<s>
The	O
Weibull	O
distribution	O
is	O
related	O
to	O
a	O
number	O
of	O
other	O
probability	O
distributions	O
;	O
in	O
particular	O
,	O
it	O
interpolates	B-Algorithm
between	O
the	O
exponential	O
distribution	O
(	O
k	O
=	O
1	O
)	O
and	O
the	O
Rayleigh	O
distribution	O
(	O
k	O
=	O
2	O
and	O
)	O
.	O
</s>
<s>
The	O
kurtosis	B-Error_Name
excess	I-Error_Name
may	O
also	O
be	O
written	O
as	O
:	O
</s>
<s>
The	O
Weibull	O
plot	O
is	O
a	O
plot	O
of	O
the	O
empirical	B-General_Concept
cumulative	I-General_Concept
distribution	I-General_Concept
function	I-General_Concept
of	O
data	O
on	O
special	O
axes	O
in	O
a	O
type	O
of	O
Q	B-Application
–	I-Application
Q	I-Application
plot	I-Application
.	O
</s>
<s>
There	O
are	O
various	O
approaches	O
to	O
obtaining	O
the	O
empirical	B-General_Concept
distribution	I-General_Concept
function	I-General_Concept
from	O
data	O
:	O
one	O
method	O
is	O
to	O
obtain	O
the	O
vertical	O
coordinate	O
for	O
each	O
point	O
using	O
where	O
is	O
the	O
rank	O
of	O
the	O
data	O
point	O
and	O
is	O
the	O
number	O
of	O
data	O
points	O
.	O
</s>
<s>
In	O
information	B-Library
retrieval	I-Library
to	O
model	O
dwell	O
times	O
on	O
web	O
pages	O
.	O
</s>
<s>
The	O
Weibull	O
fit	O
was	O
originally	O
used	O
because	O
of	O
a	O
belief	O
that	O
particle	O
energy	O
levels	O
align	O
to	O
a	O
statistical	B-General_Concept
distribution	I-General_Concept
,	O
but	O
this	O
belief	O
was	O
later	O
proven	O
false	O
and	O
the	O
Weibull	O
fit	O
continues	O
to	O
be	O
used	O
because	O
of	O
its	O
many	O
adjustable	O
parameters	O
,	O
rather	O
than	O
a	O
demonstrated	O
physical	O
basis	O
.	O
</s>
<s>
The	O
Weibull	O
distribution	O
interpolates	B-Algorithm
between	O
the	O
exponential	O
distribution	O
with	O
intensity	O
when	O
and	O
a	O
Rayleigh	O
distribution	O
of	O
mode	O
when	O
.	O
</s>
<s>
Because	O
of	O
its	O
availability	O
in	O
spreadsheets	B-Application
,	O
it	O
is	O
also	O
used	O
where	O
the	O
underlying	O
behavior	O
is	O
actually	O
better	O
modeled	O
by	O
an	O
Erlang	O
distribution	O
.	O
</s>
