The Mathematics of Value-at-Risk
Probability Density Function of X. In other words, the probability that X is in the set B can be found by integrating f over the set B. Since X must always take a value in the reals (ie. X(-∞,∞)), the following logically follows: P[X(-∞,∞)] = = 1. Also, any probability statement about X can be written in terms of f. ................
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