KendalTauCoefficient
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Function Description
Returns the Kendal’s
Tau
between two series,
and
.
If
are a set of joint
observations from two random variables
and
then
pairs
and
are
said to be ‘concordant’ if both
and
(or if both
and
). They are said to be
‘discordant’ if
and
or if
and
. Then the elements of
the matrix are as follows, where each entry separately considers all possible
pairs of
for
,
and 

N.B. There are various possible approaches to ties. The one
implemented here reduces the denominator so that we still have
and
in the presence of ties,
can take either extreme
value in some circumstances.
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