Show that an alternative expression for the GLM likelihood equations is n i=1 (yi ????i) var(yi)

Question:

Show that an alternative expression for the GLM likelihood equations is

∑n i=1

(yi − ????i)

var(yi)

????????i

????????j

= 0, j = 1, 2,…, p.

Show that these equations result from the generalized least squares problem of minimizing ∑

i

[(yi − ????i)

2∕var(yi)], treating the variances as known constants.

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