• Title/Summary/Keyword: 자기회귀 모형

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Filtered Coupling Measures for Variable Selection in Sparse Vector Autoregressive Modeling (필터링된 잔차를 이용한 희박벡터자기회귀모형에서의 변수 선택 측도)

  • Lee, Seungkyu;Baek, Changryong
    • The Korean Journal of Applied Statistics
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    • v.28 no.5
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    • pp.871-883
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    • 2015
  • Vector autoregressive (VAR) models in high dimension suffer from noisy estimates, unstable predictions and hard interpretation. Consequently, the sparse vector autoregressive (sVAR) model, which forces many small coefficients in VAR to exactly zero, has been suggested and proven effective for the modeling of high dimensional time series data. This paper studies coupling measures to select non-zero coefficients in sVAR. The basic idea based on the simulation study reveals that removing the effect of other variables greatly improves the performance of coupling measures. sVAR model coefficients are asymmetric; therefore, asymmetric coupling measures such as Granger causality improve computational costs. We propose two asymmetric coupling measures, filtered-cross-correlation and filtered-Granger-causality, based on the filtered residuals series. Our proposed coupling measures are proven adequate for heavy-tailed and high order sVAR models in the simulation study.

Forecasting attendance in the Korean professional baseball league using GARCH models (일반화 자기회귀 조건부 이분산 모형을 이용한 한국프로야구 관중수의 예측)

  • Lee, Jang-Taek;Bang, So-Young
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.6
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    • pp.1041-1049
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    • 2010
  • In Korean professional baseball, attendance is the largest source of revenue for development of professional baseball and the highest concern of professional baseball teams. So, if there is demand forecasting model, it will be helpful for pennant chasers to work out the strategies for drawing attendance. For this reason, this research intends to suggest the model which estimates Korean professional baseball's attendance and uses all usable variables which have an effect on attendance in limited circumstances. We supposed that dependent variable is attendance as well as several independent variables and error term are homoscedastic variance. And then, we compared the models which assume conditional heteroscedastic variance like GARCH and EGARCH with GARCH-t models which use the assumption that error term's distribution follows student-t distribution. In result of that, we could confirm that the models which were made by using GARCH(1,1)-t made estimates the most accurately among the several models considered.

TAR-GARCH processes as Alternative Models for Korea Stock Prices Data (TAR-GARCH 모형을 이용한 국내 주가 자료 분석)

  • 황선영;김은주
    • The Korean Journal of Applied Statistics
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    • v.13 no.2
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    • pp.437-445
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    • 2000
  • The present paper is introducing a new model so called TAR-GARCH in the context of stock price analysis Conventional models such as AR(l), TAR(l), ARCH(I) and GARCH( 1,1) are briefly reviewed and TAR-GARCH is suggested in analyizing domestic stock prices. Also, relevant iterative estimation procedure is developed. It is seen that TAR-GARCH provides the better fit relative to traditional first order models for stock prices data in Korea.

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공변량을 갖는 패널자기회귀 과정에 대한 베이즈추정

  • 신민웅;신기일
    • Communications for Statistical Applications and Methods
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    • v.1 no.1
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    • pp.94-101
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    • 1994
  • 본 논문은 패널(panel) 자기회귀 모형에서 자기회귀 계수의 추정을 베이지안 방법으로 접근하였는데, 이 때 특별히 Gibbs Sampling 방법을 이용하여 사후분포를 계산하였다. 또한 모의 실험을 통하여 자기회귀계수를 Gibbs Sampling 방법으로 추정한 베이지안 추정치가 non-Bayesian 방법으로 구한 추정치보다 더 우월함을 보였다.

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시간의 흐름에 따른 무조건부 주가분산과 주가형성

  • Lee, Il-Gyun
    • The Korean Journal of Financial Studies
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    • v.14 no.1
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    • pp.41-56
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    • 2008
  • 주식 수익률이 정상적 과정이 아니라 비정상적 과정에 의해서 생성되고 있다는 사실이 여러 실증 분석에서 제시되고 있다. 시계열의 평균이 시간의 흐름에 따라 변하면 이 시계열은 비정상적 과정에 의하여 생성된다. 시간의 흐름에 따라 평균이 변하는 비정상 시계열은 단위근과 공적분에 의하여 시계열의 운동을 모형화하고 있다. 한편 시계열의 비정상성은 분산이 시간의 흐름에 따라 변할 때에도 발생한다. 시간의 흐름에 따라 무조건부 분산은 변하지 않고 있지만 이용 가능한 정보 집합을 조건으로 하는 조건부 분산이 변하는 경우도 있다. 이 같은 성질을 가진 주가 시계열은 자기회귀 조건부 이분산(ARCH) 계통의 과정으로 모형화하고 있다. 그러나 무조건부 분산이 시간의 흐름에 따라 변하면 ARCH 계통은 중대한 모형정립과오(misspecification)에 직면하게 된다. 따라서 본 논문은 무조건부 분산이 시간의 흐름에 따라 변할 때 자기 회귀 과정의 모수를 추정하는 방법을 검토하고, 이 방법을 한국 종합주가 지수에 적용하여 자기회귀 과정의 모수를 추정하였다. 이 방법에 의하여 추정된 2계 자기회귀 과정의 모수값 중 상수항과 제1계 항의 계수는 통상 최소자승법에 의한 값과 유사하다. 그러나 제2계 항 모수의 값은 양자가 상당히 다르다. 최소자승에 의한 제2계 값이 과대 추정되고 있다.

