• Title/Summary/Keyword: non-stationary series

Search Result 89, Processing Time 0.026 seconds

The usefulness of overfitting via artificial neural networks for non-stationary time series

  • Ahn Jae-Joon;Oh Kyong-Joo;Kim Tae-Yoon
    • Proceedings of the Korean Operations and Management Science Society Conference
    • /
    • 2006.05a
    • /
    • pp.1221-1226
    • /
    • 2006
  • The use of Artificial Neural Networks (ANN) has received increasing attention in the analysis and prediction of financial time series. Stationarity of the observed financial time series is the basic underlying assumption in the practical application of ANN on financial time series. In this paper, we will investigate whether it is feasible to relax the stationarity condition to non-stationary time series. Our result discusses the range of complexities caused by non-stationary behavior and finds that overfitting by ANN could be useful in the analysis of such non-stationary complex financial time series.

  • PDF

Non-stationary statistical modeling of extreme wind speed series with exposure correction

  • Huang, Mingfeng;Li, Qiang;Xu, Haiwei;Lou, Wenjuan;Lin, Ning
    • Wind and Structures
    • /
    • v.26 no.3
    • /
    • pp.129-146
    • /
    • 2018
  • Extreme wind speed analysis has been carried out conventionally by assuming the extreme series data is stationary. However, time-varying trends of the extreme wind speed series could be detected at many surface meteorological stations in China. Two main reasons, exposure change and climate change, were provided to explain the temporal trends of daily maximum wind speed and annual maximum wind speed series data, recorded at Hangzhou (China) meteorological station. After making a correction on wind speed series for time varying exposure, it is necessary to perform non-stationary statistical modeling on the corrected extreme wind speed data series in addition to the classical extreme value analysis. The generalized extreme value (GEV) distribution with time-dependent location and scale parameters was selected as a non-stationary model to describe the corrected extreme wind speed series. The obtained non-stationary extreme value models were then used to estimate the non-stationary extreme wind speed quantiles with various mean recurrence intervals (MRIs) considering changing climate, and compared to the corresponding stationary ones with various MRIs for the Hangzhou area in China. The results indicate that the non-stationary property or dependence of extreme wind speed data should be carefully evaluated and reflected in the determination of design wind speeds.

A Study on the Test and Visualization of Change in Structures Associated with the Occurrence of Non-Stationary of Long-Term Time Series Data Based on Unit Root Test (Unit Root Test를 기반으로 한 장기 시계열 데이터의 Non-Stationary 발생에 따른 구조 변화 검정 및 시각화 연구)

  • Yoo, Jaeseong;Choo, Jaegul
    • KIPS Transactions on Software and Data Engineering
    • /
    • v.8 no.7
    • /
    • pp.289-302
    • /
    • 2019
  • Structural change of time series means that the distribution of observations is relatively stable in the period of constituting the entire time series data, but shows a sudden change of the distribution characteristic at a specific time point. Within a non-stationary long-term time series, it is important to determine in a timely manner whether the change in short-term trends is transient or structurally changed. This is because it is necessary to always detect the change of the time series trend and to take appropriate measures to cope with the change. In this paper, we propose a method for decision makers to easily grasp the structural changes of time series by visualizing the test results based on the unit root test. Particularly, it is possible to grasp the short-term structural changes even in the long-term time series through the method of dividing the time series and testing it.

Analysis of Multivariate Financial Time Series Using Cointegration : Case Study

  • Choi, M.S.;Park, J.A.;Hwang, S.Y.
    • Journal of the Korean Data and Information Science Society
    • /
    • v.18 no.1
    • /
    • pp.73-80
    • /
    • 2007
  • Cointegration(together with VARMA(vector ARMA)) has been proven to be useful for analyzing multivariate non-stationary data in the field of financial time series. It provides a linear combination (which turns out to be stationary series) of non-stationary component series. This linear combination equation is referred to as long term equilibrium between the component series. We consider two sets of Korean bivariate financial time series and then illustrate cointegration analysis. Specifically estimated VAR(vector AR) and VECM(vector error correction model) are obtained and CV(cointegrating vector) is found for each data sets.

  • PDF

Non-Stationary Response of a Vehicle Obtained From a Series of Stationary Responses

  • Karacay, Tuncay;Akturk, Nizami;Eroglu, Mehmet;Ba
    • Journal of Mechanical Science and Technology
    • /
    • v.18 no.9
    • /
    • pp.1565-1571
    • /
    • 2004
  • Ride characteristics of a vehicle moving on a rough ground with changing travel velocity are analyzed in this paper. The solution is difficult due to the non-stationary characteristics of the problem. Hence a new technique has been proposed to overcome this difficulty. This new technique is employed in the analysis of ride characteristics of a vehicle with changing velocity in the time/frequency domain. It is found that the proposed technique gives successful results in modelling non-stationary responses in terms of a series of stationary responses.

