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Networks, Point Processes, and Networks of Point Processes

2020
I consider two classes of statistical models: networks and point processes. These random structures are oftenused in situations where traditional statistical assumptions do not hold (e.g. the data are not independent or identically distributed), meaning extra care must be taken to develop and extend statistical theory and tools to these settings.
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Markov Point Processes

Journal of the London Mathematical Society, 1977
Ripley, B. D., Kelly, F. P.
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Point Processes.

Journal of the Royal Statistical Society. Series A (Statistics in Society), 1991
Fergus Daly, D. R. Cox, V. Isham
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Basics of Stochastic Processes, Point and Marked Point Processes

2015
The study of the dynamic performance of engineered systems subject to uncertainty requires the use of tools from stochastic processes. Although stochastic processes have been used extensively in many disciplines (e.g., see [1, 2, 3, 4]), this chapter will focus on the the mathematical background that supports the models presented later in the book. The
Mauricio Sánchez-Silva   +1 more
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Molecular imaging in oncology: Current impact and future directions

Ca-A Cancer Journal for Clinicians, 2022
Steven P Rowe, Martin G Pomper
exaly  

Change-points for point processes

2018
This chapter studies estimation and testing methods for the intensities of parametric or functional Poisson models, for parametric or nonparametric hazard function under right-censoring and for point processes, with change-points at unknown time thresholds.
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Point Processes.

Journal of the American Statistical Association, 1983
Paul T. Holmes, D. R. Cox, Valarie Isham
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Hawkes Point Processes

2020
Hawkes processes may be regarded as the stochastic form of the Lotka–Volterra model of Example 5.1.26 or as a particular form of a branching point process, in turn a particular case of a cluster point process. They can modelize the growth of an epidemy or seismic activity, in which case it is important to have estimates of the probability distribution ...
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