An Introduction to the Theory of Point Processes, Vol. I: Elementary Theory and Methods

By J. Scargle. Technometrics, 2004

853 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8a94ecbe07e1fcf03c587cca45bbbf86d44a6e0c

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In Applied Mathematics

Citations in the corpus

Learning Determinantal Point Processes (2011, background): “Determinantal point processes, introduced to model fermions (Macchi, 1975), also arise in studies of non-intersecting random paths, random spanning trees, and eigenvalues of random matrices (Daley and Vere-Jones, 2003; Borodin and Soshnikov, 2003; Hough et al., 2006).”
The Surprising Mathematics of Longest Increasing Subsequences (2015, background): “A well-known, and easy to prove, property of the Poisson point process (see [29], Exercise 2.”
Modern Statistics for Spatial Point Processes * (2007, background): “One natural extension of the Poisson process is a Cox process X driven by a non-negative process = ( (u))u∈S , such that conditional on , X is a Poisson process with intensity function (Cox, 1955; Matérn, 1971; Grandell, 1976; Daley & Vere-Jones, 2003).”
Lecture Notes: Temporal Point Processes and the Conditional Intensity Function (2018, methodology): “On the other hand, measure theory is not assumed; for a much more thorough treatment with all the measure theoretical details, see Daley and Vere-Jones (2003) and Daley and Vere-Jones (2008).”
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.”
Hawkes Processes (2015, methodology): “III of [9]).”
Modeling and Analysis of Cellular Networks Using Stochastic Geometry: A Tutorial (2016, methodology): “Section II gives an overview of SG. Section III introduces a basic system model which is used to introduce SG analysis.”
Default and Information (2006, neutral): “This definition is closer to the classic definition of the intensity in the theory of point processes, see Daley and Vere-Jones (2003) for example.”
The permanental process (2006, background): “…Boson process; Cox process; density of spatial point process; determinantal process; factorial moment measure; fermion process; Gaussian process; infinite divisibility; simulation; spatio-temporal process; weighted permanent 2000 Mathematics Subject Classification: Primary 60G55 Secondary 62M30”
Distributionally Robust Stochastic Optimization with Wasserstein Distance (2016, background): “…N i.i.d. sample paths (cid:98) η i = M i m =1 δ (cid:98) ξ im , i = 1 , . . . , N , the log-likelihood function (see, e.g. Daley and Vere-Jones [15]) is written as A common practice is to partition the time horizon [0 , T ] into several intervals, and assume a ( t ) is piecewise constant on…”
Structured Determinantal Point Processes (2010, background): “Determinantal point processes, introduced to model fermions [10], also arise in studies of non-intersecting random paths, random spanning trees, and eigenvalues of random matrices [3, 2, 7].”