RBF Network Structure for Prediction of Non-linear, Non-stationary Time Series (비선형, 비정상 시계열 예측을 위한 RBF(Radial Basis Function) 회로망 구조)

  • Kim, Sang-Hwan;Lee, Jong-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
    • /
    • v.48 no.2
    • /
    • pp.168-175
    • /
    • 1999
  • In this paper, a modified RBF(Radial Basis Function) network structure is suggested for the prediction of a time-series with non-linear, non-stationary characteristics. Coventional RBF network predicting time series by using past outputs sense the trajectory of the time series and react when there exists strong relation between input and hidden activation function's RBF center. But this response is highly sensitive to level and trend of time serieses. In order to overcome such dependencies, hidden activation functions are modified to react to the increments of input variable and multiplied by increment(or dectement) for prediction. When the suggested structure is applied to prediction of Macyey-Glass chaotic time series, Lorenz equation, and Rossler equation, improved performances are obtained.

  • PDF

A Multi-Resolution Approach to Non-Stationary Financial Time Series Using the Hilbert-Huang Transform

  • Oh, Hee-Seok;Suh, Jeong-Ho;Kim, Dong-Hoh
    • The Korean Journal of Applied Statistics
    • /
    • v.22 no.3
    • /
    • pp.499-513
    • /
    • 2009
  • An economic signal in the real world usually reflects complex phenomena. One may have difficulty both extracting and interpreting information embedded in such a signal. A natural way to reduce complexity is to decompose the original signal into several simple components, and then analyze each component. Spectral analysis (Priestley, 1981) provides a tool to analyze such signals under the assumption that the time series is stationary. However when the signal is subject to non-stationary and nonlinear characteristics such as amplitude and frequency modulation along time scale, spectral analysis is not suitable. Huang et al. (1998b, 1999) proposed a data-adaptive decomposition method called empirical mode decomposition and then applied Hilbert spectral analysis to decomposed signals called intrinsic mode function. Huang et al. (1998b, 1999) named this two step procedure the Hilbert-Huang transform(HHT). Because of its robustness in the presence of nonlinearity and non-stationarity, HHT has been used in various fields. In this paper, we discuss the applications of the HHT and demonstrate its promising potential for non-stationary financial time series data provided through a Korean stock price index.

Asymmetric and non-stationary GARCH(1, 1) models: parametric bootstrap to evaluate forecasting performance (비대칭-비정상 변동성 모형 평가를 위한 모수적-붓스트랩)

  • Choi, Sun Woo;Yoon, Jae Eun;Lee, Sung Duck;Hwang, Sun Young
    • The Korean Journal of Applied Statistics
    • /
    • v.34 no.4
    • /
    • pp.611-622
    • /
    • 2021
  • With a wide recognition that financial time series typically exhibits asymmetry patterns in volatility so called leverage effects, various asymmetric GARCH(1, 1) processes have been introduced to investigate asymmetric volatilities. A lot of researches have also been directed to non-stationary volatilities to deal with frequent high ups and downs in financial time series. This article is concerned with both asymmetric and non-stationary GARCH-type models. As a subsequent paper of Choi et al. (2020), we review various asymmetric and non-stationary GARCH(1, 1) processes, and in turn propose how to compare competing models using a parametric bootstrap methodology. As an illustration, Dow Jones Industrial Average (DJIA) is analyzed.

Estimation of the Number of Korean Cattle Using ARIMA Model (ARIMA 모형을 이용한 한육우 사육두수 추정)

  • Jeon, Sang-Gon;Park, Han-Ul
    • Journal of agriculture & life science
    • /
    • v.45 no.5
    • /
    • pp.115-126
    • /
    • 2011
  • This paper estimates the number of Korean cattle using time-series ARIMA model. This study classifies the structure of the number of cattle into six indexes to reflect the characteristics of cattle. This study apply ARIMA model to these six indexes according to Box-Jenkins procedure to identify, estimate and predict. The rates of slaughter for aged female and aged male cow is analyzed as non-stationary time series which has unit roots and other 4 indexes is analyzed as stationary time series. The differencing is applied to get rid of non-stationarity for the non-stationary time series. The results show that the number of cattle will be reduced from 2012 as a higher point and rebounded from 2018 as a lower point.

RBF Neural Network Sturcture for Prediction of Non-linear, Non-stationary Time Series (비선형, 비정상 시계열 예측을 위한RBF(Radial Basis Function) 신경회로망 구조)

  • Kim, Sang-Hwan;Lee, Chong-Ho
    • Proceedings of the KIEE Conference
    • /
    • 1998.07g
    • /
    • pp.2299-2301
    • /
    • 1998
  • In this paper, a modified RBF (Radial Basis Function) neural network structure is suggested for the prediction of time series with non-linear, non-stationary characteristics. Conventional RBF neural network predicting time series by using past outputs is for sensing the trajectory of the time series and for reacting when there exists strong relation between input and hidden neuron's RBF center. But this response is highly sensitive to level and trend of time serieses. In order to overcome such dependencies, hidden neurons are modified to react to the increments of input variable and multiplied by increments(or decrements) of out puts for prediction. When the suggested structure is applied to prediction of Lorenz equation, and Rossler equation, improved performances are obtainable.

  • PDF