Abstract
This article is concerned with count time series taking values in non-negative integers. Along with the first order mean of the count time series, conditional variance (volatility) has recently been paid attention to and therefore various integer-valued GARCH(generalized autoregressive conditional heteroscedasticity) models have been suggested in the last decade. We introduce diverse integer-valued GARCH(INGARCH, for short) processes to count time series and a real data application is illustrated as a case study. In addition, zero inflated INGARCH models are discussed to accommodate zero-inflated count time series.
본 연구에서는 정수값을 갖는 계수 시계열의 조건부 이차적률인 변동성(volatility)을 다루고 있다. 여러 가지 정수값 GARCH, 즉, INGARCH 모형들을 소개하고 계수 시계열인 국내 풍진발생건수에 적용시켜 보았다. 과산포(over-dispersion)와 영과잉(zero-inflation)현상을 계수 시계열의 변동성 분석 입장에서 살펴보았고 향후 분석 모형으로서 영과잉(zero-inflation) INGARCH 모형인 ZI-INGARCH 모형을 살펴보았다.