For the uniform $[theta_1,theta_2]$, What's the Unbiased Estimator of $theta_2 - theta_1$
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The random samples$ X_1$,$ X_2$,...,$ X_n$ is i.i.d, from a $ uniform$[$theta_1$,$theta_2$], What's the Unbiased Estimator of $theta_2$ - $theta_1$
statistics
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show 2 more comments
$begingroup$
The random samples$ X_1$,$ X_2$,...,$ X_n$ is i.i.d, from a $ uniform$[$theta_1$,$theta_2$], What's the Unbiased Estimator of $theta_2$ - $theta_1$
statistics
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1
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What about unbiased estimator of $theta_{1}$? And $theta_{2}$?
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– openspace
Jan 10 at 14:21
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I dont know, it's all need to solve
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– GoogolRary
Jan 10 at 14:26
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Read about method of moments.
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– openspace
Jan 10 at 14:32
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There is more than one unbiased estimator. One, not the best, is $3, |X_1-X_2|$
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– Henry
Jan 10 at 23:20
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Can you illustrate it in detail?Thanks.
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– GoogolRary
Jan 11 at 0:16
|
show 2 more comments
$begingroup$
The random samples$ X_1$,$ X_2$,...,$ X_n$ is i.i.d, from a $ uniform$[$theta_1$,$theta_2$], What's the Unbiased Estimator of $theta_2$ - $theta_1$
statistics
$endgroup$
The random samples$ X_1$,$ X_2$,...,$ X_n$ is i.i.d, from a $ uniform$[$theta_1$,$theta_2$], What's the Unbiased Estimator of $theta_2$ - $theta_1$
statistics
statistics
edited Jan 10 at 14:19
postmortes
1,91721117
1,91721117
asked Jan 10 at 13:45
GoogolRaryGoogolRary
12
12
1
$begingroup$
What about unbiased estimator of $theta_{1}$? And $theta_{2}$?
$endgroup$
– openspace
Jan 10 at 14:21
$begingroup$
I dont know, it's all need to solve
$endgroup$
– GoogolRary
Jan 10 at 14:26
$begingroup$
Read about method of moments.
$endgroup$
– openspace
Jan 10 at 14:32
$begingroup$
There is more than one unbiased estimator. One, not the best, is $3, |X_1-X_2|$
$endgroup$
– Henry
Jan 10 at 23:20
$begingroup$
Can you illustrate it in detail?Thanks.
$endgroup$
– GoogolRary
Jan 11 at 0:16
|
show 2 more comments
1
$begingroup$
What about unbiased estimator of $theta_{1}$? And $theta_{2}$?
$endgroup$
– openspace
Jan 10 at 14:21
$begingroup$
I dont know, it's all need to solve
$endgroup$
– GoogolRary
Jan 10 at 14:26
$begingroup$
Read about method of moments.
$endgroup$
– openspace
Jan 10 at 14:32
$begingroup$
There is more than one unbiased estimator. One, not the best, is $3, |X_1-X_2|$
$endgroup$
– Henry
Jan 10 at 23:20
$begingroup$
Can you illustrate it in detail?Thanks.
$endgroup$
– GoogolRary
Jan 11 at 0:16
1
1
$begingroup$
What about unbiased estimator of $theta_{1}$? And $theta_{2}$?
$endgroup$
– openspace
Jan 10 at 14:21
$begingroup$
What about unbiased estimator of $theta_{1}$? And $theta_{2}$?
$endgroup$
– openspace
Jan 10 at 14:21
$begingroup$
I dont know, it's all need to solve
$endgroup$
– GoogolRary
Jan 10 at 14:26
$begingroup$
I dont know, it's all need to solve
$endgroup$
– GoogolRary
Jan 10 at 14:26
$begingroup$
Read about method of moments.
$endgroup$
– openspace
Jan 10 at 14:32
$begingroup$
Read about method of moments.
$endgroup$
– openspace
Jan 10 at 14:32
$begingroup$
There is more than one unbiased estimator. One, not the best, is $3, |X_1-X_2|$
$endgroup$
– Henry
Jan 10 at 23:20
$begingroup$
There is more than one unbiased estimator. One, not the best, is $3, |X_1-X_2|$
$endgroup$
– Henry
Jan 10 at 23:20
$begingroup$
Can you illustrate it in detail?Thanks.
$endgroup$
– GoogolRary
Jan 11 at 0:16
$begingroup$
Can you illustrate it in detail?Thanks.
$endgroup$
– GoogolRary
Jan 11 at 0:16
|
show 2 more comments
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1
$begingroup$
What about unbiased estimator of $theta_{1}$? And $theta_{2}$?
$endgroup$
– openspace
Jan 10 at 14:21
$begingroup$
I dont know, it's all need to solve
$endgroup$
– GoogolRary
Jan 10 at 14:26
$begingroup$
Read about method of moments.
$endgroup$
– openspace
Jan 10 at 14:32
$begingroup$
There is more than one unbiased estimator. One, not the best, is $3, |X_1-X_2|$
$endgroup$
– Henry
Jan 10 at 23:20
$begingroup$
Can you illustrate it in detail?Thanks.
$endgroup$
– GoogolRary
Jan 11 at 0:16