• 한국심리학회지 : 문화 및 사회문제
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• 제16권4호
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• pp.447-468
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• 2010

본 연구의 목적은 자기회귀 교차지연 모델 (ARCL: autoregressive cross-lagged model)을 통해 검증된 청소년 비행과 일탈적 자아개념의 상호적 인과관계(이은주, 정익중, 2009)를 잠재 상태-특성 자기회귀 모델 (LST-AR: latent state-trait autoregressive model)의 적용을 통해 재검증하는데 있다. 일반적으로 상호적 인과관계의 검증을 위해 ARCL 모델이 적용되지만, 일탈적 자아개념이 갖고 있는 특성적 요인의 변량을 통제하지 않은 상태에서 비행과의 상호적 영향을 분석하게 되면 비행이 일탈적 자아개념에 미치는 영향에 대한 해석이 왜곡될 수 있다. 따라서 LST-AR 모델을 통해 일탈적 자아개념의 안정적 특성 및 변동적 상태를 구분하고, 특성적 요인을 통제한 후 상태적 일탈자아와 비행의 상호적 인과관계를 살펴보았다. 본 연구의 분석에는 한국청소년패널조사의 중2에서 고3까지 5년 종단자료가 활용되었다. 연구결과, 일탈적 자아개념과 비행의 상호적 인과관계가 재검증되었을 뿐만 아니라 일탈적 자아개념의 안정적 특성 및 변동적 상태 요인에 따라 비행과의 상호적 인과관계가 다를 수 있음도 확인되었다. 마지막으로 상호적 인과관계의 연구에서 안정적 특성과 변동적 상태 요인의 구분에 대한 방법론적 의미가 논의되었다.

• 산업경영시스템학회지
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• 제35권3호
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• pp.52-61
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• 2012

The design method for cumulative sum (CUSUM) control charts, which can be robust to autoregressive moving average (ARMA) modeling errors, has not been frequently proposed so far. This is because the CUSUM statistic involves a maximum function, which is intractable in mathematical derivations, and thus any modification on the statistic can not be favorably made. We propose residual-based robust CUSUM control charts for monitoring autocorrelated processes. In order to incorporate the effects of ARMA modeling errors into the design method, we modify parameters (reference value and decision interval) of CUSUM control charts using the approximate expected variance of residuals generated in model uncertainty, rather than directly modify the form of the CUSUM statistic. The expected variance of residuals is derived using a second-order Taylor approximation and the general form is represented using the order of ARMA models with the sample size for ARMA modeling. Based on the Monte carlo simulation, we demonstrate that the proposed method can be effectively used for statistical process control (SPC) charts, which are robust to ARMA modeling errors.

• 한국컴퓨터정보학회논문지
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• 제4권4호
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• pp.101-112
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• 1999

NPEG은 ISO 산하의 표준화 위원회에서 동영상 압축 기술의 필요에 의해 표준화된 동영상 압축 기술로 통신상에서 더 높은 비트율의 고화질 동화상 실현의 요구에 의해 1995년에 MPEG 2가 개발되었다. 본 논문에서는 VBR MPEG의 코드화된 완전한 동화상 통신을 위해 비선형 시계열 방식으로 효율적이고도 정확한 TAR모델 설계 알고리즘을 제안하며 실질적인 동영상 비디오 추적에 대한 통계적 특성을 보여주는 시뮬레이션 결과를 제시하고자 한다.

• Communications for Statistical Applications and Methods
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• 제21권3호
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• pp.245-251
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• 2014

Two exponential inequalities are established for a wide class of general weakly dependent sequences of random variables, called ${\psi}$-weakly dependent process which unify weak dependence conditions such as mixing, association, Gaussian sequences and Bernoulli shifts. The ${\psi}$-weakly dependent process includes, for examples, stationary ARMA processes, bilinear processes, and threshold autoregressive processes, and includes essentially all classes of weakly dependent stationary processes of interest in statistics under natural conditions on the process parameters. The two exponential inequalities are established on more general conditions than some existing ones, and are proven in simpler ways.

