The homogeneous Poisson point process
From symmetry breaking to Poisson Point Process in 2D Voronoi Tessellations: the generic nature of hexagons
... A great deal of theoretical and computational work has focused on a more specific and tractable problem, that of studying the statistical properties of the geometric characteristics of Poisson-Voronoi ...
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The fractional non-homogeneous Poisson process
... fractional homogeneous Poisson process e N α (t) = N 1 (Y α (t)) and replaces the time with a rate function ...heuristic point of view, we expect that non-homogeneous fractional ...
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Event series prediction via non homogeneous Poisson process modelling
... include Poisson Networks and Cascades [21], CT-NOR models [20], Gaussian-process- modulated renewal process models [24], [10], Piecewise- Constant Conditional Intensity Models (PCIMs) [7] and ...
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Bayesian Predictive Analyses for Logarithmic Non Homogeneous Poisson Process in Software Reliability
... DOI: 10.4236/oalib.1104767 5 Open Access Library Journal 3. Main Results for Prediction Using Non-Informative Priors In this section we address the four issues stated in Section 2.1 using the Bayesian approach. The main ...
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Strong convergence of a class of non-homogeneous Markov arrival processes to a Poisson process
... [10] Krylov, N.V. and Zatezalo, A. Filtering of finite-state time-nonhomogeneous Markov pro- cesses, a direct approach. Appl. Math. Optim., 42:229–258, 2000. [11] Last, G. and Brandt, A. Marked Point Processes on ...
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Poisson process bandits:Sequential models and algorithms for maximising the detection of point data
... In numerous settings in areas as diverse as security, ecology, astronomy, and logistics, it is de- sirable to optimally deploy a limited resource to observe events, which may be modelled as point data arising ...
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Modeling and projecting the occurrence of bivariate extreme heat events using a non-homogeneous common Poisson shock process
... Bivariate point processes for the occurrence of extremes The excess over threshold approach is often used to analyse extreme events in climatology and other environmental ...a Poisson process (PP), ...
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A hierarchical model of non-homogeneous Poisson processes for Twitter retweets
... hybrid process may not be applicable to all kinds of online social media data of all timescales, it should still be useful to data regarding information diffusion within a time span of a single event with no ...
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Intensity estimation of non-homogeneous Poisson processes from shifted trajectories
... statistical point of view, Chip-Seq data may be considered as repeti- tions of some Poisson counting processes (see [ 42 ]) which is not of homogeneous intensity as pointed in [ 18 ] and [ 43 ...
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Poisson approximation for some point processes in reliability
... λ = X i∈M π(i)µ(i). This fact is known and has been investigated for various applications. The closest context of reliability theory is [1], where the underlying Poisson process is either homogeneous ...
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Filtered Poisson Process Bandit on a Continuum
... non-homogeneous Poisson process. Point data in the filtered sample are then revealed to the decision-maker, whose reward is the total number of revealed ...the Poisson in- tensity ...
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The fractional non-homogeneous Poisson process
... fractional Poisson process by replacing the time variable in the fractional Poisson process of renewal type with an ap- propriate function of ...resulting process by deriving its ...
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Limit theorems for the fractional non-homogeneous Poisson process
... n→∞ S. (for details see Chapter XVII in Feller (1971) for example). In other words the distribution of the X k ’s is in the domain of attraction of a stable law. In the following, we will derive limit theorems for the ...
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Deterministic walk on Poisson point process
... for Poisson outdegree-one graphs which can be interpreted as a counterpart of the mass transport principle: roughly speaking, if there exists, with positive probability, an infinite forward branch then the ...
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The Poisson equation in homogeneous Sobolev spaces
... We consider Poisson’s equation in an n -dimensional exterior domain G (n ≥ 2 ) with a suf- ficiently smooth boundary.. (1.1).[r] ...
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Unification of finite failure non-homogeneous Poisson process models through test coverage
... non-homogeneous Poisson process (ENHPP) model and show that previously reported Non- Homogeneous Poisson Process (NHPP) based models, with bounded mean value functions, are ...
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Two Sample Bayesian Predictive Analyses for an Exponential Non Homogeneous Poisson Process in Software Reliability
... This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract The Goel-Okumoto software reliability model is one of the earliest attempts ...
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One Sample Bayesian Predictive Analyses for an Exponential Non Homogeneous Poisson Process in Software Reliability
... Nonhomogeneous Poisson Process, is one of the earliest software reliability models to be ...quality process control, real-time sensor networks, air- crafts, nuclear reactors among others, we address ...
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A hierarchical model of non-homogeneous Poisson processes for Twitter retweets
... 2 Open Lab, School of Computing, Newcastle University, UK Abstract– We present a hierarchical model of non-homogeneous Poisson processes (NHPP) for information diffusion on online social media, in ...
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Some Applications of the Poisson Process
... The Poisson process is a stochastic process that models many real-world ...the Poisson process and discuss some facts as well as some related probability ...
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