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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 ChapmanāKolmogorov equation. This is physically interpreted as…
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Keywords:
banach space;
alpha alpha;
poisson processes;
semigroup approach ... See more keywords
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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…
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Keywords:
poisson processes;
control charts;
multivariate poisson;
poisson ... See more keywords
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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…
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Keywords:
poisson processes;
tempered fractional;
fractional equations;
poisson ... See more keywords