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A study on prediction for attendances of Korean probaseball games using covariates (공변량을 이용한 한국프로야구 관중 수 예측에 대한 고찰)

  • Han, Ga-Hee;Chung, Jigyu;Yoo, Jae Keun
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.6
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    • pp.1481-1489
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    • 2014
  • For predicting yearly total attendances in Korean probaseball games, ARIMA models have been widely adopted so far. In this paper, we discuss two other ways of ARIMAX and growth curves with an exogenous variable to predict the attendances. By using the exogenous variable, it turns out that the prediction has been improved compared to ARIMA. It is concluded that various statistical methods must be considered for better prediction, and its results can be applied to predict the attendances of other pro sports.

Efficient Estimation of Regression Coefficients in Regression Model with Moving Average Process (오차항이 이동평균과정을 따르는 회귀모형에서 회귀계수의 효율적 추정에 관한 연구)

  • 송석현;이종협;김기환
    • The Korean Journal of Applied Statistics
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    • v.12 no.1
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    • pp.109-124
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    • 1999
  • 일반적으로 오차항이 자기상관되어 있는 선형회귀 모형에서는 회귀계수에 대한 보통최소제곱추정량이 효율적이지 못 하다고 알려져 있다. 그러나 이러한 일반화선형회귀모형에서 독립변수의 형태에 따라서는 OLSE의 사용 가능성을 제시하는 모형이 있다. 본 연구에서는 오차항이 일차 이동평균 과정을 따르는 선형회귀모형에서 여러 추정량들 (GLSE, APX, MAPX)에 대한 OLSE의 상대효율함수를 유도하고 비교 분석하고자 한다. 특히 소표본에서 정확한 상대효율값을 구하여 OLSE의 효율성이 크게 떨어지지 않거나 효율성이 나은 회귀모형들을 제시한다.

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An estimation method based on autocovariance in the simple linear regression model (단순 선형회귀 모형에서 자기공분산에 근거한 최적 추정 방법)

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.2
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    • pp.251-260
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    • 2009
  • In this study, we propose a new estimation method based on autocovariance for selecting optimal estimators of the regression coefficients in the simple linear regression model. Although this method does not seem to be intuitively attractive, these estimators are unbiased for the corresponding regression coefficients. When the exploratory variable takes the equally spaced values between 0 and 1, under mild conditions which are satisfied when errors follow an autoregressive moving average model, we show that these estimators have asymptotically the same distributions as the least squares estimators. Additionally, under the same conditions as before, we provide a self-contained proof that these estimators converge in probability to the corresponding regression coefficients.

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Autocovariance based estimation in the linear regression model (선형회귀 모형에서 자기공분산 기반 추정)

  • Park, Cheol-Yong
    • Journal of the Korean Data and Information Science Society
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    • v.22 no.5
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    • pp.839-847
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    • 2011
  • In this study, we derive an estimator based on autocovariance for the regression coefficients vector in the multiple linear regression model. This method is suggested by Park (2009), and although this method does not seem to be intuitively attractive, this estimator is unbiased for the regression coefficients vector. When the vectors of exploratory variables satisfy some regularity conditions, under mild conditions which are satisfied when errors are from autoregressive and moving average models, this estimator has asymptotically the same distribution as the least squares estimator and also converges in probability to the regression coefficients vector. Finally we provide a simulation study that the forementioned theoretical results hold for small sample cases.

Models for forecasting food poisoning occurrences (식중독 발생 예측모형)

  • Yeo, In-Kwon
    • Journal of the Korean Data and Information Science Society
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    • v.23 no.6
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    • pp.1117-1125
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    • 2012
  • The occurrence of food poisoning is usually modeled by meteorological variables like the temperature and the humidity. In this paper, we investigate the relationship between food poisoning occurrence and climate variables in Korea and compare Poisson regression and autoregressive moving average model to select the forecast model. We confirm that lagged climate variables affect the food poisoning occurrences. However, it turns out that, from the viewpoint of the prediction, the number of previous occurrences is more influential to the current occurrence than meteorological variables and Poisson regression model is less reliable.