Timeline for Find the unique MVUE
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 14 at 16:29 | comment | added | whuber♦ | Your are right, but that error was corrected in my answer, which you haven't addressed. | |
| Jan 14 at 8:56 | comment | added | Juan Hortez | I think that the last equality in question formulation $ f(x_1;\theta)f(x_2;\theta)...f(x_n;\theta)=\frac{1}{(3\theta)^n}\prod_{i}^{n} I(-\theta<x_i<2\theta)=\frac{1}{(3\theta)^n}I(max(x_i)<2\theta)\times 1 $ is not true, because we just get rid of one of the condition (this one about min(x_i)). From factorization theorem, we should get (max(x_i), min(x_i)) as sufficient statistic. It doesn't mean that (max(x_i)) and (min(x_i)) are sufficient statistics separately. | |
| Jan 13 at 20:48 | comment | added | whuber♦ | You are still just asserting the conclusion without deriving it. In the notation of my answer, the likelihood equals $(3\theta)^{-n}\mathcal{I}(\hat\theta\le\theta).$ That depends on a single statistic $\hat \theta.$ | |
| Jan 13 at 19:43 | comment | added | Juan Hortez | No, I'm talking about b) | |
| Jan 13 at 19:29 | comment | added | kjetil b halvorsen♦ | This might be an answer to another question! Did you post at the wrong place? | |
| Jan 13 at 17:09 | comment | added | Juan Hortez | In question formulation above we can conclude that (-X(1),X(n)/2) is minimal sufficient statistic. It is two dimentional, so there are no one-dimensional sufficient statistics | |
| Jan 13 at 16:39 | comment | added | whuber♦ | In what way, specifically, is this a "similar" case and why would that imply lack of sufficiency? | |
| Jan 13 at 16:30 | review | Low quality posts | |||
| Jan 17 at 19:27 | |||||
| Jan 13 at 13:36 | review | Late answers | |||
| Jan 13 at 14:05 | |||||
| S Jan 13 at 13:23 | review | First answers | |||
| Jan 13 at 14:05 | |||||
| S Jan 13 at 13:23 | history | edited | Juan Hortez | CC BY-SA 4.0 |
edited body
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| S Jan 13 at 13:19 | review | First answers | |||
| Jan 13 at 13:21 | |||||
| S Jan 13 at 13:19 | history | answered | Juan Hortez | CC BY-SA 4.0 |