MATH0099 Statistical Methods and Data Analytics 2020 Problem Sheet 3Matlab

Java Python 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 MATH0099 Statistical Methods and Data Analytics 2020 Problem Sheet 3Matlab 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