LetXbe the minimum andYthe maximum of two independent, nonnegative random variablesSandTwith common continuous densityf. LetZdenote the indicator
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Question:
LetXbe the minimum andYthe maximum of two independent, nonnegative random variablesSandTwith common continuous densityf. LetZdenote the indicator function of the event (S < T).
AreXandZindependent? AreYandZindependent? Are (X, Y) andZindependent?
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