240
Appendix
3
χ
2
(
f (
χ
2
, df) =
df
2
2
Γ
( )
df
2
–
1
χ
2
2
e
(
-
)
χ
2
2
( )
1
4
pdfF(
f (x) =
( )
m
2
m
+
n
2
m
+
n
2
Γ
( )
n
2
Γ
( )
Γ
( )
m
n
(1
+
)
mx
n
x
–
1
m
2
m
2
-
5
pdfbin(
P (x = 0) = (1
–
p)
n
P (x = c
+
1) =
P (x = c)
(n
–
c) p
(c
+
1)(1
–
p)
(c = 0, 1, ..., n
–
1)
6
pdfpoi(
f (x) =
e
-
µ
µ
x
x!
(x = 0, 1, 2, ...)
7
pdfgeo(
f (x) = p (1
–
p)
x
-
1
df: Degree of freedom
m: Degree of freedom of
numerator
n: Degree of freedom of
denominator
n: Trial number (integers
greater than 0)
p: Success probability
(0
≤
p
≤
1)
c: Success number
x: First successful trial number
However:
Γ
(s) =
∫
∞
0
x
s
–
1
e
-
x
dx
However:
Γ
(s) =
∫
∞
0
x
s
–
1
e
-
x
dx