2002The American StatisticianRequires access

Vector Differential Calculus in Statistics

M. P. Wand

Open publisher page 46 citations

Abstract

Many statistical operations benefit from differential calculus. Examples include optimization of likelihood functions and calculation of information matrices. For multiparameter models differential calculus suited to vector argument functions is usually the most efficient means of performing the required calculations. We present a primer on vector differential calculus and demonstrate its application to statistics through several worked examples.

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Many statistical operations benefit from differential calculus. Examples include optimization of likelihood functions and calculation of information matrices. For multiparameter models differential calculus suited to vector argument functions is usually the most efficient means of performing the required calculations. We present a primer on vector differential calculus and demonstrate its application to statistics through several worked examples.

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Available abstract

Many statistical operations benefit from differential calculus. Examples include optimization of likelihood functions and calculation of information matrices. For multiparameter models differential calculus suited to vector argument functions is usually the most efficient means of performing the required calculations. We present a primer on vector differential calculus and demonstrate its application to statistics through several worked examples.

Key concepts: Vector calculus, Differential calculus, Calculus (dental), Time-scale calculus, Mathematics, Differential (mechanical device), Matrix calculus, Applied mathematics

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