<s>
In	O
physics	O
,	O
statistics	O
,	O
econometrics	O
and	O
signal	O
processing	O
,	O
a	O
stochastic	O
process	O
is	O
said	O
to	O
be	O
in	O
an	O
ergodic	O
regime	O
if	O
an	O
observable	O
's	O
ensemble	B-General_Concept
average	I-General_Concept
equals	O
the	O
time	O
average	O
.	O
</s>
<s>
are	O
ensemble	B-General_Concept
averages	I-General_Concept
(	O
calculated	O
over	O
all	O
possible	O
sample	O
functions	O
)	O
,	O
not	O
time	O
averages	O
.	O
</s>
<s>
converges	O
in	O
squared	O
mean	O
to	O
the	O
ensemble	B-General_Concept
average	I-General_Concept
as	O
.	O
</s>
<s>
converges	O
in	O
squared	O
mean	O
to	O
the	O
ensemble	B-General_Concept
average	I-General_Concept
,	O
as	O
.	O
</s>
<s>
to	O
the	O
ensemble	B-General_Concept
average	I-General_Concept
,	O
</s>
<s>
Ergodicity	O
means	O
the	O
ensemble	B-General_Concept
average	I-General_Concept
equals	O
the	O
time	O
average	O
.	O
</s>
<s>
That	O
gives	O
you	O
the	O
ensemble	B-General_Concept
average	I-General_Concept
for	O
that	O
instant	O
.	O
</s>
<s>
If	O
ensemble	B-General_Concept
average	I-General_Concept
always	O
equals	O
time	O
average	O
,	O
then	O
the	O
system	O
is	O
ergodic	O
.	O
</s>
<s>
That	O
gives	O
you	O
the	O
ensemble	B-General_Concept
average	I-General_Concept
for	O
each	O
plot	O
.	O
</s>
<s>
If	O
ensemble	B-General_Concept
average	I-General_Concept
and	O
time	O
average	O
are	O
the	O
same	O
then	O
it	O
is	O
ergodic	O
.	O
</s>
<s>
Then	O
the	O
ensemble	B-General_Concept
average	I-General_Concept
is	O
(	O
+	O
1	O
)	O
=	O
;	O
yet	O
the	O
long-term	O
average	O
is	O
for	O
the	O
fair	O
coin	O
and	O
1	O
for	O
the	O
two-headed	O
coin	O
.	O
</s>
