Question: Let X1, . . ., Xn be a random sample from a G(1, ) distribution. (a) Show that is a sufficient statistic for . (b)

Let X1, . . ., Xn be a random sample from a G(1, β) distribution.
(a) Show that
Let X1, . . ., Xn be a random sample

is a sufficient statistic for β.
(b) The following is a random sample from a G (1, β) distribution.

Let X1, . . ., Xn be a random sample

Find a sufficient statistic for β.

0.3 3.4 04 1.8 0.7 0 0. 2.3 3.7 2.0 0.3 3.7 0. 3 1.2 3.3 0.2 1.3 0.6 0.4

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