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  3. Brownian Motion, the Fredholm Determinant, and Time Series Analysis
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  • Publisher:
    Cambridge University Press
    Publication date:
    December 2024
    January 2025
    ISBN:
    9781009567008
    9781009566995
    DOI:
    https://doi.org/10.1017/9781009567008
    Dimensions:
    (229 x 152 mm)
    Weight & Pages:
    0.627kg, 352 Pages
    Dimensions:
    Weight & Pages:
    • Series:
    Institute of Mathematical Statistics Monographs (9)
    Subjects:
    Probability Theory and Stochastic Processes, General Statistics and Probability, Statistical Theory and Methods, Statistics and Probability
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    Series:
    Institute of Mathematical Statistics Monographs (9)
    Subjects:
    Probability Theory and Stochastic Processes, General Statistics and Probability, Statistical Theory and Methods, Statistics and Probability
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    Book description

    Brownian motion is an important topic in various applied fields where the analysis of random events is necessary. Introducing Brownian motion from a statistical viewpoint, this detailed text examines the distribution of quadratic plus linear or bilinear functionals of Brownian motion and demonstrates the utility of this approach for time series analysis. It also offers the first comprehensive guide on deriving the Fredholm determinant and the resolvent associated with such statistics. Presuming only a familiarity with standard statistical theory and the basics of stochastic processes, this book brings together a set of important statistical tools in one accessible resource for researchers and graduate students. Readers also benefit from online appendices, which provide probability density graphs and solutions to the chapter problems.

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