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poisson point process

Deterministic walk on Poisson point process

Deterministic walk on Poisson point process

... a Poisson point process is connected to its k-th nearest neighbour? It is easy to notice that the descending chain argument is not available in this setting and that the graph is more complicated and ...

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Compound Poisson point processes, concentration and oracle inequalities

Compound Poisson point processes, concentration and oracle inequalities

... compound Poisson point processes ...compound Poisson process, see Wang and Ji [35] and the references ...compound Poisson point process with infinite-dimensional ...

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User rate and power optimization for HetNets under Poisson cluster process

User rate and power optimization for HetNets under Poisson cluster process

... Heterogeneous cellular networks (HetNets) consist of different tiers of base stations (BSs) to meet the ever-increasing mobile traffic demand. Due to the random deployment of BSs, Poisson point ...

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Continuous inference for aggregated point process data

Continuous inference for aggregated point process data

... For certain types of data, aggregation need not be as limiting a factor as it may first seem. The kind of data for which the method proposed in the present article can be applied are those in which the locations of the ...

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Some Applications of the Poisson Process

Some Applications of the Poisson Process

... a Poisson process with parameter λ ...the Poisson process, and share the common distribution function G y ( ) = P Y ( k ≤ y ) ...nonhomogeneous Poisson point process in ...

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A generalization of the space-fractional Poisson process and its connection to some Lévy processes

A generalization of the space-fractional Poisson process and its connection to some Lévy processes

... space-fractional Poisson process is a time-changed homogeneous Poisson process where the time change is an independent stable ...ized process by suitably time-changing a superposition ...

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Performance Analysis of Solving Poisson Image Blending Problem by Four-Point EGAOR Iterative Method

Performance Analysis of Solving Poisson Image Blending Problem by Four-Point EGAOR Iterative Method

... ABSTRACT Poisson image blending is one of the useful editing tools in image processing to generate a desirable image which is impossible to ...the Poisson image blending ...

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q Poisson Bases and q Poisson Curves

q Poisson Bases and q Poisson Curves

... Proof. Let C denote a planar q-Poisson curve p(t; q) defined by (14), and L be any straight line, I(C, L) be the number of times C crosses L. Let L be the abscissa axis and establish the coordinate system. Because ...

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Smooth flexible models of nonhomogeneous Poisson processes fit to one or more process realizations

Smooth flexible models of nonhomogeneous Poisson processes fit to one or more process realizations

... Since 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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Bayesian Predictive Analyses for Logarithmic Non Homogeneous Poisson Process in Software Reliability

Bayesian Predictive Analyses for Logarithmic Non Homogeneous Poisson Process in Software Reliability

... testing process. A Non-Homogeneous Poisson Process (NHPP) arising from the Musa-Okumoto (1984) software re- liability model is proposed for the software ...

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Point process based models for rainfall.

Point process based models for rainfall.

... a Poisson process, th a t starts w ith a cell located in time at the storm centre, and term inates after an exponential ...the process, and an approxim ate expression for the probabiUty th a t a ...

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Nonparametric estimation for compound Poisson process via variational analysis on measures

Nonparametric estimation for compound Poisson process via variational analysis on measures

... This paper deals with nonparametric inference for compound Poisson processes. We proposed and analysed new algo- rithms based on the characteristic function fitting (ChF) and convoluted cumulative distribution ...

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Unification of finite failure non-homogeneous Poisson process models through test coverage

Unification of finite failure non-homogeneous Poisson process models through test coverage

... In this paper we have presented an En- hanced Non-Homogeneous Poisson Process (ENHPP) software reliability model which al- lows the explicit incorporation of test cover- age, which can be defective. ...

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Weber s law implies neural discharge more regular than a Poisson process

Weber s law implies neural discharge more regular than a Poisson process

... intermediate connections of stimulus–neuronal and neuronal–psycho- physical responses. In most biophysical and psychophysical experi- ments, the relation of neural response rate and input stimulus intensity generally ...

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Poisson (Co)homology of a Class of Frobenius Poisson Algbras

Poisson (Co)homology of a Class of Frobenius Poisson Algbras

... the Poisson cohomology of the af- fine plane. Pichereau calculate the Poisson homology in 3 dimension affine space (see ...the Poisson (Co)homology of polynomial alge- bra with 3 variable in ...

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Bayesian point process modelling of ecological communities

Bayesian point process modelling of ecological communities

... necessitating point processes such as Markov point processes. Markov point processes model point patterns created in part due to under- lying interactions between the objects representing the ...

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A stochastic marked point process model for earthquakes

A stochastic marked point process model for earthquakes

... Marked point processes are commonly used stochastic mod- els for representing a finite number of events located in space and ...marked point process ...lines. Point process models for ...

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The generalized Weyl Poisson algebras and their Poisson simplicity criterion

The generalized Weyl Poisson algebras and their Poisson simplicity criterion

... of Poisson algebras, the class of generalized Weyl Poisson algebras, is ...as Poisson algebra analogue of generalized Weyl algebras or as giving a Poisson structure to (certain) generalized ...

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Bounds for the approximation of Poisson binomial distribution by Poisson distribution

Bounds for the approximation of Poisson binomial distribution by Poisson distribution

... structure and therefore they are used to being approximated by Poisson distribution. Well-known Le Cam’s inequality is established for providing information on the quality of a Poisson approximation. The ...

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Efficiency of Some Estimators for a Generalized Poisson Autoregressive Process of Order 1

Efficiency of Some Estimators for a Generalized Poisson Autoregressive Process of Order 1

... The paper is organized as follows. In Section 2, for completeness, we review some properties of the generalized Poisson autoregressive process of order 1. In Section 3, we derive the expressions for the ...

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