Existence of a Periodic and Seasonal INAR Process
A spectral criterion involving the model parameters is given for the existence and uniqueness of a periodically correlated and seasonal non‐negative integer‐valued autoregressive process. The structure of the mean and covariance functions of the periodically stationary distribution of the model is d...
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Published in | Journal of time series analysis Vol. 45; no. 6; pp. 980 - 1005 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Oxford, UK
John Wiley & Sons, Ltd
01.11.2024
Blackwell Publishing Ltd Wiley-Blackwell |
Subjects | |
Online Access | Get full text |
ISSN | 0143-9782 1467-9892 |
DOI | 10.1111/jtsa.12746 |
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Summary: | A spectral criterion involving the model parameters is given for the existence and uniqueness of a periodically correlated and seasonal non‐negative integer‐valued autoregressive process. The structure of the mean and covariance functions of the periodically stationary distribution of the model is derived using its implicit state‐space representation. Two infinite series representations for the process, the moving average, and the immigrant generation, are established. Based on the latter representation, a novel and parallelizable simulation method is proposed to generate the process. |
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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
ISSN: | 0143-9782 1467-9892 |
DOI: | 10.1111/jtsa.12746 |