Timeline for Maximum likelihood estimators of $\theta$ in $U(2\theta-1,2\theta+1)$ distribution
Current License: CC BY-SA 4.0
6 events
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| Feb 11, 2019 at 9:46 | comment | added | StubbornAtom | If any statistic $T$ such that $T_1<T<T_2$ is an MLE, then $\alpha T_1+(1-\alpha)T_2$ is also an MLE for any $\alpha\in(0,1)$ since it lies between $T_1$ and $T_2$. As option (D) is correct, check if you can write the estimators in options (A),(B),(C) in the form $\alpha(\frac{Y_n-1}{2})+(1-\alpha)(\frac{Y_1+1}{2})$. | |
| Feb 8, 2019 at 20:19 | history | edited | kjetil b halvorsen♦ |
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| Feb 8, 2019 at 18:31 | history | edited | StubbornAtom | CC BY-SA 4.0 |
edited tags; edited title
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| Feb 8, 2019 at 18:17 | comment | added | StubbornAtom | Please add the 'self-study' tag and read the tag wiki. | |
| Feb 8, 2019 at 17:43 | comment | added | whuber♦ | One approach would be to compute the likelihoods for all four estimators. Another is to compute the maximum likelihood estimate outright. Have you tried either of these? | |
| Feb 8, 2019 at 17:22 | history | asked | Jor_El | CC BY-SA 4.0 |