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Modify the formula to take into account arbitrary

Modify the formula to take into account arbitrary uncertainties in the observations and modelled values (assume uncertainties are independent).

Hint: find weights for each data point that maximises the S/N of the objective function value. You will need to use the 2D Taylor series expansion,only consider the second order terms in the Taylor series expansion.

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Other Subject: Modify the formula to take into account arbitrary

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