Mathematical Supplement
Dirk P. Kroese and
Joshua Chan
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Dirk P. Kroese: The University of Queensland, School of Mathematics and Physics
Chapter Appendix B in Statistical Modeling and Computation, 2014, pp 367-372 from Springer
Abstract:
Abstract For a real-valued multivariate function $$f(x_{1},\ldots,x_{n})$$ the partial derivative with respect to x i , denoted $$\frac{\partial f} {\partial x_{i}}$$ or simply $$\partial _{i}f$$ , is the derivative taken with respect to x i while all other variables are held constant. The partial derivative of ∂ i f with respect to x j is denoted $$\frac{{\partial }^{2}f} {\partial x_{i}\,\partial x_{j}}$$ or simply ∂ ij f.
Keywords: Partial Derivative; Convergence Theorem; Hessian Matrix; Dominate Convergence Theorem; Orthogonal Transformation (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4614-8775-3_13
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DOI: 10.1007/978-1-4614-8775-3_13
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