<s>
A	O
Bayesian	B-General_Concept
average	I-General_Concept
is	O
a	O
method	O
of	O
estimating	O
the	O
mean	O
of	O
a	O
population	O
using	O
outside	O
information	O
,	O
especially	O
a	O
pre-existing	O
belief	O
,	O
which	O
is	O
factored	O
into	O
the	O
calculation	O
.	O
</s>
<s>
Calculating	O
the	O
Bayesian	B-General_Concept
average	I-General_Concept
uses	O
the	O
prior	O
mean	O
m	O
and	O
a	O
constantC	O
.	O
</s>
<s>
When	O
the	O
are	O
binary	O
values	O
0	O
or	O
1	O
,	O
m	O
can	O
be	O
interpreted	O
as	O
the	O
prior	O
estimate	O
of	O
a	O
binomial	O
probability	O
with	O
the	O
Bayesian	B-General_Concept
average	I-General_Concept
giving	O
a	O
posterior	O
estimate	O
for	O
the	O
observed	O
data	O
.	O
</s>
