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Estimation, diagnostics, and extensions of nonparametric Hawkes processes with kernel functions

Estimation, diagnostics, and extensions of nonparametric Hawkes processes with kernel functions

Abstract The Hawkes self-exciting model has become one of the most popular point-process models in many research areas in the natural and social sciences because of its capacity for investigating the clustering effect and positive interactions among individual events/particles. This article discusses a general nonparametric framework for the estimation, extensions, …