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Periodic point processes: Theory and application

Applied Stochastic Models in Business and Industry, 2020
AbstractWe address the problems of extracting information generated by one dimensional periodic point processes. These problems arise in numerous situations, from astronomy and biomedical applications to reliability and quality control and signal processing. We divide our analysis into two cases, namely single and then multiple source(s).
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Autonomous and periodic processes

1977
In this chapter, we discuss some fundamental properties of autonomous and periodic RFDEs. Because many of these properties also hold for abstract processes, we will develop the theory in an abstract setting and point out special features that apply to RFDEs.
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Periodic Ornstein-Uhlenbeck processes driven by Lévy processes

Journal of Applied Probability, 2002
In this paper, the class of periodic Ornstein-Uhlenbeck processes is defined. It is shown that periodic Ornstein-Uhlenbeck processes are stationary Markov random fields and the class of stationary distributions is characterized. In particular, any self-decomposable distribution is the stationary distribution of some periodic Ornstein-Uhlenbeck process.
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Processing Periodic Programs

2016
This chapter introduces you to the basic settings or the special programs you need to run in a number of applications within SAP ERP at the end of each fiscal year in order to ensure that adequate settings and processes relating to the appropriate applications for the following fiscal year is ready for you to work in. You will learn how to perform:
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Free field theory and observables of periodic Macdonald processes

Journal of Combinatorial Theory - Series A, 2021
Shinji Koshida
exaly  

Periodic solution of stochastic process in the distributional sense

Journal of Evolution Equations, 2021
Guangying Lv, Hongjun Gao, Jinlong Wei
exaly  

A Scalable Gaussian Process for Large-Scale Periodic Data

Technometrics, 2023
Changming Cheng, Qian Xiao
exaly  

Lumping Processes of Periodic ARMA Processes

2009
In this article various lumping processes are defined for periodic ARMA (PARMA) processes, namely, the forward, the backward and the cyclic lumping processes. The inter-relations between the parameters of these lumping processes are obtained. It is then proved that stationarity of any lumped process implies sta¬tionarity of all other lumped processes.
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The admissibility of periodic processes and existence theorems for periodic solutions. II

1997
The authors consider systems of the form \[ x' = A(t,x)x +B(t,x) f(t,x), \tag{1} \] where \( A: \mathbb{R}^{1+n} \to \Hom(\mathbb{R}^n, \mathbb{R}^n), B: \mathbb{R}^{1+n} \to \Hom( \mathbb{R}^{n}, \mathbb{R}^{n}),\) \( f: \mathbb{R}^{1+n} \to \mathbb{R}^{m} \) are functions with specific properties. Further let \( X: \mathbb{R} \to \Omega (\mathbb{R}^n)
Petrova, V. V., Tonkov, E. L.
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