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The Elements of Hawkes Processes (Paperback, 1st ed. 2021)
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The Elements of Hawkes Processes (Paperback, 1st ed. 2021)
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Hawkes processes are studied and used in a wide range of
disciplines: mathematics, social sciences, and earthquake
modelling, to name a few. This book presents a selective coverage
of the core and recent topics in the broad field of Hawkes
processes. It consists of three parts. Parts I and II summarise and
provide an overview of core theory (including key simulation
methods) and inference methods, complemented by a selection of
recent research developments and applications. Part III is devoted
to case studies in seismology and finance that connect the core
theory and inference methods to practical scenarios. This book is
designed primarily for applied probabilists, statisticians, and
machine learners. However, the mathematical prerequisites have been
kept to a minimum so that the content will also be of interest to
undergraduates in advanced mathematics and statistics, as well as
machine learning practitioners. Knowledge of matrix theory with
basics of probability theory, including Poisson processes, is
considered a prerequisite. Colour-blind-friendly illustrations are
included.
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