Question: 1 . Give a fully worked example of a probability density function (pdf) of your choice which contains the parameter, 0 in its support by

1 . Give a fully worked example of a probability density function (pdf) of your choice which contains the parameter, 0 in its support by (a) deriving its complete sufficient statistic; (6 marks) (b) determining the minimum variance unbiased estimator (MVUE) of 0; (3 marks) (c) finding the unique MVUE of 0 for the complete sufficient statistic in part (a). (1 mark) Note: Clearly define pdf. State its support (MUST contain 0) and the corresponding parameter space

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