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...Vector differential calculus in statistics m p wand sectionillustratestheiruseinstatistics sectiondescribesan extension of the methodology to matrix arguments many statistical operations benet from examplesinclude optimization likelihood functions and cal simpleillustrativeexample culation information matrices for multiparameter models let x y i n be a set measurements on two suited argument is usu variables consider problem tting line ally most efcient means performing required calcu xtothedata homoscedastic gaussian regression lations we present primer model demonstrate its application through several worked examples key words best linear prediction generalized where mixed maximum estimation penalized quasi score equation known log up an additive constant introduction notation indispensable tool par ticular storage parameters allows scalar approach maximization economical expression that relate involves rewriting as data used parameter suchaslikelihoodfunctionsandposteriordensities a...