Several important multivariate probability inequalities can be formulated in terms of multivariate convolutions of the form ∫ $f_{1}(x)f_{2}(x-\theta )dx$, where ...

The Annals of Probability, Vol. 3, No. 3 (Jun., 1975), pp. 503-515 (13 pages) Let $X_1, X_2, \cdots$ be i.i.d. random vectors in $R_k$. Let $P_n$ denote the ...

This unit extends elementary calculus to vector-valued functions of several variables to the point where the major theorems (Green's, Stokes' and the divergence theorem) can be presented. The emphasis ...

Covers multivariable calculus, vector analysis, and theorems of Gauss, Green, and Stokes. Prereq., APPM 1360 or MATH 2300 (min. grade C-). Credit not granted for this course and MATH 2400. Usually ...

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The emphasis is on basic ideas and methods; theorems will be stated, but the emphasis is on methods rather than proofs. The first half develops an understanding of multivariable calculus including the ...