X11ARIMA Procedure

한국형 X11ARIMA 프로시져에 관한 연구

  • Published : 1998.09.01


X11ARIMA is established on the basis of X11 which is one of smoothing approach in time series area and this procedure was introduced by Bureau of Census of United States and developed by Dagum(1975). This procedure had been updated and adjusted by Dagum(1988) with 174 economic index of North America and has been used until nowadays. Recently, X12ARIMA procedure has been studied by William Bell et.al. (1995) and Chen. & Findly(1995) whose approaches adapt adjusting outliers, Trend-change effects, seasonal effect, arid Calender effect. However, both of these procedures were implemented for correct adjusting the economic index of North America. This article starts with providing some appropriate and effective ARIMA model for 102 indexes produced by national statistical office in Korea; which consists of production(21), shipping(27), stock(27), and operating rate index(21). And a reasonable smoothing method will be proposed to reflect the specificity of Korean economy using several moving average model. In addition, Sulnal(lunar happy new year) and Chusuk effects will be extracted from the indexes above and both of effects reflect contribution of lunar calender effect. Finally, we will discuss an alternative way to estimate holiday effect which is similar to X12ARIMA procedure in concept of using both of ARIMA model and Regression model for the best fitness.

X11ARIMA는 1965년 미국 센서스국에서 개발된 X11분석 방법에 기초한 시계열 분석방법으로 Dagum(1975)에 의해 개발되었다. 이 기법은 Dagum(1988)에 의하여 북미지역의 174개의 경제지수를 바탕으로 일부 기본모형이 수정·보완되어 오늘날에 이르고 있다. 최근에는 회귀 모형과 ARIMA모형을 동시에 고려하여 특이치와 추세 변환효과(outlier arid Trend-change effects), 계절변동(seasonal effect), 그리고 달력효과(calendal effect) 등을 추정한 William 등(1995)과 Chen과 Findley(1995)의 X12ARIMA분석 방법이 소개되었다. 그러나 위의 모든 기법들은 주로 북미지역의 경제지수를 기초로 하고 있다. 본 논문에서는 우리나라의 산업중분류에서 산출되는 102개(생산(27), 출하(27), 재고(27), 가동률(21))의 지수에 대한 우리나라의 표준 ARIMA모형을 제시하고, 우리나라에 적합한 이동평균항수를 제공하고자 한다. 그리고 우리나라의 설, 추석 등의 명절효과를 태양력으로 전환함과 동시에, 최근에 논의되고 있는 X12ARIMA에서 사용되는 회귀모형과 ARIMA모형을 동시에 고려하는 명절효과를 도출하고자 한다.



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