The elements of Hawkes processes / Patrick J. Laub, Young Lee, Thomas Taimre.

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The elements of Hawkes processes / Patrick J. Laub, Young Lee, Thomas Taimre.

9783030846398 (electronic bk.)
3030846393 (electronic bk.)
9783030846381
3030846385

Cham : Springer, [2021]

©2021

English

1 online resource : illustrations (chiefly color)

10.1007/978-3-030-84639-8 doi

QA401 .L38 2021

511/.8

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.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed January 21, 2022).

Print version: 9783030846381

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