• 응용통계연구
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• 제31권5호
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• pp.667-675
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• 2018

초고빈도(ultra high frequency; UHF)시계열의 함수적 변동성 측정을 위한 최신 기법인 함수적 변동성 functional GARCH : fGARCH(1, 1) 모형을 소개하고 설명하였다. 실증분석을 위해 R-code fGARCH(1, 1) 프로그램을 KOSPI/현대차 초고빈도 수익률 자료에 적합하여 예시하였다.

• The Journal of Asian Finance, Economics and Business
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• 제7권11호
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• pp.251-257
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• 2020

The study investigates the role of commodity prices and tax purpose recognition on bitcoin prices. Since the introduction of bitcoin in 2008, emphasis has focused on economists, policy-makers and analysts drastically increasing bitcoin's accessibility and commodity values (Dumitrescu & Firică, 2014). This study employs GARCH and EGARCH from ARCH/GARCH family on daily nature data. We measure the volatile behavior of bitcoin by employing auto-regressive conditional heteroscedasticity model with the aim to explore the relationship between major commodities and bitcoin volatility. We focus on major commodities like gold, silver, platinum, and crude oil to be regressed with bitcoin. The daily prices of commodities were retrieved from www.investing.com and bitcoin prices from www.coindesk.com for the period from 29April 2013 to 16 October 2018. Results confirmed the currency's long-term volatile behavior, which is due to its composition and market dynamics, whereas the existence of asymmetric information effect is not confirmed. Tax recognition by other countries may in future help in controlling the volatility as bitcoin is not a country-specific security. But, only silver impacts on volatility in comparison to oil prices and platinum, which is due to its similar features with gold. Eventually, bitcoin can be used for risk diversification and money making.

• 응용통계연구
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• 제13권2호
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• pp.437-445
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• 2000

국내 주가시계열을 분석하기 위해 기존의 비선형시계열모형인 분계점을 가진 자기외귀모형(TAR)과 일반화 이분산자기회귀모형(GARCH)을 비교 분석한 후, 이 두가지 모형을 결합시킨 새로운 모형 TAT-GARCH모형을 제안하였다. 이 모형은 그 자체로도 이론적인 관삼의 대상이 되어 연관된 모수추정 기법을 제시하였고 국내 개별 주가시계열 자료의 분석에 있어서 제안된 모형이 기존의 모형들 보다 상대적으로 더 좋은 예측치를 제공할 수 있음을 특정 9개 회사의 주가분석을 통해 알아보았다.

• 응용통계연구
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• 제24권1호
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• pp.61-69
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• 2011

다양한 GARCH류 모형들의 변동성 함수를 살펴보면 흥미롭게도 거의 대부분 모형에서 수익률의 일차항( rst or der term)이나 수익률과 변동성의 교차항(interaction term)이 나타나지 않는다. 일차항과 교차항은 변동성의 비대칭성을 설명하는 역할을 할 수 있으며 $h_t$의 회귀분석식의 형태로 볼 때 변동성 함수의 일반적인 이차형식(quadratic form)을 구성한다고 할 수 있다. 본 논문에서는 변동성과 수익률들 사이의 교차항 및 일차항을 포함한 이차형식(quadratic form) 변동성 모형들을 소개하고, 국내 금융시계열 자료에 적용한 후 비교 분석하고자 한다.

• 응용통계연구
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• 제16권2호
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• pp.293-303
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• 2003

개입효과가 포함된 시계열 자료에 대한 여러 시계열 모형에 의한 예측 방법들이 비교 분석된다. 개입이 있는 선형 ARIMA 모형, 비선형 ARCH 모형 및 개입이 있는 비선형 ARCH 모형 그리고 TONG 이 제안한 결합예측방법들이 소개되고, 실증분석으로 개입이 있다고 생각되는 한국건축허가면적 자료로부터 그 예측 수월성이 비교된다.

• 응용통계연구
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• 제34권4호
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• pp.623-632
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• 2021

본 연구에서는 여러가지 시계열 모형 중 평활법(가법계절지수, 승법계절지수), 계절 ARIMA 모형, ARARCH 그리고 AR-GARCH 회귀모형을 이용하여 최대 전력수요를 예측하는 방법을 연구하였다. 이 때 가중 평균모형으로 추세를 갖는 시계열 모형과 온도에 대한 회귀 모형을 적절한 가중치로 예측 정확도를 높이는 방법도 연구하였다. 결과적으로 AR-GARCH 회귀모형으로 예측하는 것이 가중 우수함을 보였다.

• Journal of the Korean Data and Information Science Society
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• 제16권2호
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• pp.271-281
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• 2005

Zokian(1993) and Li and Li(1996) developed TARCH(Threshold ARCH) model, considering the asymmetries in volatility. The models are based on Engle(1982)'s ARCH model and Bollerslev(1986)'s GARCH model. However, two TARCH models can be expressed a common model through Box Cox Power transformation, which was used by Higgins and Bera(1992) for developing NARCH(nonlinear ARCH) model. This article shows the PTARCH(Power transformation TARCH) model is necessary in some condition, and it checks the fact that PTARCH model has better performance comparing estimates and RMSE(Root Mean Square Error) with those of Zakoian's TARCH model and Li and Li's TARCH model. PTARCH model would give contribution in asymmetric study as well as heteroscedastic study.

• Journal of Information Technology Applications and Management
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• 제26권6호
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• pp.47-63
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• 2019

The volatility of major crypto currencies was examined and they are diagnosed whether they have a systematic risk or not, by estimating market beta representing systematic risk using GARCH( Generalized Auto Regressive Conditional Heteroskedastieity) model. First, the empirical results showed that their prices are very volatile over time because of the existence of ARCH and GARCH effects. Second, in terms of efficiency, asymmetric GJR model was estimated to be the most appropriate model because the standard error of a market beta was less than that of the OLS model and GARCH model. Third, the estimated market beta of Bitcoin using GJR model was less than 1 at 0.8791, showing that there is no systematic risk. However, unlike OLS model, the market beta of Ethereum and Ripple was estimated at 1.0581 and 1.1222, showing that there is systematic risk. This result shows that bitcoin is less dangerous than Ripple and Ethereum, and ripple is the most dangerous of all three crypto currencies. Finally, the major cryptocurrency found that the negative impact caused greater variability than the positive impact, causing bad news to fluctuate more than good news, and therefore good news and bad news had a different effect on the variability.

• Journal of the Korean Data and Information Science Society
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• 제17권3호
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• pp.983-990
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• 2006

In this paper, we study an asymmetric power fractionally integrated GARCH model and find a region on which the process is stationary ergodic and has long memory property.

• Journal of the Korean Statistical Society
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• 제34권2호
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• pp.161-172
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• 2005

In this paper a nonparametric method is proposed for detecting conditionally heteroscedastic errors in a nonparametric time series regression model where the observation points are equally spaced on [0,1]. It turns out that the first-order sample autocorrelation of the squared residuals from the kernel regression estimates provides essential information. Illustrative simulation study is presented for diverse errors such as ARCH(1), GARCH(1,1) and threshold-ARCH(1) models.