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Filtering and smoothing formulas of AR(p)-modulated Poisson processes

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Publication:5086307
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DOI10.1080/03610918.2018.1501483OpenAlexW2902728676MaRDI QIDQ5086307

Junrong Liu, Qihong Duan

Publication date: 5 July 2022

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2018.1501483


zbMATH Keywords

filteringclosed-form expressionreference probabilityPoisson observationautoregression model


Mathematics Subject Classification ID

Statistics (62-XX)




Cites Work

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  • Insurance claims modulated by a hidden Brownian marked point process
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  • Maximum likelihood estimation of hidden Markov processes
  • A Poisson-fault model for testing power transformers in service
  • Filtering and change point estimation for hidden Markov-modulated Poisson processes
  • Integer-Valued GARCH Process
  • Some results on regular conditional probabilities
  • General smoothing formulas for Markov-modulated Poisson observations
  • <tex>$QR$</tex>Factoring to Compute the GCD of Univariate Approximate Polynomials
  • Statistical Inference for Probabilistic Functions of Finite State Markov Chains
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