• Title/Summary/Keyword: non-stationarity

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Forecasting Day-ahead Electricity Price Using a Hybrid Improved Approach

  • Hu, Jian-Ming;Wang, Jian-Zhou
    • Journal of Electrical Engineering and Technology
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    • v.12 no.6
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    • pp.2166-2176
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    • 2017
  • Electricity price prediction plays a crucial part in making the schedule and managing the risk to the competitive electricity market participants. However, it is a difficult and challenging task owing to the characteristics of the nonlinearity, non-stationarity and uncertainty of the price series. This study proposes a hybrid improved strategy which incorporates data preprocessor components and a forecasting engine component to enhance the forecasting accuracy of the electricity price. In the developed forecasting procedure, the Seasonal Adjustment (SA) method and the Ensemble Empirical Mode Decomposition (EEMD) technique are synthesized as the data preprocessing component; the Coupled Simulated Annealing (CSA) optimization method and the Least Square Support Vector Regression (LSSVR) algorithm construct the prediction engine. The proposed hybrid approach is verified with electricity price data sampled from the power market of New South Wales in Australia. The simulation outcome manifests that the proposed hybrid approach obtains the observable improvement in the forecasting accuracy compared with other approaches, which suggests that the proposed combinational approach occupies preferable predication ability and enough precision.

INNOVATION ALGORITHM IN ARMA PROCESS

  • Sreenivasan, M.;Sumathi, K.
    • Journal of applied mathematics & informatics
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    • v.5 no.2
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    • pp.373-382
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    • 1998
  • Most of the works in Time Series Analysis are based on the Auto Regressive Integrated Moving Average (ARIMA) models presented by Box and Jeckins(1976). If the data exhibits no ap-parent deviation from stationarity and if it has rapidly decreasing autocorrelation function then a suitable ARIMA(p,q) model is fit to the given data. Selection of the orders of p and q is one of the crucial steps in Time Series Analysis. Most of the methods to determine p and q are based on the autocorrelation function and partial autocor-relation function as suggested by Box and Jenkins (1976). many new techniques have emerged in the literature and it is found that most of them are over very little use in determining the orders of p and q when both of them are non-zero. The Durbin-Levinson algorithm and Innovation algorithm (Brockwell and Davis 1987) are used as recur-sive methods for computing best linear predictors in an ARMA(p,q)model. These algorithms are modified to yield an effective method for ARMA model identification so that the values of order p and q can be determined from them. The new method is developed and its validity and usefulness is illustrated by many theoretical examples. This method can also be applied to an real world data.

Comparative Application of Various Machine Learning Techniques for Lithology Predictions (다양한 기계학습 기법의 암상예측 적용성 비교 분석)

  • Jeong, Jina;Park, Eungyu
    • Journal of Soil and Groundwater Environment
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    • v.21 no.3
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    • pp.21-34
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    • 2016
  • In the present study, we applied various machine learning techniques comparatively for prediction of subsurface structures based on multiple secondary information (i.e., well-logging data). The machine learning techniques employed in this study are Naive Bayes classification (NB), artificial neural network (ANN), support vector machine (SVM) and logistic regression classification (LR). As an alternative model, conventional hidden Markov model (HMM) and modified hidden Markov model (mHMM) are used where additional information of transition probability between primary properties is incorporated in the predictions. In the comparisons, 16 boreholes consisted with four different materials are synthesized, which show directional non-stationarity in upward and downward directions. Futhermore, two types of the secondary information that is statistically related to each material are generated. From the comparative analysis with various case studies, the accuracies of the techniques become degenerated with inclusion of additive errors and small amount of the training data. For HMM predictions, the conventional HMM shows the similar accuracies with the models that does not relies on transition probability. However, the mHMM consistently shows the highest prediction accuracy among the test cases, which can be attributed to the consideration of geological nature in the training of the model.

