"""
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.
"""

postpone_import = 1
global_symbols = ['find_repeats']

depends  = ['linalg','special']
ignore = False # importing stats causes a segfault