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Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.01.003
Abstract: Abstract To better describe the characteristics of time series of counts such as over-dispersion, asymmetry and structural change, this paper considers a class of integer-valued self-exciting threshold autoregressive processes that properly capture flexible asymmetric and…
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Keywords:
exciting threshold;
time series;
series counts;
autoregressive processes ... See more keywords
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Published in 2021 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2021.03.009
Abstract: The purpose of the present paper is to investigate on a class of spherical functional autoregressive processes in order to introduce and study LASSO (Least Absolute Shrinkage and Selection Operator) type estimators for the corresponding…
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Keywords:
lasso estimation;
spherical autoregressive;
autoregressive processes;
estimation spherical ... See more keywords
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Published in 2019 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2018.2870373
Abstract: We consider stationary autoregressive processes with coefficients restricted to an ellipsoid. These are included in the family of autoregressive processes with absolutely summable coefficients. We provide consistency results under different norms for the estimation of…
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Keywords:
consistency;
stationary autoregressive;
results stationary;
autoregressive processes ... See more keywords