Question: For solving a two-parameter problem with parameters X and Y, the following equa- tion can be defined: with Q(X,Y)= (X-Xo Y - Yo) A

For solving a two-parameter problem with parameters X and Y, the following equa- tion can be defined: with Q(X,Y)= (X-Xo Y - Yo) A = 0 L x " B = 0 L Y2 - Xo (A 8) ( X = X ) Y - Yo " 8 L 0XOY Xo, Yo Xo, Yo Xo, Yo (Xo, Yo) is the most probable value for the joined posterior of parameters X and Y, and L is the logarithmic joined posterior probability function. In general, the iso- contours of Q at k (k = Q(X,Y)) trace an ellipse. Specify the following properties of this ellipse: the ellipse's centre; the magnitude of the axes and the orientation of the ellipse. How do these properties relate to the parameters' uncertainties and (lack of) correlation?

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The equation QXY X Xo2 A2 Y Yo2 B2 2LC represents an ellipse Lets analyze the properties of this ell... View full answer

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