9.63 Let Y₁, 2, Y,, be a random sample from a population with density function 3y² 83 0 ≤ y ≤0, 0, elsewhere. f(y|0) = ting. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and ny suppressed content does not materially affect the overall learning experience. Cengage Leaming reserves the right to remove additional content at any time if subsequent rights In Exercise 9.52 you showed that Y(n) = max(Y₁, Y2, ..., Yn) is sufficient for 0. Show that Y() has probability density function a b Find the MVUE of 0. f(n) (y | 0) = 3ny³n-1 83 0, 1 Exerci 0 ≤ y ≤0, elsewhere.

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Answer 9.63

9.63
Let Y₁, Y₂,..., Y, be a random sample from a population with density function
0 ≤ y ≤0,
elsewhere.
f(y|0) = 83
ning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and
any suppressed content does not materially affect the overall learning experience. Cengage Leaming reserves the right to remove additional content at any time if subsequent rights r
In Exercise 9.52 you showed that Y() = max(Y₁, Y₂, ..., Y₂) is sufficient for 0.
a Show that Y() has probability density function
f(n) (y|0) =
b Find the MVUE of 0.
3ny3n-1
93
Exerci
0 ≤ y ≤0,
elsewhere.
Transcribed Image Text:9.63 Let Y₁, Y₂,..., Y, be a random sample from a population with density function 0 ≤ y ≤0, elsewhere. f(y|0) = 83 ning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and any suppressed content does not materially affect the overall learning experience. Cengage Leaming reserves the right to remove additional content at any time if subsequent rights r In Exercise 9.52 you showed that Y() = max(Y₁, Y₂, ..., Y₂) is sufficient for 0. a Show that Y() has probability density function f(n) (y|0) = b Find the MVUE of 0. 3ny3n-1 93 Exerci 0 ≤ y ≤0, elsewhere.
*9.52 Let Y₁, Y₂, ..., Y, be a random sample from a population with density function
10-12
f(y|0) =
0 ≤ y ≤0,
elsewhere.
Show that Y() = max(Y₁, Y₂, ..., Y) is sufficient for 0.
Transcribed Image Text:*9.52 Let Y₁, Y₂, ..., Y, be a random sample from a population with density function 10-12 f(y|0) = 0 ≤ y ≤0, elsewhere. Show that Y() = max(Y₁, Y₂, ..., Y) is sufficient for 0.
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