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Unformatted text preview: of in terms of percentiles. Consider, for
example, the heights of all the people within a large group. Ignore ties. A particular person from
the group is considered to be in the 90th percentile according to height, if the fraction of people
in the group shorter than that person is 90%. So 90% of the people are in the 90th percentile or
smaller. Similarly, 50% of the people are in the 50th percentile or smaller. So the percentile ranking
of a randomly selected person from the group is uniformly distributed over the range from zero to
one hundred percent. This result does not depend on the distribution of heights within the group.
For this example, Y can be interpreted as the rank of X (expressed as a fraction rather than as a
percentile) relative to the distribution assumed for X. 3.8. FUNCTIONS OF A RANDOM VARIABLE 3.8.2 109 Generating a random variable with a speciﬁed distribution An important step in many computer simulations of random systems is to generate a random
variable with a speciﬁed CDF. This is often...
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- Spring '08
- The Land