""" Statistical Functions ===================== 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_continous. For each given name the following methods are available. See docstring for rv_continuous for more information rvs -- random variates with the distribution pdf -- probability density function cdf -- cummulative distribution function sf -- survival function (1.0 - cdf) ppf -- percent-point function (inverse of cdf) isf -- inverse survival function stats -- mean, variance, and optionally skew and kurtosis Calling the instance as a function returns a frozen pdf whose shape, location, and scale parameters are fixed. The distributions available with the above methods are: CONTINUOUS (Total == 81 distributions) =========== norm -- Normal (Gaussian) alpha -- Alpha anglit -- Anglit arcsine -- Arcsine beta -- Beta betaprime -- Beta Prime bradford -- Bradford burr -- Burr fisk -- Fisk 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 fatiguelife -- Fatigue Life (Birnbaum-Sanders) foldcauchy -- Folded Cauchy f -- F (Snecdor F) 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 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 invnorm -- Inverse Normal invweibull -- Inverse Weibull johnsonsb -- Johnson SB johnsonsu -- Johnson SU laplace -- Laplace logistic -- Logistic loggamma -- Log-Gamma loglaplace -- Log-Laplace (Log Double Exponential) lognorm -- Log-Normal gilbrat -- Gilbrat 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 t -- Student's T nct -- Non-central Student's T pareto -- Pareto 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 triang -- Triangular truncexpon -- Truncated Exponential truncnorm -- Truncated Normal tukeylambda -- Tukey-Lambda uniform -- Uniform von_mises -- Von-Mises (Circular) wald -- Wald weibull_min -- Minimum Weibull (see Frechet) weibull_max -- Maximum Weibull (see Frechet) wrapcauchy -- Wrapped Cauchy ksone -- Kolmogorov-Smirnov one-sided (no stats) kstwobign -- Kolmogorov-Smirnov two-sided test for Large N (no stats) DISCRETE (Total == 10 distributions) ============ binom -- Binomial bernoulli -- Bernoulli nbinom -- Negative Binomial geom -- Geometric hypergeom -- Hypergeometric logser -- Logarithmic (Log-Series, Series) poisson -- Poisson randint -- Discrete Uniform zipf -- Zipf dlaplace -- Discrete Laplacian Statistical Functions (adapted from Gary Strangman) gmean hmean mean cmedian median mode tmean tvar tmin tmax tstd tsem moment variation skew kurtosis describe skewtest kurtosistest normaltest itemfreq scoreatpercentile percentileofscore histogram2 histogram cumfreq relfreq obrientransform samplevar samplestd signaltonoise var std stderr sem z zs zmap threshold trimboth trim1 cov corrcoef f_oneway paired pearsonr spearmanr pointbiserialr kendalltau linregress ttest_1samp ttest_ind ttest_rel kstest chisquare ks_2samp meanwhitneyu tiecorrect ranksums wilcoxon kruskal friedmanchisquare ansari bartlett levene shapiro anderson binom_test fligner mood oneway glm anova Plot-tests probplot ppcc_max ppcc_plot For many more stat related functions install the software R and the interface package rpy. """ postpone_import = 1 global_symbols = ['mean','median','std','cov','corrcoef','find_repeats']