Question
Let X1, ... , X8 be i.i.d. Exponential (1) random variables. Let Y1, ... , Y8 be the corresponding order statistics. a) Derive the p.d.f.
Let X1, ... , X8 be i.i.d. Exponential (1) random variables. Let Y1, ... , Y8 be the corresponding order statistics.
a) Derive the p.d.f. of Y4.
b) Find the joint p.d.f. of S and T, where S = (Y4+Y5)/2 and T = Y5 Y4. Remember to describe and sketch the transformed domain.
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Linear Algebra A Modern Introduction
Authors: David Poole
3rd edition
9781133169574 , 978-0538735452
