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Fix docs regarding win % that beta corresponds to #12

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Dec 31, 2015
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Fix docs regarding win % that beta corresponds to #12

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2 changes: 1 addition & 1 deletion docs/index.rst
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Original file line number Diff line number Diff line change
Expand Up @@ -60,7 +60,7 @@ real skill of player is between :math:`\mu \pm 2\sigma` with 95% confidence. ::
trueskill.Rating(mu=25.000, sigma=8.333)

If some player's rating is higher :math:`\beta` than another player's, the
player may have about 80% of chance to beat the other player. The default value
player may have about a 76% (specifically :math:`\Phi(\frac {1}{\sqrt{2}})`) chance to beat the other player. The default value
of :math:`\beta` is :math:`\frac{ 25 }{ 6 }`.

Ratings will approach real skills through few times of the TrueSkill's Bayesian
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4 changes: 2 additions & 2 deletions trueskill/__init__.py
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Expand Up @@ -39,7 +39,7 @@
MU = 25.
#: Default initial standard deviation of ratings.
SIGMA = MU / 3
#: Default distance that guarantees about 75.6% chance of winning.
#: Default distance that guarantees about 76% chance of winning.
BETA = SIGMA / 2
#: Default dynamic factor.
TAU = SIGMA / 100
Expand Down Expand Up @@ -153,7 +153,7 @@ class TrueSkill(object):
:param mu: the initial mean of ratings.
:param sigma: the initial standard deviation of ratings. The recommended
value is a third of ``mu``.
:param beta: the distance which guarantees about 75.6% chance of winning.
:param beta: the distance which guarantees about 76% chance of winning.
The recommended value is a half of ``sigma``.
:param tau: the dynamic factor which restrains a fixation of rating. The
recommended value is ``sigma`` per cent.
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