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
planck -- Planck (Discrete Exponential)
boltzmann -- Boltzmann (Truncated Discrete Exponential)
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 -- _
bayes_mvs -- _
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.
Variables