Poisson processes
Optimality of Poisson Processes Intensity Learning with Gaussian Processes
... Inhomogeneous Poisson processes are widely used models for count and point data in a variety of applied ...a Poisson process from a realised point ...
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Trivariate Poisson Processes for Modeling the Stage Dependent Cancer Cell Growth
... trivariate Poisson processes is the core objective of this ...loss processes at different independent and inter dependent stages are considered for stochastic modeling of cancer growth in a human ...
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Non Homogeneous Poisson Processes Applied to Count Data: A Bayesian Approach Considering Different Prior Distributions
... This article discusses the Bayesian approach for count data using non-homogeneous Poisson processes, considering different prior distributions for the model parameters. A Bayesian approach using Markov ...
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A Mixture-Exponential Approximation to Finite- and Infinite-time Ruin Probabilities of Compound Poisson Processes
... Compound Poisson Processes," Lecture Notes in Engineering and Computer Science: Proceedings of The International MultiConference of Engineers and Computer Scientists 2017, 15-17 March, 2017, Hong Kong, ...
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Equivalence of Uniqueness in Law and Joint Uniqueness in Law for SDEs Driven by Poisson Processes
... We give an extension result of Watanabe’s characterization for 2-dimensional Poisson processes. By using this result, the equivalence of uniqueness in law and joint uniqueness in law is proved for ...
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Smooth flexible models of nonhomogeneous Poisson processes fit to one or more process realizations
... nonstationary processes encompass a variety of applications with wide spread usage in diverse fields, a number of researchers have developed various methods for modeling these processes using mathematical ...
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ON CONTROLLED POISSON PROCESSES
... Markov processes with homogeneous second component have been investigated in [3] and ...The processes under our investigation are quite useful in the study of service systems with n unreliable components, ...
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A Hyperexponential Approximation to Finite- and Infinite-time Ruin Probabilities of Compound Poisson Processes
... Abstract —This article considers the problem of evaluating infinite-time (or finite-time) ruin proba- bility under a given compound Poisson surplus pro- cess. By approximating the claim size distribution by a finite ...
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Modelling Stopping Criteria for Search Results using Poisson Processes
... a Poisson random variable, the upper limit of the number of relevant documents in the collection (R), subject to a given probability, can be estimated using the cumulative distribution function of N (0, ...
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The Marginal Distributions of a Crossing Time and Renewal Numbers Related with Two Poisson Processes are as Ph-Distributions
... A particular instance of the method of supplementary variables is known as the method of phases and involves ideas of remarkable simplicity which were first proposed by A. K. Erlang. He observed that gamma distributions, ...
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Bayesian nonparametric inference for nonhomogeneous Poisson processes
... When the ROCOF is known to be monotone, then modeling the ROCOF using a mono- tone function would be more eective than the priors given in the previous subsection (as the monotonicity of the ROCOF cannot be guaranteed). ...
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Wang_unc_0153D_18705.pdf
... Taxi service has long been studied in the queuing and transportation literature. [Kendall, 1951] proposes a double-ended queueing model in which both customers and taxis form separate queues. When a customer is matched ...
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The properties of double blind Dutch auctions in a clearing house; some new results for the Mendelson Model
... independent Poisson processes with a common parameter ...these processes become homogeneous spatial Poisson processes (see Cressie, 1993) in price space where the analogue of the ...
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Modeling Recurrent Events in Panel Data Using Mixed Poisson Models
... mixed Poisson process uses the results of [5] in which we de- rive the multivariate asymptotic distributions of statistics and estimators computed over different time intervals us- ing samples observed from mixed ...
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Recurrent Poisson Process Unit for Speech Recognition
... recurrent Poisson process (RPP), consisting of a collection of homogeneous Poisson processes (Kingman 1992) for a series of time intervals, is a special type of temporal point process, in which the ...
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A view on global imbalances and their contribution to the financial crisis
... independent Poisson processes, and on the likelihood of the occurrence of three different types of information events (no news, good news and bad news) which are chosen by nature every day, before the first ...
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A comparison of data-driven and model-based approaches to quantifying railway risk
... non-homogeneous Poisson processes with an exponentially decreasing intensity function to model the changing (decreasing) rate of fatal accidents and has estimated the mean numbers of fatalities given a ...
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Simulation of cluster point processes without edge effects
... cluster processes requires the generation of the parent point process over a region larger than the ac- tual observation window, since one has to allow for all possible parents giving rise to observed daughter ...
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Parameter estimation for stochastic differential equations driven by Wiener and Poisson noise
... Ensemble and temporal parameter estimators are developed for linear and nonlinear stochastic differential equations driven by both Wiener and Poisson processes. Linear moment recursion r[r] ...
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VASI CEK BEYOND THE NORMAL
... compound Poisson OU process and of integrals of this process are themselves essentially compound ...driving processes are the negative binomial process, which turns out to be just a special case of the ...
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