""" ========================================== 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 included distribution is an instance of the class rv_continuous: For each given name the following methods are available: .. autosummary:: :toctree: generated/ rv_continuous rv_continuous.pdf rv_continuous.logpdf rv_continuous.cdf rv_continuous.logcdf rv_continuous.sf rv_continuous.logsf rv_continuous.ppf rv_continuous.isf rv_continuous.moment rv_continuous.stats rv_continuous.entropy rv_continuous.fit rv_continuous.expect Calling the instance as a function returns a frozen pdf whose shape, location, and scale parameters are fixed. Similarly, each discrete distribution is an instance of the class rv_discrete: .. autosummary:: :toctree: generated/ rv_discrete rv_discrete.rvs rv_discrete.pmf rv_discrete.logpmf rv_discrete.cdf rv_discrete.logcdf rv_discrete.sf rv_discrete.logsf rv_discrete.ppf rv_discrete.isf rv_discrete.stats rv_discrete.moment rv_discrete.entropy rv_discrete.expect Continuous distributions ======================== .. autosummary:: :toctree: generated/ alpha -- Alpha anglit -- Anglit arcsine -- Arcsine beta -- Beta betaprime -- Beta Prime bradford -- Bradford burr -- Burr cauchy -- Cauchy chi -- Chi chi2 -- Chi-squared cosine -- Cosine dgamma -- Double Gamma dweibull -- Double Weibull erlang -- Erlang expon -- Exponential 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 -- Frechet Right Sided, Extreme Value Type II (Extreme LB) or weibull_min frechet_l -- Frechet Left Sided, Weibull_max genlogistic -- Generalized Logistic 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 hypsecant -- Hyperbolic Secant invgamma -- Inverse Gamma invgauss -- Inverse Gaussian invweibull -- Inverse Weibull johnsonsb -- Johnson SB johnsonsu -- Johnson SU ksone -- Kolmogorov-Smirnov one-sided (no stats) kstwobign -- Kolmogorov-Smirnov two-sided test for Large N (no stats) laplace -- Laplace 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 nakagami -- Nakagami ncx2 -- Non-central chi-squared ncf -- Non-central F nct -- Non-central Student's T norm -- Normal (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 t -- Student's T triang -- Triangular truncexpon -- Truncated Exponential truncnorm -- Truncated Normal tukeylambda -- Tukey-Lambda uniform -- Uniform vonmises -- Von-Mises (Circular) 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 dirichlet -- Dirichlet 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 -- tmean -- Truncated arithmetic mean tvar -- Truncated variance tmin -- tmax -- tstd -- tsem -- nanmean -- Mean, ignoring NaN values nanstd -- Standard deviation, ignoring NaN values nanmedian -- Median, ignoring NaN values variation -- Coefficient of variation .. autosummary:: :toctree: generated/ cumfreq _ histogram2 _ histogram _ 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 signaltonoise bayes_mvs sem zmap zscore .. autosummary:: :toctree: generated/ sigmaclip threshold trimboth trim1 .. autosummary:: :toctree: generated/ f_oneway pearsonr spearmanr pointbiserialr kendalltau linregress theilslopes .. autosummary:: :toctree: generated/ ttest_1samp ttest_ind ttest_rel kstest chisquare power_divergence ks_2samp mannwhitneyu tiecorrect rankdata ranksums wilcoxon kruskal friedmanchisquare .. 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 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. """ from __future__ import division, print_function, absolute_import from scipy.stats import * from .core import * from .stats import * from .distributions import * from .rv import * from .morestats import * from ._binned_statistic import * from .kde import gaussian_kde from . import mstats from .contingency import chi2_contingency from ._multivariate import * from . import estimation #remove vonmises_cython from __all__, I don't know why it is included __all__ = [s for s in dir() if not (s.startswith('_') or s.endswith('cython'))] #import distributions #@Reimport #from wafo.stats.distributions import * from numpy.testing import Tester test = Tester().test