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
96
97
|
{{alias}}( x, N, K, n )
Evaluates the natural logarithm of the probability mass function (PMF) for a
hypergeometric distribution with population size `N`, subpopulation size
`K`, and number of draws `n` at a value `x`.
If provided `NaN` as any argument, the function returns `NaN`.
If provided a population size `N`, subpopulation size `K`, or draws `n`
which is not a nonnegative integer, the function returns `NaN`.
If the number of draws `n` or the subpopulation size `K` exceed population
size `N`, the function returns `NaN`.
Parameters
----------
x: number
Input value.
N: integer
Population size.
K: integer
Subpopulation size.
n: integer
Number of draws.
Returns
-------
out: number
Evaluated logPMF.
Examples
--------
> var y = {{alias}}( 1.0, 8, 4, 2 )
~-0.56
> y = {{alias}}( 2.0, 8, 4, 2 )
~-1.54
> y = {{alias}}( 0.0, 8, 4, 2 )
~-1.54
> y = {{alias}}( 1.5, 8, 4, 2 )
-Infinity
> y = {{alias}}( NaN, 10, 5, 2 )
NaN
> y = {{alias}}( 0.0, NaN, 5, 2 )
NaN
> y = {{alias}}( 0.0, 10, NaN, 2 )
NaN
> y = {{alias}}( 0.0, 10, 5, NaN )
NaN
> y = {{alias}}( 2.0, 10.5, 5, 2 )
NaN
> y = {{alias}}( 2.0, 5, 1.5, 2 )
NaN
> y = {{alias}}( 2.0, 10, 5, -2.0 )
NaN
> y = {{alias}}( 2.0, 10, 5, 12 )
NaN
> y = {{alias}}( 2.0, 8, 3, 9 )
NaN
{{alias}}.factory( N, K, n )
Returns a function for evaluating the natural logarithm of the probability
mass function (PMF) of a hypergeometric distribution with population size
`N`, subpopulation size `K`, and number of draws `n`.
Parameters
----------
N: integer
Population size.
K: integer
Subpopulation size.
n: integer
Number of draws.
Returns
-------
logpmf: Function
Logarithm of probability mass function (PMF).
Examples
--------
> var mylogPMF = {{alias}}.factory( 30, 20, 5 );
> var y = mylogPMF( 4.0 )
~-1.079
> y = mylogPMF( 1.0 )
~-3.524
See Also
--------
|
