Let X1,X2,...,Xn be a random sample of size n from a distribution with density function f(x;theta) = c2^[-(x-theta)^2]. if c is known, sample mean is sufficient stat for theta. why?

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- Aug 16th 2011, 10:13 PMphinejose5sufficient statistics
Let X1,X2,...,Xn be a random sample of size n from a distribution with density function f(x;theta) = c2^[-(x-theta)^2]. if c is known, sample mean is sufficient stat for theta. why?

- Aug 26th 2011, 08:09 AMmatheagleRe: sufficient statistics
what is the support?

is x greater than theta?

If, so the smallest order stat would be the suff estimator