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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?

Math   Statistics-And-Probability   
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