Sharp EL-9650 - Page 285

275
APPENDIX
3 pdfχ
2
(
f (χ
2
, df) =
1
2Γ ()
df
2
χ
2
2
()
df
2
–1
e
χ
2
2
(– )
However: Γ(s) =
∫
x
s–1
e
–x
dx
∞
0
df: Degree of freedom
4 pdfF(
f (x) =
Γ ()
m+n
2
Γ ()
m
2
Γ ()
n
2
()
m
n
m
2
X
m
2
–1
(1+ )
mx
n
m+n
2
–
However: Γ(s) =
∫
x
s–1
e
–x
dx
∞
0
m: Degree of freedom of
numerator
n: Degree of freedom of
denominator
5 pdfbin(
6 pdfpoi(
n: Trial number (integers
greater than 0)
p: Success probability
(0 ≤ p ≤ 1)
c: Success number
P (x=0) = (1–p)
n
P (x=c+1) =
(n–c) p
(c+1)(1–p)
P (x=c)
f (x) =
e
–µ
µ
x
x!
(x=0, 1, 2, ...)
7 pdfgeo(
x: First successful trial number
f (x) = p(1 – p)
x–1
(c=0,1,…, n–1)
EL-9650-Appendix (265-281) 8/3/00, 5:06 PM275