TUTORIAL 2 SOLUTIONS #7.7.11 Consider a population of size four ...
TUTORIAL 2 SOLUTIONS #7.7.11 Consider a population of size four ...
TUTORIAL 2 SOLUTIONS #7.7.11 Consider a population of size four ...
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We partial differentiate f wrt c 1 ,...,c n ,λ,<br />
∂f<br />
=2c<br />
∂c i − λ, i =1,...,n,<br />
i<br />
∂f<br />
n<br />
∂λ =1− ∑<br />
c i .<br />
i=1<br />
Equating these partial derivatives to 0, we<br />
have<br />
c i = λ 2 , i =1,...,n,<br />
n∑<br />
1=<br />
i=1<br />
= λn 2 .<br />
c i<br />
Solving for c i and λ, we have<br />
λ = 2 n ,<br />
c i = 1 n , i =1,...,n.<br />
14
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