Estimating Mature Plays
29
discovery process model can be expressed as follows. The probability
for pool j to be discovered is proportional to its size, x j , as
1
P
···
···
j
j
j
N
X
X
X
X
∝
+ +
+ +
(3.2)
Figure 3.1. Examples of lognormal distributions:
( )
2
1
l n
1
exp
,
2
2
x
f x
x
−
=
−
m
s
s p
where μ is the mean of the logarithmic transformed pool size, σ
2 is the variance
of the logarithmic transformed pool size, and x is the pool size.
Figure 3.2. (A, B) Examples of a lognormal population. (A) Arithmetic scale.
(B) Logarithmic scale.
29
discovery process model can be expressed as follows. The probability
for pool j to be discovered is proportional to its size, x j , as
1
P
···
···
j
j
j
N
X
X
X
X
∝
+ +
+ +
(3.2)
Figure 3.1. Examples of lognormal distributions:
( )
2
1
l n
1
exp
,
2
2
x
f x
x
−
=
−
m
s
s p
where μ is the mean of the logarithmic transformed pool size, σ
2 is the variance
of the logarithmic transformed pool size, and x is the pool size.
Figure 3.2. (A, B) Examples of a lognormal population. (A) Arithmetic scale.
(B) Logarithmic scale.