homogeneous Poisson process
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 ...fractional Poisson processes can be useful for modeling systems in which ...
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Limit theorems for the fractional non-homogeneous Poisson process
... non-homogeneous Poisson process time-changed by the inverse α-stable ...Cox process discussing the required choice of ...fractional Poisson process has been recently applied to ...
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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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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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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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Event series prediction via non homogeneous Poisson process modelling
... stochastic process to shed light on the distribution of future events, not for themselves, but for realizations that will subsequently follow in their ...generative process to have occurred in the ...same ...
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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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Intensity estimation of non-homogeneous Poisson processes from shifted trajectories
... non-homogeneous Poisson process has recently attracted a lot of ...a Poisson intensity from a single trajectory has been stud- ied using model selection techniques [ 38 ] and non-linear ...
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Filtered Poisson Process Bandit on a Continuum
... non-homogeneous Poisson process, where the filtering probability depends on the segment selected by the decision-maker, and the Poisson cumulative intensity function is ...the Poisson ...
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Transient Analysis of Communication Network Model with Homogeneous Poisson arrivals and Dynamic Bandwidth Allocation
... Queuing models play a dominant role in many communication systems for optimum utilization of the resources. In this paper, we develop and analyze a two node tandem communication network model with feedback for the first ...
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A Poisson process reparameterisation for Bayesian inference for extremes
... STOR-i Centre for Doctoral Training, Department of Mathematics and Statistics, Lancaster University, Lancaster, LA1 4YF, U.K. Abstract A common approach to modelling extreme values is to consider the excesses above a ...
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Poisson Process and Its Application to the Storm Water Overflows
... the process were presented with preliminary data analysis and hypothesis ...a homogeneous Poisson process, while for the entire data set, the non- homogenous factors start to have significant ...
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The Nonhomogeneous Poisson Process For Fast Radio Burst Rates
... This paper presents the non-homogeneous Poisson process (NHPP) for modeling the rate of fast radio bursts (FRBs) and other infrequently observed astronomical events. The NHPP, well-known in ...
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Strong convergence of a class of non-homogeneous Markov arrival processes to a Poisson process
... Arrival Process. Under the assumption that the environment process is asymptotically time-homogeneous, we discuss a Poisson approximation of the counting process of arrivals when 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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Modeling and projecting the occurrence of bivariate extreme heat events using a non-homogeneous common Poisson shock process
... a Poisson process (PP), see Coles ...nonhomogeneous Poisson process (NHPP) should be consid- ered, see for example Ogata (1988) or Evin and Favre ...
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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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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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