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Hilbert and Banach Space-Valued Stochastic Processes

by Kakihara Yuichiro

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Infinite-dimensional stochastic processes and their representations

$175.81 USD
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Infinite-dimensional stochastic processes and their representations

Building on *Multidimensional Second Order Stochastic Processes*, Kakihara develops a research-oriented account of stationary and nonstationary stochastic processes in infinite-dimensional settings. The framework uses second-order random variables taking values in Hilbert and Banach spaces. The book also examines stochastic measures and scalar or operator bimeasures, connecting these tools to integral representations of nonstationary process classes, including harmonizable and V-bounded processes. Its subject matter brings together probability, functional analysis, and the study of time series.

Good fit for readers who enjoy

  • Researchers or advanced students working on stochastic processes and time series
  • Readers interested in Hilbert- or Banach-space methods in probability
  • Those seeking a research expository treatment of stochastic measures and process representations

Themes

Infinite-dimensional stochastic processesStationary and nonstationary time seriesHilbert and Banach spacesStochastic measures and bimeasuresIntegral representations

Based on publisher information and book metadata.

Book overview

This is a development of the book entitled Multidimensional Second Order Stochastic Processes. It provides a research expository treatment of infinite-dimensional stationary and nonstationary stochastic processes or time series, based on Hilbert and Banach space-valued second order random variables. Stochastic measures and scalar or operator bimeasures are fully discussed to develop integral representations of various classes of nonstationary processes such as harmonizable, V-bounded, Cram

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