How can i show that $X_{1:n}$ is complete and sufficient for $theta$
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Let $X_1,...,X_n$ be sample from distribution with pdf:
$f(x;theta)=3theta^3x^{-4}~~~~~~~~~~$ for $0<theta<x$
$0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$ elsewhere
How can i show that $X_{1:n}$ is complete and sufficient for $theta$
probability probability-theory statistics order-statistics
asked Nov 18 at 10:55
Christian Schreurs
1
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up vote
-1
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favorite
Let $X_1,...,X_n$ be sample from distribution with pdf:
$f(x;theta)=3theta^3x^{-4}~~~~~~~~~~$ for $0<theta<x$
$0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$ elsewhere
How can i show that $X_{1:n}$ is complete and sufficient for $theta$
probability probability-theory statistics order-statistics
asked Nov 18 at 10:55
Christian Schreurs
1
What did you try? How do you check completeness and sufficiency?
– StubbornAtom
Nov 18 at 11:11
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
Let $X_1,...,X_n$ be sample from distribution with pdf:
$f(x;theta)=3theta^3x^{-4}~~~~~~~~~~$ for $0<theta<x$
$0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$ elsewhere
How can i show that $X_{1:n}$ is complete and sufficient for $theta$
probability probability-theory statistics order-statistics
asked Nov 18 at 10:55
Christian Schreurs
1
Let $X_1,...,X_n$ be sample from distribution with pdf:
$f(x;theta)=3theta^3x^{-4}~~~~~~~~~~$ for $0<theta<x$
$0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$ elsewhere
How can i show that $X_{1:n}$ is complete and sufficient for $theta$
probability probability-theory statistics order-statistics
probability probability-theory statistics order-statistics
asked Nov 18 at 10:55
Christian Schreurs
1
asked Nov 18 at 10:55
Christian Schreurs
1
asked Nov 18 at 10:55
Christian Schreurs
1
asked Nov 18 at 10:55
Christian Schreurs
1
asked Nov 18 at 10:55
Christian Schreurs
1
1
What did you try? How do you check completeness and sufficiency?
– StubbornAtom
Nov 18 at 11:11
add a comment |
What did you try? How do you check completeness and sufficiency?
– StubbornAtom
Nov 18 at 11:11
What did you try? How do you check completeness and sufficiency?
– StubbornAtom
Nov 18 at 11:11
What did you try? How do you check completeness and sufficiency?
– StubbornAtom
Nov 18 at 11:11
add a comment |
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What did you try? How do you check completeness and sufficiency?
– StubbornAtom
Nov 18 at 11:11