1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
|
{{alias}}( x, k, λ )
Evaluates the moment-generating function (MGF) for a Weibull distribution
with shape parameter `k` and scale parameter `λ` at a value `t`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided a non-positive value for `λ` or `k`, the function returns `NaN`.
Parameters
----------
x: number
Input value.
k: number
Shape parameter.
λ: number
Scale parameter.
Returns
-------
out: number
Evaluated MGF.
Examples
--------
> var y = {{alias}}( 1.0, 1.0, 0.5 )
~2.0
> y = {{alias}}( -1.0, 4.0, 4.0 )
~0.019
> y = {{alias}}( NaN, 1.0, 1.0 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0 )
NaN
> y = {{alias}}( 0.0, 1.0, NaN )
NaN
> y = {{alias}}( 0.2, -1.0, 0.5 )
NaN
> y = {{alias}}( 0.2, 0.0, 0.5 )
NaN
> y = {{alias}}( 0.2, 0.5, -1.0 )
NaN
> y = {{alias}}( 0.2, 0.5, 0.0 )
NaN
{{alias}}.factory( k, λ )
Returns a function for evaluating the moment-generating function (MGF) of a
Weibull distribution with shape parameter `k` and scale parameter `λ`.
Parameters
----------
k: number
Shape parameter.
λ: number
Scale parameter.
Returns
-------
mgf: Function
Moment-generating function (MGF).
Examples
--------
> var myMGF = {{alias}}.factory( 8.0, 10.0 );
> var y = myMGF( 0.8 )
~3150.149
> y = myMGF( 0.08 )
~2.137
See Also
--------
|
