Abstract
Functions analyzed as points of abstarct spaces of functions appear in many branches of mathematics. Geometric intuitions about distance (or approximation, 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.
… which introduces the idea of studying random variables determined by the whole sample path of a stochastic process.
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© 1984 Springer-Verlag New York Inc.
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Pollard, D. (1984). Functionals on Stochastic Processes. In: Convergence of Stochastic Processes. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5254-2_1
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DOI: https://doi.org/10.1007/978-1-4612-5254-2_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9758-1
Online ISBN: 978-1-4612-5254-2
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