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Robust estimation for general integer-valued time series models

Byungsoo Kim () and Sangyeol Lee ()
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Byungsoo Kim: Yeungnam University
Sangyeol Lee: Seoul National University

Annals of the Institute of Statistical Mathematics, 2020, vol. 72, issue 6, No 3, 1396 pages

Abstract: Abstract In this study, we consider a robust estimation method for general integer-valued time series models whose conditional distribution belongs to the one-parameter exponential family. As a robust estimator, we employ the minimum density power divergence estimator, and we demonstrate this is strongly consistent and asymptotically normal under certain regularity conditions. A simulation study is carried out to evaluate the performance of the proposed estimator. A real data analysis using the return times of extreme events of the Goldman Sachs Group stock is also provided as an illustration.

Keywords: Robust estimation; Minimum density power divergence estimator; General integer-valued time series; One-parameter exponential family; INGARCH models (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10463-019-00728-0

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