Point Processes

By David Vere-Jones. International Encyclopedia of Statistical Science, 2011

424 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/3681afccac08d7d39fe740863663f4c0fa7f3cd6

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In Applied Mathematics

Citations in the corpus

Convergence to Lévy stable processes under some weak dependence conditions (2009, neutral): “For a comprehensive account on this subject in the independent case, we refer the reader to the expository article by Resnick [38] and to his recent monograph [40].”
Space-time landslide predictive modelling (2019, background): “The approach treats single landslides in a population of landslides as individual realisations from a continuous–space point process (Cox and Isham, 1980; Chiu et al., 2013).”
Characterization of the Generalized Pólya Process and its Applications (2014, background): “See also Cox and Isham (2000) for more examples of applications in different areas. events are renewal processes and nonhomogeneous Poisson processes (NHPPs), including the the most important counting processes is the HPP.”
Point process models for fine-resolution rainfall (2013, background): “Associated with each pulse is a depth, X, so the pulse process is a marked point process (Cox and Isham 1980).”
Dimensionality reduction for large-scale neural recordings (2014, background): “This is a prevalent view in neuroscience, whether it is stated implicitly (for example, averaging spike trains across trials to estimate a time-varying firing rate) or explicitly (for example, statistical models of spike trains 34 ).”
Inverse Problems with Invariant Multiscale Statistics (2016, background): “Showing how to obtain from Z a vector pX is then only a mechanism to satisfy this property which we refer to as projection.”
Criticality in Large-Scale Brain fMRI Dynamics Unveiled by a Novel Point Process Analysis (2012, background): “The resulting time intervals constitute a so-called point process (Cox and Isham, 1980), a construction useful in many areas of science, including neuroscience.”
Large deviations for Markovian nonlinear Hawkes processes (2011, background): “(For a discussion on marked point processes, see Cox [3].)”
On the growth of $L^2$-invariants for sequences of lattices in Lie groups (2012, background): “(We refer the reader to [41], [44] for details.”