Consider the situation described in Exercise 8.6. How

Chapter 8, Problem 7E

(choose chapter or problem)

Consider the situation described in Exercise 8.6. How should the constant a be chosen to minimize the variance of \(\hat{\theta}_{3}\) if \(\hat{\theta_{1}} \text { and } \hat{\theta_{2}}\)  are not independent but are such that Cov \(\left(\widehat{\theta_{1}} \text { and } \widehat{\theta_{2}}\right)=c \neq 0\)

Equation Transcription:

 

 

Text Transcription:

\hat\theta_3

\hat\theta_1 \and  \hat\theta_2

(\widehat\theta_1 \and  \widehat\theta_2\right)=c \neq 0

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