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,,
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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