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Exponential Order Statistics
L1
Exponential Order Statistics
Junior Quant · Probability & Statistics
Question
X
X
X
and
Y
Y
Y
are iid
Exp
(
λ
)
\text{Exp}(\lambda)
Exp
(
λ
)
. Derive the distribution of
min
(
X
,
Y
)
\min(X, Y)
min
(
X
,
Y
)
and compute
E
[
max
(
X
,
Y
)
]
E[\max(X, Y)]
E
[
max
(
X
,
Y
)]
explicitly.
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