Information Technology Reference
In-Depth Information
32. Triangular distribution.
PDF:
f
(
x
;
w
)=
−
(
w
−
x
sgn(
x
))
/w
2
,x
∈
−
w, w
]
,w>
0
[
.
0
,
otherwise
w
6
V
:
.
1
2
+ln
w
.
33. Uniform distribution.
H
:
PDF:
f
(
x
;
a, b
)=
1
/
(
b
−
a
)
,x
∈
[
a, b
]
.
0
,
otherwise
(
b−a
)
2
12
V
:
.
a
)
.
Comment: A special case of Pearson Type II.
34. Weibull distribution.
H
:ln(
b
−
PDF:
f
(
x
;
λ, k
)=
λ
λ
k−
1
e
−
(
x/λ
)
k
;
x
≥
0;
λ, k >
0.
V
:
λ
2
Γ
1+
k
−
λ
2
Γ
2
1+
k
.
H
:
γ
1
−
k
+ln
k
+1.
Comment:
γ
is the Euler-Mascheroni constant.
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