Module dstats.infotheory
Basic information theory. Joint entropy, mutual information, conditional
mutual information. This module uses the base 2 definition of these
quantities, i.e, entropy, mutual info, etc. are output in bits.
Functions
Name  Description 

condEntropy(data, cond)  Calculate the conditional entropy H(data  cond).

condMutualInfo(x, y, z)  Calculates the conditional mutual information I(x, y  z) from a set of
observations.

entropy(data)  Calculates the joint entropy of a set of observations. Each input range
represents a vector of observations. If only one range is given, this reduces
to the plain old entropy. Input range must have a length.

entropyCounts(data)  This function calculates the Shannon entropy of a forward range that is
treated as frequency counts of a set of discrete observations.

entropyCounts(data, n)  
entropySorted(data)  Calculates the entropy of any old input range of observations more quickly
than entropy(), provided that all equal values are adjacent. If the input
is sorted by more than one key, i.e. structs, the result will be the joint
entropy of all of the keys. The compFun alias will be used to compare
adjacent elements and determine how many instances of each value exist.

flatten(args)  
joint(args)  Bind a set of ranges together to represent a joint probability distribution.

jointImpl(args)  
mutualInfo(x, y)  Calculates the mutual information of two vectors of discrete observations.

mutualInfoTable(table)  Calculates the mutual information of a contingency table representing a joint
discrete probability distribution. Takes a set of finite forward ranges,
one for each column in the contingency table. These can be expressed either as
a tuple of ranges or a range of ranges.

Structs
Name  Description 

DenseInfoTheory  Much faster implementations of information theory functions for the special
but common case where all observations are integers on the range [0, nBin).
This is the case, for example, when the observations have been previously
binned using, for example, dstats.base.frqBin().

Joint  Iterate over a set of ranges by value in lockstep and return an ObsEnt,
which is used internally by entropy functions on each iteration.

ObsEnt  