2. Let Y,, Y2, ., ,n be random variables sample from a distributions with probability density function: f(y; f) = {o, ße-By elsewhere' if y > 0 and ß > 0 Show whether or not E-, Y, is a sufficient...


2. Let Y,, Y2, ., ,n be random variables sample from a distributions with probability<br>density function:<br>f(y; f) = {o,<br>ße-By<br>elsewhere'<br>if y > 0 and ß > 0<br>Show whether or not E-, Y, is a sufficient statistic for Bß by factorization theorem.<br>If yes, prove that is also a minimal sufficient statistic for B.<br>

Extracted text: 2. Let Y,, Y2, ., ,n be random variables sample from a distributions with probability density function: f(y; f) = {o, ße-By elsewhere' if y > 0 and ß > 0 Show whether or not E-, Y, is a sufficient statistic for Bß by factorization theorem. If yes, prove that is also a minimal sufficient statistic for B.

Jun 11, 2022
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