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72 Consider data collected at n sequential points in time X1, X2, ..., X. The Xi, i = 1,..., n are independent with X;~
Posted: Mon May 09, 2022 12:37 pm
by answerhappygod
- 72 Consider Data Collected At N Sequential Points In Time X1 X2 X The Xi I 1 N Are Independent With X 1 (31.91 KiB) Viewed 27 times
72 Consider data collected at n sequential points in time X1, X2, ..., X. The Xi, i = 1,..., n are independent with X;~ N(01.02) 1<i<t X X;~ N(02,6202) T<i<n. (i) Form the joint log-likelihood function of 81, 82,02 and K?. [4 marks] (ii) Find the MLEs of , and 62. [4 marks] (iii) Hence or otherwise, determine the system of equations with the MLES 02 and R2 as solutions and find R2 explicitly [6 marks] (iv) Derive a pivotal quantity for k², and describe how it can be used to test the hypothesis Ho: = 1, HA: Kº #1. [7 marks] :