On the threshold innovation in quasi-likelihood for conditionally heteroscedastic time series
  • Yoon, Jae Eun
  • Hwang, Sun Young
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초록

This work considers conditionally heteroscedastic time series with possibly asymmetric errors (e.g., skewed t-distributions). Suppose that the error distribution is unknown and estimating functions, so called quasi-likelihood (QL) scores are employed to estimate parameters. The quasi-likelihood can be regarded as a special case of the Godambe's optimum estimating functions (see, e.g., Hwang and Basawa (2011)). To capture asymmetry in errors, a threshold-innovation is newly suggested to construct an "optimum" quasi likelihood score. It is shown that the threshold innovation is "better" than the standard innovation especially when errors are asymmetrically distributed. A simulation study is reported and a real data analysis is illustrated.

키워드

ARCHAsymmetric errorsQuasi-likelihoodThreshold-innovation
제목
On the threshold innovation in quasi-likelihood for conditionally heteroscedastic time series
저자
Yoon, Jae EunHwang, Sun Young
DOI
10.1080/03610918.2019.1593453
발행일
2021-07
유형
Article; Early Access
저널명
Communications in Statistics Part B: Simulation and Computation
50
7
페이지
2042 ~ 2053