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- W1510196430 abstract "Motivated by multivariate data on epicentres of earthquakes, we suggest nonparametric methods for analysis of point-process data. Our methods are based partly on nonparametric intensity estimation, and involve techniques for dimension reduction and for mapping the trajectory of temporal evolution of high-intensity clusters. They include ways of improving statistical performance by data sharpening, i.e. data pre-processing before substitution into a conventional nonparametric estimator. We argue that the 'true' intensity function is often best modelled as a surface with infinite poles or pole lines, and so conventional methods for bandwidth choice can be inappropriate. The relative severity of a cluster of events may be characterised in terms of the rate of asymptotic approach to a pole. The rate is directly connected to the correlation dimension of the point process, and may be estimated nonparametrically or semiparametrically." @default.
- W1510196430 created "2016-06-24" @default.
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- W1510196430 date "2001-01-01" @default.
- W1510196430 modified "2023-10-03" @default.
- W1510196430 title "Nonparametric analysis of earthquake point-process data" @default.
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- W1510196430 doi "https://doi.org/10.1214/lnms/1215090076" @default.
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