pearson3 -- Pearson type III powerlaw -- Power-function powerlognorm -- Power log normal powernorm -- Power normal rdist -- R-distribution reciprocal -- Reciprocal rayleigh -- Rayleigh rice -- Rice recipinvgauss -- Reciprocal Inverse Gaussian semicircular -- Semicircular skewnorm -- Skew normal t -- Student's T trapz -- Trapezoidal triang -- Triangular truncexpon -- Truncated Exponential truncnorm -- Truncated Normal tukeylambda -- Tukey-Lambda uniform -- Uniform vonmises -- Von-Mises (Circular) vonmises_line -- Von-Mises (Line) wald -- Wald weibull_min -- Minimum Weibull (see Frechet) weibull_max -- Maximum Weibull (see Frechet) wrapcauchy -- Wrapped Cauchy
Multivariate distributions ==========================
.. autosummary:: :toctree: generated/
multivariate_normal -- Multivariate normal distribution matrix_normal -- Matrix normal distribution dirichlet -- Dirichlet wishart -- Wishart invwishart -- Inverse Wishart multinomial -- Multinomial distribution special_ortho_group -- SO(N) group ortho_group -- O(N) group unitary_group -- U(N) group random_correlation -- random correlation matrices
Discrete distributions ======================
.. autosummary:: :toctree: generated/
bernoulli -- Bernoulli binom -- Binomial boltzmann -- Boltzmann (Truncated Discrete Exponential) dlaplace -- Discrete Laplacian geom -- Geometric hypergeom -- Hypergeometric logser -- Logarithmic (Log-Series, Series) nbinom -- Negative Binomial planck -- Planck (Discrete Exponential) poisson -- Poisson randint -- Discrete Uniform skellam -- Skellam zipf -- Zipf
Statistical functions =====================
Several of these functions have a similar version in scipy.stats.mstats which work for masked arrays.
.. autosummary:: :toctree: generated/
describe -- Descriptive statistics gmean -- Geometric mean hmean -- Harmonic mean kurtosis -- Fisher or Pearson kurtosis kurtosistest -- mode -- Modal value moment -- Central moment normaltest -- skew -- Skewness skewtest -- kstat -- kstatvar -- tmean -- Truncated arithmetic mean tvar -- Truncated variance tmin -- tmax -- tstd -- tsem -- variation -- Coefficient of variation find_repeats trim_mean
.. autosummary:: :toctree: generated/
cumfreq itemfreq percentileofscore scoreatpercentile relfreq
.. autosummary:: :toctree: generated/
binned_statistic -- Compute a binned statistic for a set of data. binned_statistic_2d -- Compute a 2-D binned statistic for a set of data. binned_statistic_dd -- Compute a d-D binned statistic for a set of data.
.. autosummary:: :toctree: generated/
obrientransform bayes_mvs mvsdist sem zmap zscore iqr
.. autosummary:: :toctree: generated/
sigmaclip trimboth trim1
.. autosummary:: :toctree: generated/
f_oneway pearsonr spearmanr pointbiserialr kendalltau weightedtau linregress theilslopes
.. autosummary:: :toctree: generated/
ttest_1samp ttest_ind ttest_ind_from_stats ttest_rel kstest chisquare power_divergence ks_2samp mannwhitneyu tiecorrect rankdata ranksums wilcoxon kruskal friedmanchisquare combine_pvalues jarque_bera
.. autosummary:: :toctree: generated/
ansari bartlett levene shapiro anderson anderson_ksamp binom_test fligner median_test mood
.. autosummary:: :toctree: generated/
boxcox boxcox_normmax boxcox_llf
entropy
.. autosummary:: :toctree: generated/
wasserstein_distance energy_distance
Circular statistical functions ==============================
.. autosummary:: :toctree: generated/
circmean circvar circstd
Contingency table functions ===========================
.. autosummary:: :toctree: generated/
chi2_contingency contingency.expected_freq contingency.margins fisher_exact
Plot-tests ==========
.. autosummary:: :toctree: generated/
ppcc_max ppcc_plot probplot boxcox_normplot
Masked statistics functions ===========================
.. toctree::
stats.mstats
Univariate and multivariate kernel density estimation (:mod:`scipy.stats.kde`) ==============================================================================
.. autosummary:: :toctree: generated/
gaussian_kde
For many more stat related functions install the software R and the interface package rpy.
"""
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