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
79
80
81
82
83
84
|
{{alias}}( x, a, b, c )
Evaluates the probability density function (PDF) for a triangular
distribution with minimum support `a`, maximum support `b`, and mode `c` at
a value `x`.
If the condition `a <= c <= b` is not satisfied, the function returns `NaN`.
If either `a`, `b`, or `c` is `NaN`, the function returns `NaN`.
Parameters
----------
x: number
Input value.
a: number
Minimum support.
b: number
Maximum support.
c: number
Mode.
Returns
-------
out: number
Evaluated PDF.
Examples
--------
> var y = {{alias}}( 0.5, -1.0, 1.0, 0.0 )
0.5
> y = {{alias}}( 0.5, -1.0, 1.0, 0.5 )
1.0
> y = {{alias}}( -10.0, -20.0, 0.0, -2.0 )
~0.056
> y = {{alias}}( -2.0, -1.0, 1.0, 0.0 )
0.0
> y = {{alias}}( NaN, 0.0, 1.0, 0.5 )
NaN
> y = {{alias}}( 0.0, NaN, 1.0, 0.5 )
NaN
> y = {{alias}}( 0.0, 0.0, NaN, 0.5 )
NaN
> y = {{alias}}( 2.0, 1.0, 0.0, NaN )
NaN
> y = {{alias}}( 2.0, 1.0, 0.0, 1.5 )
NaN
{{alias}}.factory( a, b, c )
Returns a function for evaluating the probability density function (PDF) of
a triangular distribution with minimum support `a`, maximum support `b`, and
mode `c`.
Parameters
----------
a: number
Minimum support.
b: number
Maximum support.
c: number
Mode.
Returns
-------
pdf: Function
Probability density function (PDF).
Examples
--------
> var mypdf = {{alias}}.factory( 0.0, 10.0, 5.0 );
> var y = mypdf( 2.0 )
0.08
> y = mypdf( 12.0 )
0.0
See Also
--------
|
