Titlebook: Convergence of Stochastic Processes; David Pollard Book 1984 Springer-Verlag New York Inc. 1984 Brownian bridge.Brownian motion.Convergenc

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The Uniform Metric on Spaces of Cadlag Functions,alize the general theory to the particular function space .[0, 1], under its uniform metric. It will turn out that most applications, especially those that come up with brownian bridges and brownian motions as limit processes, require no fancier setting than this.

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0172-7397 proximation as the unifying idea behind weak convergence. Uniform tightness reappears in disguise as a condition that justifies the finite-dimensional approxima978-1-4612-9758-1978-1-4612-5254-2Series ISSN 0172-7397 Series E-ISSN 2197-568X

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Springer Specialist Surgery Seriestion, or convergence, or orthogonality, or any other ideas learned from the study of euclidean space) carry over to those abstract spaces, lending familiarity to operations carried out on the functions. We enjoy similar benefits in the study of stochastic processes if we analyze them as random elements of spaces of functions.

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