September 2017
Beginner to intermediate
412 pages
8h 55m
English
Content preview from Java Data Analysis
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Cumulative distributions
For every probability distribution function f(x), there is a corresponding cumulative distribution function (CDF), denoted by F(x) and defined as:
Table 4-3. Dice example
The expression on the right means to sum all the values of f(u) for u ≤ x.
The CDF for the dice example is shown in Table 4-3, and its histogram is shown in Figure 4-6:
|
x |
fX (x) |
|---|---|
|
2 |
1/36 |
|
3 |
3/36 |
|
4 |
6/36 |
|
5 |
10/36 |
|
6 |
15/36 |
|
7 |
21/36 |
|
8 |
26/36 |
|
9 |
30/36 |
|
10 |
33/36 |
|
11 |
35/36 |
|
12 |
36/36 |
Figure 4-6. Dice cumulative distribution
The properties of a cumulative ...
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