For the uniform $[theta_1,theta_2]$, What's the Unbiased Estimator of $theta_2 - theta_1$












-2












$begingroup$


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 $theta_2$ - $theta_1$










share|cite|improve this question











$endgroup$








  • 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
















-2












$begingroup$


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 $theta_2$ - $theta_1$










share|cite|improve this question











$endgroup$








  • 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














-2












-2








-2





$begingroup$


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 $theta_2$ - $theta_1$










share|cite|improve this question











$endgroup$




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






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








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














  • 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










0






active

oldest

votes











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3068658%2ffor-the-uniform-theta-1-theta-2-whats-the-unbiased-estimator-of-theta%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























0






active

oldest

votes








0






active

oldest

votes









active

oldest

votes






active

oldest

votes
















draft saved

draft discarded




















































Thanks for contributing an answer to Mathematics Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3068658%2ffor-the-uniform-theta-1-theta-2-whats-the-unbiased-estimator-of-theta%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

MongoDB - Not Authorized To Execute Command

How to fix TextFormField cause rebuild widget in Flutter

in spring boot 2.1 many test slices are not allowed anymore due to multiple @BootstrapWith