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Suppose S is a function of statistic T, S = f(T) (1) Suppose S is sufficient. Show that T is sufficient (2) Suppose T is

Suppose S is a function of statistic T, S = f(T)

(1) Suppose S is sufficient. Show that T is sufficient

(2) Suppose T is complete. Show that T is complete

(3) Suppose T is ancillary. Show that T is ancillary

(4) Suppose T is minimal sufficient. Can we say that S is also minimal sufficient? Why?

explain it clearly and plz avoid handwriting

Thank you

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