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How to calculate coverage probability in R for the cauchy distribution?



The Next CEO of Stack OverflowMLE for a uniform distribution.How do you differentiate the likelihood function for the uniform distribution in finding the M.L.E.?The Delta Method asymptotic distributionApproximate distribution for the sample mean?Distribution of Cauchy RV Conditional on Sum with Something ElseMLE of poisson random variable.Finding MLE for $P[X > x]$ with $x>0$ given for exponential distribution?Verification of Calculation of MSEs of Two EstimatorsIntuitive Choice of Estimator for Parameter of Beta DistributionDetermine if an Estimator is Biased (Unusual Expectation Expression)










0












$begingroup$


I know that the coverage probability is $P(|hattheta-theta|leqepsilon)$. My task is to compare estimators of the Cauchy distribution for the location $theta$. I've plotted the estimators and calculated their MSE. The estimators include the sample, median, and MLE. I am just stuck on how I would use R to evaluate the coverage probability for these estimators, say for $epsilon=0.1$.



Thanks










share|cite|improve this question









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  • $begingroup$
    Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
    $endgroup$
    – dantopa
    Mar 18 at 20:58






  • 1




    $begingroup$
    This and your other questions might be better suited to stats.stackexchange.com. There is a specific tag for R there.
    $endgroup$
    – StubbornAtom
    Mar 19 at 18:18











  • $begingroup$
    thanks a lot @StubbornAtom
    $endgroup$
    – user655516
    Mar 19 at 20:57
















0












$begingroup$


I know that the coverage probability is $P(|hattheta-theta|leqepsilon)$. My task is to compare estimators of the Cauchy distribution for the location $theta$. I've plotted the estimators and calculated their MSE. The estimators include the sample, median, and MLE. I am just stuck on how I would use R to evaluate the coverage probability for these estimators, say for $epsilon=0.1$.



Thanks










share|cite|improve this question









$endgroup$











  • $begingroup$
    Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
    $endgroup$
    – dantopa
    Mar 18 at 20:58






  • 1




    $begingroup$
    This and your other questions might be better suited to stats.stackexchange.com. There is a specific tag for R there.
    $endgroup$
    – StubbornAtom
    Mar 19 at 18:18











  • $begingroup$
    thanks a lot @StubbornAtom
    $endgroup$
    – user655516
    Mar 19 at 20:57














0












0








0





$begingroup$


I know that the coverage probability is $P(|hattheta-theta|leqepsilon)$. My task is to compare estimators of the Cauchy distribution for the location $theta$. I've plotted the estimators and calculated their MSE. The estimators include the sample, median, and MLE. I am just stuck on how I would use R to evaluate the coverage probability for these estimators, say for $epsilon=0.1$.



Thanks










share|cite|improve this question









$endgroup$




I know that the coverage probability is $P(|hattheta-theta|leqepsilon)$. My task is to compare estimators of the Cauchy distribution for the location $theta$. I've plotted the estimators and calculated their MSE. The estimators include the sample, median, and MLE. I am just stuck on how I would use R to evaluate the coverage probability for these estimators, say for $epsilon=0.1$.



Thanks







probability






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 18 at 20:51









user655516user655516

11




11











  • $begingroup$
    Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
    $endgroup$
    – dantopa
    Mar 18 at 20:58






  • 1




    $begingroup$
    This and your other questions might be better suited to stats.stackexchange.com. There is a specific tag for R there.
    $endgroup$
    – StubbornAtom
    Mar 19 at 18:18











  • $begingroup$
    thanks a lot @StubbornAtom
    $endgroup$
    – user655516
    Mar 19 at 20:57

















  • $begingroup$
    Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
    $endgroup$
    – dantopa
    Mar 18 at 20:58






  • 1




    $begingroup$
    This and your other questions might be better suited to stats.stackexchange.com. There is a specific tag for R there.
    $endgroup$
    – StubbornAtom
    Mar 19 at 18:18











  • $begingroup$
    thanks a lot @StubbornAtom
    $endgroup$
    – user655516
    Mar 19 at 20:57
















$begingroup$
Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
$endgroup$
– dantopa
Mar 18 at 20:58




$begingroup$
Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer.
$endgroup$
– dantopa
Mar 18 at 20:58




1




1




$begingroup$
This and your other questions might be better suited to stats.stackexchange.com. There is a specific tag for R there.
$endgroup$
– StubbornAtom
Mar 19 at 18:18





$begingroup$
This and your other questions might be better suited to stats.stackexchange.com. There is a specific tag for R there.
$endgroup$
– StubbornAtom
Mar 19 at 18:18













$begingroup$
thanks a lot @StubbornAtom
$endgroup$
– user655516
Mar 19 at 20:57





$begingroup$
thanks a lot @StubbornAtom
$endgroup$
– user655516
Mar 19 at 20:57











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