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Summary: '
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Lecture 27
Maxima and minima
Inverse DF
Percentiles
Simulations
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Maximum and Minimum
· X1, . . . , Xn independent random variables with distribution
functions F1, . . . , Fn.
· Xmax max(X1, . . . , Xn), Xmin min(X1, . . . , Xn)
Fmax(x) P{Xmax x} = P{X1 x, . . . , Xn x}
= P{X1 x} · · · P{Xn x}
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