• Title/Summary/Keyword: Time-series Model

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Stochastic Properties of Air Quality Variation in Seoul (서울시 광화물 지역의 대기질 변동 특성의 추계학적 분석)

  • Han, Hong;Kim, Young-Sik
    • Journal of Environmental Health Sciences
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    • v.17 no.2
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    • pp.1-8
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    • 1991
  • The stochastic variance and structures of time series data on air quality were examined by employing the techniques of autocorrelation function, variance spectrum, fourier series, ARIMA model. Among the air quality properties of atmosphere, SO$_{2}$ is one of the most siginificant and widely measured parameters. In the study, the air quality data were included hourly observations on SO$_{2}$ TSP and O$_{3}$. The data were measured by automatic recording instrument installed in Kwanghwamoon during February and March in 1991. The results of study were as follows 1. Hourly air quality series varied with the domiant 24 hour periodicity and the 12 hour periodic variation was also observed. 2. The correlation coefficients between SO$_{2}$ and O$_{3}$ is -0.4735. 3. In simulating or forecasting variation in SO$_{2}$ ARIMA models are on a useful tools. The multiplicative seasonal ARIMA (1, 1, 0) (0, 2, 1)$_{24}$ model provided satisfactory results for hourly SO$_{2}$ time series.

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Generalized Durbin-Watson Statistics in the Nonstationary Seasonal Time Series Model

  • Cho, Sin-Sup;Kim, Byung-Soo;Park, Young J.
    • Journal of the Korean Statistical Society
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    • v.26 no.3
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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.

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Behavior Analysis of Dynamic Love Model with Time Delay (시간 지연을 갖는 사랑의 동적 모델에서의 거동 해석)

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.10 no.2
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    • pp.253-260
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    • 2015
  • Love which is one of the emotional of mankind, has been studied in sociology and psychology as a matter of grate concern. In this paper we represent romantic behaviors in the love equation of Romeo and Juliet as time series and phase portraits in the case of with and without time delay. And we also analyze their difference.

PRICING FORWARD-FUTURES SPREAD BASED ON COPULAS WITH STOCHASTIC SIMULATION

  • Pu, Yuqi;Kim, Seki
    • The Pure and Applied Mathematics
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    • v.21 no.1
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    • pp.77-93
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    • 2014
  • This paper focuses on computational contractual distinctions as an explanation for the spread between a forward contract and a similar futures contract which is derived and investigated. We evaluate this spread by constructing a time series model, which was established based on copula functions, and also show that the forward-futures spread is more significant for long maturity.

Efficient Quasi-likelihood Estimation for Nonlinear Time Series Models and Its Application

  • Kim, Sahmyeong;Cha, Kyungyup;Lee, Sungduck
    • Communications for Statistical Applications and Methods
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    • v.10 no.1
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    • pp.101-113
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    • 2003
  • Quasi likelihood estimators defined by Wedderburn are derived for several nonlinear time series models. And also, the least squared estimator and Quasi-likelihood estimator are compared in sense of asymptotic relative efficiency at those models. Finally, we apply these estimations to a real data on exchanging rate and stock market prices.

STRUCTURAL CHANGES IN DYNAMIC LINEAR MODEL

  • Jun, Duk B.
    • Journal of the Korean Operations Research and Management Science Society
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    • v.16 no.1
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    • pp.113-119
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    • 1991
  • The author is currently assistant professor of Management Science at Korea Advanced Institute of Science and Technology, following a few years as assistant professor of Industrial Engineering at Kyung Hee University, Korea. He received his doctorate from the department of Industrial Engineering and Operations Research, University of California, Berkeley. His research interests are time series and forecasting modelling, Bayesian forecasting and the related software development. He is now teaching time series analysis and econometrics at the graduate level.

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An Estimation of Nonlinear Time Series with ARCH errors using ECtBnS algorithm

  • Asato, Hajime;Miyagi, Hauao;Yamashita, Katsumi
    • Proceedings of the IEEK Conference
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    • 2000.07b
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    • pp.1111-1114
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    • 2000
  • In this paper, a method of estimating second-order Volterra model with ARCH errors is presented. Then we use an ECLMS algorithm for noise canceling of nonlinear time series. The validity of the proposed method is demonstrated for estimating second-order Volterra model with ARCH errors, using computer simulations.

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Asymptotic Distribution of Sample Autocorrelation Function for the First-order Bilinear Time Series Model

  • Kim, Won-Kyung
    • Journal of the Korean Statistical Society
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    • v.19 no.2
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    • pp.139-144
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    • 1990
  • For the first-order bilinear time series model $X_t = aX_{t-1} + e_i + be_{t-1}X_{t-1}$ where ${e_i}$ is a sequence of independent normal random variables with mean 0 and variance $\sigma^2$, the asymptotic distribution of sample autocarrelation function is obtained and shown to follow a normal distribution. The variance of the asymptotic distribution is of a complicated form and hence a bootstrap estimate of the variance is proposed for large sample inference. This result can be used to distinguish between different bilinear models.

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Modeling and Prediction of Time Series Data based on Markov Model (마코프 모델에 기반한 시계열 자료의 모델링 및 예측)

  • Cho, Young-Hee;Lee, Gye-Sung
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.2
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    • pp.225-233
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    • 2011
  • Stock market prices, economic indices, trends and changes of social phenomena, etc. are categorized as time series data. Research on time series data has been prevalent for a while as it could not only lead to valuable representation of data but also provide future trends as well as changes in direction. We take a conventional model based approach, known as Markov chain modeling for the prediction on stock market prices. To improve prediction accuracy, we apply Markov modeling over carefully selected intervals of training data to fit the trend under consideration to the model. Another method we take is to apply clustering to data and build models of the resultant clusters. We confirmed that clustered models are better off in predicting, however, with the loss of prediction rate.

Evaluation of the Applicability of the Poisson Cluster Rainfall Generation Model for Modeling Extreme Hydrological Events (극한수문사상의 모의를 위한 포아송 클러스터 강우생성모형의 적용성 평가)

  • Kim, Dong-Kyun;Kwon, Hyun-Han;Hwang, Seok Hwan;Kim, Tae-Woong
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.3
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    • pp.773-784
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    • 2014
  • This study evaluated the applicability of the Modified Bartlett-Lewis Rectangular Pulse (MBLRP) rainfall generation model for modeling extreme rainfalls and floods in Korean Peninsula. Firstly, using the ISPSO (Isolated Species Particle Swarm Optimization) method, the parameters of the MBLRP model were estimated at the 61 ASOS (Automatic Surface Observation System) rain gauges located across Korean Peninsula. Then, the synthetic rainfall time series with the length of 100 years were generated using the MBLRP model for each of the rain gauges. Finally, design rainfalls and design floods with various recurrence intervals were estimated based on the generated synthetic rainfall time series, which were compared to the values based on the observed rainfall time series. The results of the comparison indicate that the design rainfalls based on the synthetic rainfall time series were smaller than the ones based on the observation by 20% to 42%. The amount of underestimation increased with the increase of return period. In case of the design floods, the degree of underestimation was 31% to 50%, which increases along with the return period of flood and the curve number of basin.