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Mathematically, this is known as the (generalised) [[problem of moments]]: for a given class of random variables ''X'', find a collection {''f<sub>i</sub>''} of functions such that the expectation values E[''f<sub>i</sub>''(''X'')] fully characterize the distribution of the random variable ''X''.
=== Examples ===
The following are examples of random numbers:
17 12 17 89 64
4 62 6 82 80
61 100 19 7 35
4 23 43 49 69
4 81 64 52 33
59 56 56 46 25
2 44 34 73 58
48 94 18 65 47
73 16 69 26 26
65 35 65 64 2
59 36 52 77 52
14 79 42 71 82
60 28 72 96 77
72 78 58 71 44
99 41 41 80 53
67 7 66 49 86
94 85 47 27 1
6 86 50 32 26
60 79 94 53 72
98 78 46 73 50
49 3 77 57 56
23 20 70 1 58
42 72 16 84 96
44 42 76 19 71
57 17 34 66 68
63 100 37 38 68
52 52 42 86 15
53 76 59 43 94
67 21 74 73 85
16 12 45 57 7
4 22 23 74 15
63 80 65 76 88
39 39 100 96 85
64 16 55 62 50
71 27 48 95 96
30 65 33 71 50
39 1 70 99 55
74 2 74 98 48
99 90 28 66 41
17 80 35 8 30
85 41 68 18 46
86 91 40 20 43
71 95 48 40 79
88 77 49 81 52
15 8 11 51 26
99 8 28 37 47
37 17 30 27 39
33 65 8 31 73
48 96 41 78 9
89 72 16 61 48
73 90 39 34 7
41 1 87 48 83
41 64 61 47 71
2 35 66 74 29
74 7 61 22 46
46 4 59 23 79
33 7 31 41 54
63 91 81 58 66
83 24 37 84 16
55 9 52 92 69
44 27 57 38 70
37 33 23 24 18
74 20 87 73 28
85 34 31 76 25
6 38 15 73 16
79 83 94 21 52
34 19 66 5 97
33 100 63 36 100
4 63 84 8 21
21 92 60 72 22
25 80 23 8 10
10 63 44 14 86
47 17 45 4 18
21 44 27 88 10
92 90 27 54 73
68 13 15 68 31
4 83 46 97 97
32 12 66 66 87
100 75 99 75 73
16 86 90 66 51
59 80 87 40 35
21 76 65 74 73
26 41 17 67 88
54 42 62 98 78
19 29 60 79 19
76 13 95 68 76
86 47 91 23 25
50 57 27 97 30
16 82 5 7 31
72 64 18 32 100
54 18 51 66 38
74 91 75 41 81
21 32 96 78 90
9 82 21 84 80
65 72 52 17 81
50 1 90 14 45
11 76 91 31 20
93 30 30 66 10
20 37 89 3 71
35 96 82 11 4
=== Convergence ===
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