• Communications for Statistical Applications and Methods
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• 제20권3호
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• pp.207-215
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• 2013

In this paper, we implement an empirical study to test whether the time series of daily returns in stock and Won/USD exchange markets is strictly stationary or explosive. The results indicate that only a few series show nonstationary volatility when dramatic events erupted; in addition, this nonstationary behavior occurs more often in the Won/USD exchange market than in the stock market.

• 응용통계연구
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• 제33권6호
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• pp.713-722
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• 2020

본 논문에서는 금융시계열의 특징인 비대칭 변동성을 연구하고 있다. 멱변환을 동시에 고려한 멱변환-비대칭 GARCH 모형을 소개하고 있다. 변동성이 비정상인 모형을 다루고 있으며 오차항으로 표준정규분포와 더불어 표준화 t-분포도 고려하여 변동성 정상/비정상 조건을 제시하고 있다. 미국 주가 시계열인 다우지수 적용사례를 예시하였다.

• 한국음향학회:학술대회논문집
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• 한국음향학회 2002년도 하계학술발표대회 논문집 제21권 1호
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• pp.41-44
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• 2002

Blind source separation (BSS) is a fundamental problem that is encountered in many practical applications. In most existing methods, stationary sources are considered higher-order statistics is necessary either explicitly or implicitly. But, many natural signals are nonstationary, and it is possible to perform BSS using only second-order statistics. Our method is based on only second order statistics. The algorithms are developed using the gradient descent method in orthogonality constraint and their performance is confirmed by numerical experiments.

• Journal of the Korean Statistical Society
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• 제26권3호
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• pp.365-382
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• 1997

In this paper we study the behaviors of the generalized Durbin-Watson (DW) statistics when the nonstationary seasonal time series regression model is misspecified. It is observed that when the series is seasonally integrated the generalized DW statistic for the seasonal period order autocorrelation converges in probability to zero while teh generalized DW statistic for the first order autocorrelation has nondegenerate asymptotic distribution. When the series is regularly and seasonally integrated the generalized DW for the first order autocorrelation still converges in probability to zero.

• Communications for Statistical Applications and Methods
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• 제5권1호
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• pp.55-67
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• 1998

Recent work by Shin and Sarkar (1996) examines model misspecification problems for nonstationary time series. Shin and Sarkar introduce a general regression model with integrated errors and one system of integrated regressors and discuss the limiting distributions of the OLS estimators and the usual OLS statistics such as $\hat{\sigma^2}$t, DW and $R^2$. We analyze three different model misspecification problems through a Monte Carlo study and investigate each model misspecification problem. Our Monte Carlo experiments show that DW and $R^2$ can be in general used as diagnostic tools to detect spurious regression, misspecification of nonstationary autoregressive and polynomial regression models.

• Communications for Statistical Applications and Methods
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• 제30권4호
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• pp.369-388
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• 2023

In this paper, we develop the two-step procedure that detects and estimates the position of structural changes for multivariate nonstationary time series, either on mean parameters or second-order structures. We first investigate the presence of mean structural change by monitoring data through the aggregated cumulative sum (CUSUM) type statistic, a sequential procedure identifying the likely position of the change point on its trend. If no mean change point is detected, the proposed method proceeds to scan the second-order structural change by modeling the multivariate nonstationary time series with a multivariate locally stationary Wavelet process, allowing the time-localized auto-correlation and cross-dependence. Under this framework, the estimated dynamic spectral matrices derived from the local wavelet periodogram capture the time-evolving scale-specific auto- and cross-dependence features of data. We then monitor the change point from the lower-dimensional approximated space of the spectral matrices over time by applying the dynamic principal component analysis. Different from existing methods requiring prior information on the type of changes between mean and covariance structures as an input for the implementation, the proposed algorithm provides the output indicating the type of change and the estimated location of its occurrence. The performance of the proposed method is demonstrated in simulations and the analysis of two real finance datasets.

• 한국정보과학회:학술대회논문집
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• 한국정보과학회 2002년도 봄 학술발표논문집 Vol.29 No.1 (B)
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• pp.289-291
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• 2002

Host of source separation methods focus on stationary sources so higher-order statistics is necessary In this paler we consider a problem of source separation when sources are second-order nonstationary stochastic processes . We employ the natural gradient method and develop learning algorithms for both 1inear feedback and feedforward neural networks. Thus our algorithms possess equivariant property Local stabi1iffy analysis shows that separating solutions are always locally stable stationary points of the proposed algorithms, regardless of probability distributions of

• 응용통계연구
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• 제7권1호
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• pp.103-112
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• 1994

본 논문에서는 비정상(단위근) 시계열이 포함된 다변량 시계열 자료에서 단위근에 해당되는 계수행렬 추정량의 극한 분포가 정상시계열의 유무에 상관없이 일정하다는 것을 밝혔다. 또한 단위근만 존재하는 다변량 시계열에서 다중단위근을 검정하는 검정통계량을 제안하였다.

• Journal of the Korean Statistical Society
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• 제27권1호
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• pp.67-90
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• 1998

In this paper we analytically study model misspecification that arises in regression analysis of nonstationary seasonal time series. We assume the underlying data generating process is a seasonally or a regularly and seasonally integrated process. We first study consequences of totally misspecified cases where seasonal indicator variables, a linear time trend, or another statistically independent seasonally integrated process are used as predictor variables in order to model the nonstationary seasonal behavior of the dependent variable. Then we study consequences of partially misspecified cases where the dependent variable and a predictor variable are cointegrated at some, but not all of the frequencies corresponding to the nonstationary roots.

• 한국음향학회지
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• 제27권7호
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• pp.386-393
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• 2008

본 논문에서는 비정상 잡음환경에서 음질향상을 위한 새로운 방법을 제안한다. 정상 잡음환경에서 음질향상을 위한 잡음제거 방법으로 주파수 차감법이 잘 알려져 있다. 그러나 실제 잡음환경은 대 부분 비정상적인 특성을 나타낸다. 제안한 방법은 다양한 잡음 과 비정상 환경에서 잘 동작 할 수 있도록 적응 임계 치를 위한 자동제어 파라미터를 사용한다. 특히, 자동제어 파라미터는 a posteriori SNR을 이용한 선형함수를 적용하여 잡음레벨의 증감에 따라 적응 임계 치를 제어한다. 제안한 알고리즘은 음질향상을 위해 Hangover (HO)을 이용한 주파수 차감법과 결합한다. 알고리즘의 성능은 다양한 잡음환경에서 ITU-T P.835 signal distortion (SIG)와 segment signal to-noise ratio (SNR)로 평가하여 (HO)을 이용한 음성검출과 minimum statistics (MS) 방법에 비해 우수한 결과를 나타냈다