4. Let X,X2, .,X„ be a random sample form a Bernoulli distribution, f(X), = 0*(1 – 0)1-X; 0 < x < 1. Questions: а. Find the MLE of 0. b. Assume T, = X, and T, = ()Ex;. Find the MVUE. %3D %3D с. Check which one is sufficient statistic.

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4. Let X,X2, ... ,X, be a random sample form a Bernoulli distribution,
f(X), = 0*(1 – 0)-X; 0 < x < 1.
Questions:
а.
Find the MLE of 0.
b.
Assume T, = X, and T, = (-)Ex;. Find the MVUE.
%3D
с.
Check which one is sufficient statistic.
Transcribed Image Text:4. Let X,X2, ... ,X, be a random sample form a Bernoulli distribution, f(X), = 0*(1 – 0)-X; 0 < x < 1. Questions: а. Find the MLE of 0. b. Assume T, = X, and T, = (-)Ex;. Find the MVUE. %3D с. Check which one is sufficient statistic.
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