• Communications for Statistical Applications and Methods
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• 제18권6호
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• pp.809-816
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• 2011

A tree-indexed autoregressive(AR) process is a time series defined on a tree which is generated by a branching process and/or a deterministic splitting mechanism. This short article is concerned with conditional heteroscedastic structure of the tree-indexed AR models. It has been usual in the literature to analyze conditional mean structure (rather than conditional variance) of tree-indexed AR models. This article pursues to identify quadratic conditional heteroscedasticity inherent in various tree-indexed AR models in a unified way, and thus providing some perspectives to the future works in this area. The identical conditional variance of sisters sharing the same mother will be referred to as the branching heteroscedasticity(BH, for short). A quasilikelihood but preliminary estimation of the quadratic BH is discussed and relevant limit distributions are derived.

• Journal of the Korean Data and Information Science Society
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• 제25권5호
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• pp.1137-1149
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• 2014

Since the bifurcating autoregressive (BAR) model was developed by Cowan and Staudte (1986) to analyze cell lineage data, a lot of research has been directed to BAR and its generalizations. Based mainly on the author's works, this paper is concerned with a contemporary review on the BAR in terms of an overview and perspectives. Specifically, bifurcating structure is extended to multi-cast tree and to branching tree structure. The AR(1) time series model of Cowan and Staudte (1986) is generalized to tree structured random processes. Branching correlations between individuals sharing the same parent are introduced and discussed. Various methods for estimating parameters and related asymptotics are also reviewed. Consequently, the paper aims to give a contemporary overview on the BAR model, providing some perspectives to the future works in this area.

• 한국통계학회:학술대회논문집
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• 한국통계학회 2002년도 추계 학술발표회 논문집
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• pp.265-272
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• 2002

An Integer-valued autoregressive integrated (INARI) model is introduced to eliminate stochastic trend and seasonality from time series of count data. This INARI extends the previous integer-valued ARMA model. We show that it is stationary and ergodic to establish asymptotic normality for conditional least squares estimator. Optimal estimating equations are used to reflect categorical and serial correlations arising from panel count data and variations arising from three random processes for obtaining observation into estimation. Under regularity conditions for martingale sequence, we show asymptotic normality for estimators from the estimating equations. Using cancer mortality data provided by the U.S. National Center for Health Statistics (NCHS), we apply our results to estimate the probability of cells classified by 4 causes of death and 6 age groups and to forecast death count of each cell. We also investigate impact of three random processes on estimation.

• 한국품질경영학회:학술대회논문집
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• 한국품질경영학회 1998년도 The 12th Asia Quality Management Symposium* Total Quality Management for Restoring Competitiveness
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• pp.174-179
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• 1998

This research explores the application of the bootstrap methods to the construction of control limits for the x charts and the EWMA charts based on single observations with stationary autoregressive processes. The subsample means-based control chars in the presence autocorrelation are also considered. We use a technique for inferring confidence intervals using bootstrap, the percentile method. Simulation studies are conducted to compare the performance of the bootstrap method and that of standard method for constructing control charts under several conditions.

• 품질경영학회지
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• 제31권3호
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• pp.126-135
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• 2003

A basic assumption in standard applications of control charts is that the observations are statistically independent. However, this assumption is often violated from processes in many industries. The presence of autocorrelation has a serious impact on the performance of control charts, causing a dramatic increase in the frequency of false alarms. This paper considers a process in which the observations can be modeled as a first order autoregressive(AR(1)) process, and develops (equation omitted) charts with the variable sample size(VSS) scheme for monitoring the mean of this process.

• Communications for Statistical Applications and Methods
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• 제8권2호
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• pp.565-572
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• 2001

This article explores the problem of ergodicity for the nonlinear autoregressive processes with ARCH structure in a very general setting. A sufficient condition for the geometric ergodicity of the model is developed along the lines of Feigin and Tweedie(1985), thereby extending classical results for specific nonlinear time series. The condition suggested is in turn applied to some specific nonlinear time series illustrating that our results extend those in the literature.