• Title/Summary/Keyword: Stochastic trend

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Is There a Stochastic Non-fundamental Trend in Korean Stock Price?: Inference under Transformed Error Correction Model (우리나라 주가에는 펀더멘털과 무관한 비정상 추세가 존재하는가?: 공적분 및 베버리지-넬슨 분해 접근)

  • Kim, Yun-Yeong
    • KDI Journal of Economic Policy
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    • v.35 no.2
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    • pp.107-131
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    • 2013
  • In this paper, we test and estimate the stochastic non-fundamental trend in Korean stock market. For this, following Kim (2011), we exploit that the long-run equilibrium stock price may be decomposed into fundamental and stochastic non-fundamental trends (i.e., the sum of dividend innovations and a part that are orthogonal with the dividend innovations) by using the Beveridge-Nelson decomposition and projections. In this VAR construction, there is an error correction mechanism through which stock prices converge to their long-run equilibrium, which also contain the stated stochastic non-fundamental trend as well as fundamental trend. The estimation and test results using yearly data from the Korea (1976-2012) indicated that fluctuations in stock prices during that period can be explained mainly not by the stochastic non-fundamental trend but by the dividend trend. However, during some periods like after Seoul Olympic Games, we may observe the non-fundamental trend affected to the stock price variation.

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Stochastic structures of world's death counts after World War II

  • Lee, Jae J.
    • Communications for Statistical Applications and Methods
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    • v.29 no.3
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    • pp.353-371
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    • 2022
  • This paper analyzes death counts after World War II of several countries to identify and to compare their stochastic structures. The stochastic structures that this paper entertains are three structural time series models, a local level with a random walk model, a fixed local linear trend model and a local linear trend model. The structural time series models assume that a time series can be formulated directly with the unobserved components such as trend, slope, seasonal, cycle and daily effect. Random effect of each unobserved component is characterized by its own stochastic structure and a distribution of its irregular component. The structural time series models use the Kalman filter to estimate unknown parameters of a stochastic model, to predict future data, and to do filtering data. This paper identifies the best-fitted stochastic model for three types of death counts (Female, Male and Total) of each country. Two diagnostic procedures are used to check the validity of fitted models. Three criteria, AIC, BIC and SSPE are used to select the best-fitted valid stochastic model for each type of death counts of each country.

Testing of Stochastic Trends, Seasonal and Cyclical Components in Macroeconomil Time Series

  • Gil-Alana Luis A.
    • Communications for Statistical Applications and Methods
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    • v.12 no.1
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    • pp.101-115
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    • 2005
  • We propose in this article a procedure for testing unit and fractional orders of integration, with the roots simultaneously occurring in the trend, the seasonal and the cyclical component of the time series. The tests have standard null and local limit distributions. However, finite sample critical values are computed, and several Monte Carlo experiments conducted across the paper show that the rejection frequencies against unit (and fractional) orders of integration are relatively high in all cases. The tests are applied to the UK consumption and income series, the results showing the importance of the roots corresponding to the trend and the seasonal components and, though the unit roots are found to be fairly suitable models, we show that fractional processes (including one for the cyclical component) may also be plausible alternatives in some cases.

Effects of incorrect detrending on the coherency between non-stationary time series processes

  • Lee, Jin
    • Communications for Statistical Applications and Methods
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    • v.26 no.1
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    • pp.27-34
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    • 2019
  • We study the effect of detrending on the coherency between two time series processes. Many economic and financial time series variables include nonstationary components; however, we analyze the two most popular cases of stochastic and deterministic trends. We analyze the asymptotic behavior of coherency under incorrect detrending, which includes the cases of first-differencing the deterministic trend process and, conversely, the time trend removal of the unit root process. A simulation study is performed to investigate the finite sample performance of the sample coherency due to incorrect detrending. Our work is expected to draw attention to the possible distortion of coherency when the series are incorrectly detrended. Further, our results can extend to various specification of trends in aggregate time series variables.

A Dynamic-Stochastic Model for Air Pollutant Concentration (大氣汚染濃度에 관한 動的確率모델)

  • 김해경
    • Journal of Korean Society for Atmospheric Environment
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    • v.7 no.3
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    • pp.156-168
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    • 1991
  • The purpose of this paper is to develop a stochastic model for daily sulphur dioxide $(SO_2)$ concentrations prediction in urban area (Seoul). For this, the influence of the meteorological parameters on the $SO_2$ concentrations is investigated by a statistical analysis of the 24-hr averaged $SO_2$ levels of Seoul area during 1989 $\sim$ 1990. The annual fluctuations of the regression trend, periodicity and dependence of the daily concentration are also analyzed. Based on these, a nonlinear regression transfer function model for the prediction of daily $SO_2$ concentrations is derived. A statistical procedure for using the model to predict the concentration level is also proposed.

