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
85
86
87
88
89
90
91
92
93
94
95
|
{{alias}}( [μ, σ] )
Returns a lognormal distribution object.
Parameters
----------
μ: number (optional)
Location parameter. Default: `0.0`.
σ: number (optional)
Scale parameter. Must be greater than `0`. Default: `1.0`.
Returns
-------
lognormal: Object
Distribution instance.
lognormal.mu: number
Location parameter.
lognormal.sigma: number
Scale parameter. If set, the value must be greater than `0`.
lognormal.entropy: number
Read-only property which returns the differential entropy.
lognormal.kurtosis: number
Read-only property which returns the excess kurtosis.
lognormal.mean: number
Read-only property which returns the expected value.
lognormal.median: number
Read-only property which returns the median.
lognormal.mode: number
Read-only property which returns the mode.
lognormal.skewness: number
Read-only property which returns the skewness.
lognormal.stdev: number
Read-only property which returns the standard deviation.
lognormal.variance: number
Read-only property which returns the variance.
lognormal.cdf: Function
Evaluates the cumulative distribution function (CDF).
lognormal.logpdf: Function
Evaluates the natural logarithm of the probability density function
(PDF).
lognormal.pdf: Function
Evaluates the probability density function (PDF).
lognormal.quantile: Function
Evaluates the quantile function at probability `p`.
Examples
--------
> var lognormal = {{alias}}( -2.0, 3.0 );
> lognormal.mu
-2.0
> lognormal.sigma
3.0
> lognormal.entropy
~0.518
> lognormal.kurtosis
4312295840576300
> lognormal.mean
~12.182
> lognormal.median
~0.135
> lognormal.mode
~0.0
> lognormal.skewness
~729551.383
> lognormal.stdev
~1096.565
> lognormal.variance
~1202455.871
> lognormal.cdf( 0.8 )
~0.723
> lognormal.logpdf( 2.0 )
~-3.114
> lognormal.pdf( 2.0 )
~0.044
> lognormal.quantile( 0.9 )
~6.326
See Also
--------
|
