A random sample of size is drawn from the pdf,

,

I can show that is not sufficient by an example, but I am having a hard time showing that is sufficient.

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- February 20th 2010, 11:31 AMjass10816Sufficient estimators question
A random sample of size is drawn from the pdf,

,

I can show that is not sufficient by an example, but I am having a hard time showing that is sufficient. - February 20th 2010, 04:16 PMjass10816
So I got that the , but I can't seem to factor this out of

Hope this helps clarify my question. - February 20th 2010, 07:05 PMmatheagle
It's sufficient by the Factorization Theorem.

,

should be rewritten with indicators.

BUT you need a sample here

- February 21st 2010, 12:12 PMjass10816
I am not familiar with what you mean with ? Thanks for your help.

- February 21st 2010, 12:24 PMMoo
Indicator/characteristic function :

if is indeed . 0 otherwise.