An Introduction to the Theory of Point Processes, Volume II: General Theory and Structure, 2nd Edition by Daryl J. Daley, David Vere‐Jones

By Esko Valkeila. 2008

932 citations recorded by the source corpus.

Subfields: Applied Mathematics, Organic Chemistry, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/b2a3d729c9753479a3f83127b3b1908ee1acca2b

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Citations in the corpus

Mortality Risk Modeling: Applications to Insurance Securitization (2010, positive): “The time ηs can be modeled as the arrival time of the s-th event of a point process, as described in Daley and Vere-Jones (2003). The simplest version would be the arrival times of a Poisson process, in which case the times would have gamma distributions.”
Time2Vec: Learning a Vector Representation of Time (2019, background): “Asynchronous events can also be directly modeled with point processes ( e.g. , Poisson, Cox, and Hawkes point processes) [12, 31, 59, 34, 60] and continuous time normalizing ﬂows [8].”
Janossy Pooling: Learning Deep Permutation-Invariant Functions for Variable-Size Inputs (2018, background): “…drops this projectivity requirement (Diaconis, 1977), which in general, cannot be simpliﬁed beyond ﬁrst sampling the number of observations m , and then sampling their locations from some exchangeable but non-i.i.d. distribution p m exch ( x 1 , . . . , x m ) (Daley & Vere-Jones, 2003).”
Know-Evolve: Deep Temporal Reasoning for Dynamic Knowledge Graphs (2017, methodology): “…of facts recorded in a temporal window [0 , T ) , we learn the model by minimizing the joint negative log likelihood of intensity function (Daley & Vere-Jones, 2007) written as: The ﬁrst term maximizes the probability of speciﬁc type of event between two entities; the second term…”
A weak solution theory for stochastic Volterra equations of convolution type (2019, methodology): “Various multivariate and nonlinear generalizations have also been studied and applied; see Brémaud and Massoulié (1996); Daley and Vere-Jones (2003); Delattre et al. (2016) and the references there.”
A Consistent Metric for Performance Evaluation of Multi-Object Filters (2008, neutral): “2Some authors, such as [20] (see Section A2.”
Recurrent Marked Temporal Point Processes: Embedding Event History to Vector (2016, background): “Temporal point processes [6] are mathematical abstractions for many different phenomena across a wide range of domains.”
Joint Learning of Set Cardinality and State Distribution (2017, background): “For further details on point processes, we refer the reader to textbooks such as (Chiu et al. 2013; Daley and Vere-Jones 2007; Moller and Waagepetersen 2003).”
Poisson process Fock space representation, chaos expansion and covariance inequalities (2009, methodology): “6 Infinitely divisible random measures In this section we consider an infinitely divisible random measure ξ on a complete separable metric space X equipped with the Borel σ-field X , see [24, 6] and [20] for the the special case of a locally compact phase space X.”
Geometrically Corrected Second Order Analysis of Events on a Linear Network, with Applications to Ecology and Criminology (2012, positive): “In this case, we have a version of Campbell’s theorem E [∑ xi∈X h(xi) ] = ∫ L h(u) (u) d1u (1) holding for any Borel measurable real function h on L for which the right-hand side is absolutely integrable (Daley & Vere-Jones, 2008, section 13.1, p. 269).”