Sharp EL9900C EL-9900C - Page 250
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Appendix 3 pdfχ2( f (χ2, df) = 2Γ 1 ( df ) ( χ2 2 df )2 - 1 e (- χ2 2 ) 2 4 pdfF( f (x) = Γ Γ ( m + 2 n ) (m) Γ( n ) ( m n m )2 m x2 - 1(1 + mx n -m+n )2 2 2 5 pdfbin( P (x = 0) = (1 - p)n P (x = c + 1) = (c (n - c) p + 1)(1 - p) P (x = c) (c = 0, 1, ..., n - 1) 6 pdfpoi( f (x) = e-µ µx x! (x = 0, 1, 2, ...) However: Γ(s) = ∫ ∞ 0 xs-1 e-x dx df: Degree of freedom However: Γ(s) = ∫ ∞ 0 xs-1 e-x dx 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 7 pdfgeo( f (x) = p (1 - p)x - 1 x: First successful trial number 240
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240
Appendix
3
pdf
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