General hypothesis: non-homogeneous Poisson process
The fractional non-homogeneous Poisson process
... a non-homogeneous fractional Poisson process by replacing the time variable in the fractional Poisson process of renewal type with an ap- propriate function of ...resulting ...
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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 ...that non-homogeneous fractional Poisson processes can be useful for ...
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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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Event series prediction via non homogeneous Poisson process modelling
... A non-stationary, non-ergodic model for sparse event series As illustrated in Figure 1, this approach is only possible by using forerunner realizations from a stochastic process to shed light on the ...
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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 ...on non-informative ...
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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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Unification of finite failure non-homogeneous Poisson process models through test coverage
... ing product-release times. There are two types of coverage deni- tions in literature: control-ow and data-ow coverage[4, 8, 9, 16]. Each coverage criterion proposed in the literature captures some im- portant aspect of a ...
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Two Sample Bayesian Predictive Analyses for an Exponential Non Homogeneous Poisson Process in Software Reliability
... a non-homo- geneous Poisson process to model failure times observed during software test ...testing process. Bayesian methods based on non-informative priors have been adopted to ...
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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
... 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
... law process is adequate for the retweets of the top original should not be assumed to automatically apply to the retweets of every other ...law process (or the hybrid process) will give more similar ...
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Intensity estimation of non-homogeneous Poisson processes from shifted trajectories
... some Poisson counting processes (see [ 42 ]) which is not of homogeneous intensity as pointed in [ 18 ] and [ 43 ...underlying Poisson process quantifies the rate of expected reads for a ...
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Modeling and projecting the occurrence of bivariate extreme heat events using a non-homogeneous common Poisson shock process
... In order to identify if one observation has an excessive influence on the fitted model, an influence plot based on the ratio likelihood test is suggested. An indicator variable equal to 1 for the observation analysed is ...
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Comparing the Adequacy of Some Non Homogeneous Poisson Models to Estimate Ozone Exceedances in Mexico City
... The non-homogeneous approach is going to be fol- lowed here as ...the Poisson process modelling the ...best Poisson model is selected for the data considered here, then we may per- form ...
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Non Homogeneous Poisson Processes Applied to Count Data: A Bayesian Approach Considering Different Prior Distributions
... 5) ~ k k where k 1 to k k 0 , k g where P(λ) denotes the Poisson distribution with pa- rameter λ. Observe that the prior distributions for k and α are improper priors. With this choice of prior distribution we ...
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Three Node Tandem Communication Network Model with Dynamic Bandwidth Allocation and Non Homogeneous Poisson Arrivals
... a non homogeneous Poisson process and utilizing the dynamic bandwidth allocation strategy of ...The non homogeneous Poisson arrivals can model the time dependent nature of ...
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Analysis of Ozone Behaviour in the City of Puebla Mexico Using Non Homogeneous Poisson Models with Multiple Change Points
... some non-homogeneous Poisson models are considered to study the behaviour of ozone in the city of Puebla, ...the non-homogeneous Poisson ...
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Supervised gamma process Poisson factorization
... very general framework for factorization of count ...example, non-negative matrix factorization [Lee and Seung, 2001, Cemgil, 2009], with the objective to minimize the Kullback-Leibler divergence between X ...
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Filtered Poisson Process Bandit on a Continuum
... filtered 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 ...
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The largest fragment of a homogeneous fragmentation process
... of homogeneous fragmentation processes with the universality class of logarithmically correlated fields by describing the processes’ extremal behaviour and arguing that the rigorous result we obtain is consistent ...
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