Volume 9, Issue 4
Tricks of the Trade
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Computational Order Statistics
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:
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 :
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