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MSc Financial Mathematics
Statistical Methods and Data Analytics 2020
MATH0099
Problem Sheet 3
Problem 1. Let X1, . . . , Xn be iid random variables with specified pdf. In each of the following cases find a sufficient statistic:
1.
(Hint: the sufficient statistic is two-dimensional.)
2.
Use the corollary from lectures about sufficient statistics of exponential fam-ilies to identify a sufficient statistic; also verify directly that your result satisfies the definition of a sufficient statistic.