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   Articles with "poisson processes" as a keyword



A Semigroup Approach to Fractional Poisson Processes

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recommendations! Published in 2018 at "Complex Analysis and Operator Theory"

DOI: 10.1007/s11785-018-0763-z

Abstract: It is well-known that fractional Poisson processes (FPP) constitute an important example of a non-Markovian structure. That is, the FPP has no Markov semigroup associated via the customary Chapman–Kolmogorov equation. This is physically interpreted as… read more here.

Keywords: banach space; alpha alpha; poisson processes; semigroup approach ... See more keywords

Copula-based control charts for monitoring multivariate Poisson processes with application to hepatitis C counts

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recommendations! Published in 2019 at "Journal of Quality Technology"

DOI: 10.1080/00224065.2019.1571337

Abstract: Abstract In this article, we study attribute control charts for monitoring correlated multivariate Poisson processes that are adequately described by copula models. The work is motivated by the need to study multivariate models for correlated… read more here.

Keywords: poisson processes; control charts; multivariate poisson; poisson ... See more keywords

Copula-based Bayesian estimation of probabilities for two dependent non homogenous compound Poisson processes

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recommendations! Published in 2024 at "Communications in Statistics - Theory and Methods"

DOI: 10.1080/03610926.2024.2369311

Abstract: Abstract Bivariate copulas for two dependent non homogeneous compound Poisson processes (NCPP) are considered. In this scenario, the arrival times of events are assumed to follow two independent non homogeneous Poisson processes (NHPP), but the… read more here.

Keywords: poisson processes; poisson; compound poisson; estimation ... See more keywords

Tempered fractional Poisson processes and fractional equations with Z-transform

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recommendations! Published in 2018 at "Stochastic Analysis and Applications"

DOI: 10.1080/07362994.2020.1748056

Abstract: Abstract In this article, we derive the state probabilities of different type of space- and time-fractional Poisson processes using z-transform. We work on tempered versions of time-fractional Poisson process and space-fractional Poisson processes. We also… read more here.

Keywords: poisson processes; tempered fractional; fractional equations; poisson ... See more keywords

Information Divergences and Likelihood Ratios of Poisson Processes and Point Patterns

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recommendations! Published in 2024 at "IEEE Transactions on Information Theory"

DOI: 10.1109/tit.2024.3472448

Abstract: This article develops an analytical framework for studying information divergences and likelihood ratios associated with Poisson processes and point patterns on general measurable spaces. The main results include explicit analytical formulas for Kullback-Leibler divergences, Rényi… read more here.

Keywords: poisson processes; information; likelihood ratios; point patterns ... See more keywords

Modeling recurrent heart failure risk in type 2 diabetes: impact of flexible HbA1c trajectories using nonhomogeneous Poisson processes

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recommendations! Published in 2025 at "Frontiers in Endocrinology"

DOI: 10.3389/fendo.2025.1472846

Abstract: Background Many clinical trials yielded inconsistent results regarding the effect of intensive glycated hemoglobin control on cardiovascular diseases in type 2 diabetes. We identified distinct HbA1c trajectories and their association with the recurrent hospitalization of… read more here.

Keywords: poisson processes; hba1c trajectories; risk; type diabetes ... See more keywords