A Comparative Study of Korea and Japan on Export Insurance for Export Promotion (한.일 수출보험과 수출촉진에 관한 비교연구)

  • Lee, Seo-Young;Hong, Seon-Eui
    • International Commerce and Information Review
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    • v.10 no.4
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    • pp.495-512
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    • 2008
  • Because Korea and Japan has joined WTO and OECD, it is impossible to carry out a direct export-promoted policy such as export subsidies. Therefore, the only policy which is internationally valid for promoting an export is the export insurance. Hence export insurance system became more useful tool since it's one of the few allowed subsidies under WTO. This paper examines to find the impacts of export insurance on the export supply in Korea and Japan. The period of data is from 1980 to 2006. Unlike previous studies on the effectiveness of export subsidy in export supply, the current study examines the stationarity nature of the concerned variables. The unit root tests show that all variables are not I(0) Time Series. Instead, they are I(1) Time Series. To this, cointegration verification was conducted based on the use of Johansen verification method to define the existence (or non-existence) of long-term balance relationship among variables. The concerned variables are revealed to be cointegrated. In order to analyze, this study introduce a VEC model. In this paper we construct two VEC models. The one is about Korea, the other is about Japan. The empirical evidences show that export insurance system has not contributed to promoting export supply in Japan. But the results of empirical analysis showed significant and positive effects of Korea export insurance upon the export supply.

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A Study on Price Discovery Process for International Crude Oil using Error Correction Model and Graph Theory (오차수정모형과 그래프 이론을 이용한 국제유가의 동시 및 단기 가격발견과정에 관한 연구)

  • Park, Hojeong;Yun, Won-Cheol
    • Environmental and Resource Economics Review
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    • v.15 no.3
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    • pp.479-504
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    • 2006
  • This paper analyzes a price discovery process for international crude oils including the WTI, Brent and Dubai. Error correction model is employed considering non-stationarity property of crude oil price and the contemporaneous causality is constructed by graph theory to analyze the short-term causality. The empirical analysis for January 4., 1999 to July 15., 2005 reveals that the Brent price interconnects between the WTI price and the Dubai price. This result implies the substantial influence of the Brent price as a marker oil.

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Reliability Modeling and Analysis for a Unit with Multiple Causes of Failure (다수의 고장 원인을 갖는 기기의 신뢰성 모형화 및 분석)

  • Baek, Sang-Yeop;Lim, Tae-Jin;Lie, Chang-Hoon
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.4
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    • pp.609-628
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    • 1995
  • This paper presents a reliability model and a data-analytic procedure for a repairable unit subject to failures due to multiple non-identifiable causes. We regard a failure cause as a state and assume the life distribution for each cause to be exponential. Then we represent the dependency among the causes by a Markov switching model(MSM) and estimate the transition probabilities and failure rates by maximum likelihood(ML) method. The failure data are incomplete due to masked causes of failures. We propose a specific version of EM(expectation and maximization) algorithm for finding maximum likelihood estimator(MLE) under this situation. We also develop statistical procedures for determining the number of significant states and for testing independency between state transitions. Our model requires only the successive failure times of a unit to perform the statistical analysis. It works well even when the causes of failures are fully masked, which overcomes the major deficiency of competing risk models. It does not require the assumption of stationarity or independency which is essential in mixture models. The stationary probabilities of states can be easily calculated from the transition probabilities estimated in our model, so it covers mixture models in general. The results of simulations show the consistency of estimation and accuracy gradually increasing according to the difference of failure rates and the frequency of transitions among the states.

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Deriving Robust Reservoir Operation Policy under Changing Climate: Use of Robust Optimiziation with Stochastic Dynamic Programming

  • Kim, Gi Joo;Kim, Young-Oh
    • Proceedings of the Korea Water Resources Association Conference
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    • 2020.06a
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    • pp.171-171
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    • 2020
  • Decision making strategies should consider both adaptiveness and robustness in order to deal with two main characteristics of climate change: non-stationarity and deep uncertainty. Especially, robust strategies are different from traditional optimal strategies in the sense that they are satisfactory over a wider range of uncertainty and may act as a key when confronting climate change. In this study, a new framework named Robust Stochastic Dynamic Programming (R-SDP) is proposed, which couples previously developed robust optimization (RO) into the objective function and constraint of SDP. Two main approaches of RO, feasibility robustness and solution robustness, are considered in the optimization algorithm and consequently, three models to be tested are developed: conventional-SDP (CSDP), R-SDP-Feasibility (RSDP-F), and R-SDP-Solution (RSDP-S). The developed models were used to derive optimal monthly release rules in a single reservoir, and multiple simulations of the derived monthly policy under inflow scenarios with varying mean and standard deviations are undergone. Simulation results were then evaluated with a wide range of evaluation metrics from reliability, resiliency, vulnerability to additional robustness measures. Evaluation results were finally visualized with advanced visualization tools that are used in multi-objective robust decision making (MORDM) framework. As a result, RSDP-F and RSDP-S models yielded more risk averse, or conservative, results than the CSDP model, and a trade-off relationship between traditional and robustness metrics was discovered.

