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Computational Order Statistics
Colin Rose
Murray D. Smith

3. Discrete Parent Distribution (List Form)

Suppose we throw an unfair six-sided die onto a flat surface such as a table. Let denote the upmost face of the die with pmf:

P(X=x):1/61/61/61/61/123/12
x:123456

Table 1. The pmf of X.

Using List Form, we enter this pmf as follows:

The pmf of the order statistic is:

with domain of support:

Here, for example, is a plot of the pmf of the third order statistic when the sample size :

Figure 6.



     
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