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A Stochastic Model for Air Pollutant Concentration (大氣汚染濃度에 관한 確率모델)

  • 김해경
    • Journal of Korean Society for Atmospheric Environment
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    • v.7 no.2
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    • pp.127-136
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    • 1991
  • This paper is concerned with the development and application of a stochastic model for daily sulphur dioxide $(SO_2)$ concentrations in urban area (Seoul). For this, the characteristics of the regression trend, periodicity and dependence of the daily $SO_2$ concentration are investigated by a statistisical analysis of the daily average $SO_2$ values measured in Seoul area during 1989 $\sim$ 1990. Based on these, nonlinear regression time series model for the prediction of daily $SO_2$ concentrations is derived. A statistical procedure for using the model to predict the concentration level is also proposed.

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Investigations on Dynamic Trading Strategy Utilizing Stochastic Optimal Control and Machine Learning (확률론적 최적제어와 기계학습을 이용한 동적 트레이딩 전략에 관한 고찰)

  • Park, Jooyoung;Yang, Dongsu;Park, Kyungwook
    • Journal of the Korean Institute of Intelligent Systems
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    • v.23 no.4
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    • pp.348-353
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    • 2013
  • Recently, control theory including stochastic optimal control and various machine-learning-based artificial intelligence methods have become major tools in the field of financial engineering. In this paper, we briefly review some recent papers utilizing stochastic optimal control theory in the fields of the pair trading for mean-reverting markets and the trend-following strategy, and consider a couple of strategies utilizing both stochastic optimal control theory and machine learning methods to acquire more flexible and accessible tools. Illustrative simulations show that the considered strategies can yield encouraging results when applied to a set of real financial market data.

A stochastic model for winter air-temperature of seoul area (서울지방 겨울철 기온의 확률모델)

  • 김해경;김태수
    • The Korean Journal of Applied Statistics
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    • v.5 no.1
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    • pp.59-80
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    • 1992
  • This paper is concerned with the development and application of a stochastic model for winter air-temperature of Seoul area. The annual and interannual flucturations of the regression trend, periodicity and dependence of the air-temperature are analyzed based on the data during the past 30 years(1959-1989). A statistical procedure for using the stochastic model to predict the air-temperature is proposed. Some statistical characteristics of winter air-temperature including unusual air-temperature and Samhansaon are also discussed.

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A Study on Markov Chains Applied to informetrics (마코프모형의 계량정보학적 응용연구)

  • Moon, Kyung-Hwa
    • Journal of Information Management
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    • v.30 no.2
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    • pp.31-52
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    • 1999
  • This paper is done by studying two experimental cases which utilize the stochastic theory of Markov Chains, which is used for forecasting the future and by analyzing recent trend of studies. Since the study of Markov Chains is not applied to the Informetrics to a high degree in Korea. It is also proposed that there is a necessity for further study on Markov Chains and its activation.

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A Study of Characteristics of Business Cycle in the Jeju Region (제주지역 경기변동의 특성 연구)

  • Kang, Min-Seo;Kang, Gi-Choon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.1
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    • pp.420-426
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    • 2018
  • The purpose of this paper is to examine the business cycle in the Jeju region and what differences exist in relation to the nation as a whole, to calculate the relative importance between the random walk stochastic trend and cyclical factor, and to find out its causes and implications. Results of empirical analysis found that the characteristics of the business cycle in the Jeju region were as follows: First, the Jeju region, which is likely to have a growth component of the economy such as technological development and the accumulation of capital, was projected to have a possibility of high growth due to a greater proportion of the stochastic trend factor(46.8%) than the entire country(27.8%). Secondly, employment fluctuation in Jeju, which varies from 0.007 to 0.058 depending on the model, was lowest compared to the fluctuation of other indicators. The employment market in Jeju remained firm, showing that it is not smooth enough to create new jobs despite the production growth in industry. Third, the tourism industry was acting as a stabilizing factor, whereas the mining and manufacturing production was the opposite of tourism industry. This implies that the mining and manufacturing production was based on a weak foundation.