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On the evaluation of risk models with bivariate integer-valued time series

Lithuanian Mathematical Journal, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Mi, Hu, Xiang
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Periodic integer-valued bilinear time series model

Communications in Statistics - Theory and Methods, 2016
ABSTRACTThis paper deals with the study of some probabilistic and statistical properties of a periodic integer-valued diagonal bilinear model. The existence of a periodically strict stationary integer-valued process is shown. Sufficient conditions for the periodically stationary, both in the first and second orders, are established. The closed-forms of
Mohamed Bentarzi, Wissam Bentarzi
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Exponential family QMLE-based CUSUM test for integer-valued time series

Communications in Statistics - Simulation and Computation, 2021
This study considers testing for parameter changes in integer-valued time series models based on one parameter exponential family quasi-maximum likelihood estimates.
Sangyeol Lee, Sangjo Lee
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Robust estimation for general integer-valued time series models

Annals of the Institute of Statistical Mathematics, 2019
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Kim, Byungsoo, Lee, Sangyeol
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Integer-valued time series risk model with surrender and investment

2023
In this study, we construct the discrete-time risk models based on integer-valued time series models by incorporating the concepts of surrender and investment. The surrender considered in this study is the situation that the policyholder decides to exit the policy before maturity date.
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Hysteretic Poisson INGARCH model for integer-valued time series

Statistical Modelling, 2017
This study proposes a new model for integer-valued time series—the hysteretic Poisson integer-valued generalized autoregressive conditionally heteroskedastic (INGARCH) model—which has an integrated hysteresis zone in the switching mechanism of the conditional expectation.
Truong, Buu-Chau   +2 more
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Branching processes with immigration and integer-valued time series

2009
Summary: We indicate how integer-valued autoregressive time series \(\text{GINAR} (d)\) of order \(d\), \(d\geq 1\), are simple functionals of multitype branching processes with immigration. This allows the derivation of simple criteria for the existence of a stationary distribution of the time series, thus proving and extending some results in the ...
Dion, J., Gauthier, G., Latour, A.
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A special integer-valued bilinear time series model with applications

2021
Summary: The present work proposes a special integer-valued bilinear time series model based on the thinning operators. Basic probabilistic and statistical properties of this class of models are discussed. Moreover, parameter estimation methods in the time and frequency domains and forecasting are addressed.
RAMEZANİ, Sakineh   +1 more
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Predicting hospital admissions with integer-valued time series

2019
Prediction of seasonal epidemics have beenwidely treated in the medical literature, with various methods to forecast the future cases of a given disease, when it’s about infectious diseases: compartmental methods that forecast the number of persons at each state of the epidemic (susceptible, infected, resistant) are used(1), as well as methods based on
Spiga, Radia   +2 more
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Integer-valued APARCH processes in the analysis of time series of counts

2016
The Asymmetric Power Arch representation for the volatility was introduced by Ding et al.(1993) in order to account for asymmetric responses in the volatility in the analysis of continuous-valued financial time series like, for instance, the log-return series of foreign exchange rates, stock indices or share prices. As reported by Brannas and Quoreshi (
Costa, Maria Conceição   +2 more
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