Question
Given the next distribution with pdfs f(xi |θ) = 1/2iθ if − i(θ − 1) < xi...
Given the next distribution with pdfs
f(xi |θ) = 1/2iθ if − i(θ − 1) < xi < i(θ + 1)
0 otherwise
a)Find a sufficient statistic for θ.
b )Is it a minimal sufficient statistic?
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