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Trend and Shift Analysis for Hydrologic and Climate Series (수문 및 기후 자료에 대한 선형 경향성 및 평균이동 분석)

  • Oh, Je Seung;Kim, Hung Soo;Seo, Byung Ha
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4B
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    • pp.355-362
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    • 2006
  • Several techniques of MK test, Spearman's Rho test, Linear Regression test, CUSUM test, Cumulative Deviation, Worsley Likelihood Ratio test, Rank Sum test, and Students' t test were applied to detect the trends of slope and shift which exist in hydrologic and climate time series. The time series of annual rainfall, inflow, tree ring index, and southern oscillation index (SOI) were used and the trends of these series were compared in the study. From the results, it can be found that the data could be classified into two categories such as linear trend and shift. 4 series data of 8 rainfall series which reveal the trend show the shift and 8 series data of 18 tree ring index and March and April series of monthly SOI data show shift. Moreover, ADF test and BDS test were used to test stationarity and non-linearity of the data. In conclusion, through the study, various trend analysis techniques were compared and 6 kinds of characteristics which can exist in hydrologic time series were identified.

Flood Frequency Analysis Considering Probability Distribution and Return Period under Non-stationary Condition (비정상성 확률분포 및 재현기간을 고려한 홍수빈도분석)

  • Kim, Sang Ug;Lee, Yeong Seob
    • Journal of Korea Water Resources Association
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    • v.48 no.7
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    • pp.567-579
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    • 2015
  • This study performed the non-stationary flood frequency analysis considering time-varying parameters of a probability density function. Also, return period and risk under non-stationary condition were estimated. A stationary model and three non-stationary models using Generalized Extreme Value(GEV) were developed. The only location parameter was assumed as time-varying parameter in the first model. In second model, the only scale parameter was assumed as time-varying parameter. Finally, the both parameters were assumed as time varying parameter in the last model. Relative likelihood ratio test and Akaike information criterion were used to select appropriate model. The suggested procedure in this study was applied to eight multipurpose dams in South Korea. Using relative likelihood ratio test and Akaike information criterion it is shown that the inflow into the Hapcheon dam and the Seomjingang dam were suitable for non-stationary GEV model but the other six dams were suitable for stationary GEV model. Also, it is shown that the estimated return period under non-stationary condition was shorter than those estimated under stationary condition.

Comparative Analysis of Subsurface Estimation Ability and Applicability Based on Various Geostatistical Model (다양한 지구통계기법의 지하매질 예측능 및 적용성 비교연구)

  • Ahn, Jeongwoo;Jeong, Jina;Park, Eungyu
    • Journal of Soil and Groundwater Environment
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    • v.19 no.4
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    • pp.31-44
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    • 2014
  • In the present study, a few of recently developed geostatistical models are comparatively studied. The models are two-point statistics based sequential indicator simulation (SISIM) and generalized coupled Markov chain (GCMC), multi-point statistics single normal equation simulation (SNESIM), and object based model of FLUVSIM (fluvial simulation) that predicts structures of target object from the provided geometric information. Out of the models, SNESIM and FLUVSIM require additional information other than conditioning data such as training map and geometry, respectively, which generally claim demanding additional resources. For the comparative studies, three-dimensional fluvial reservoir model is developed considering the genetic information and the samples, as input data for the models, are acquired by mimicking realistic sampling (i.e. random sampling). For SNESIM and FLUVSIM, additional training map and the geometry data are synthesized based on the same information used for the objective model. For the comparisons of the predictabilities of the models, two different measures are employed. In the first measure, the ensemble probability maps of the models are developed from multiple realizations, which are compared in depth to the objective model. In the second measure, the developed realizations are converted to hydrogeologic properties and the groundwater flow simulation results are compared to that of the objective model. From the comparisons, it is found that the predictability of GCMC outperforms the other models in terms of the first measure. On the other hand, in terms of the second measure, the both predictabilities of GCMC and SNESIM are outstanding out of the considered models. The excellences of GCMC model in the comparisons may attribute to the incorporations of directional non-stationarity and the non-linear prediction structure. From the results, it is concluded that the various geostatistical models need to be comprehensively considered and comparatively analyzed for appropriate characterizations.