• Title/Summary/Keyword: time series methods

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SOLUTIONS OF FRACTIONAL ORDER TIME-VARYING LINEAR DYNAMICAL SYSTEMS USING THE RESIDUAL POWER SERIES METHOD

  • Mahmut MODANLI;Sadeq Taha Abdulazeez;Habibe GOKSU
    • Honam Mathematical Journal
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    • v.45 no.4
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    • pp.619-628
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    • 2023
  • In this paper, the fractional order time-varying linear dynamical systems are investigated by using a residual power series method. A residual power series method (RPSM) is constructed for this problem. The exact solution is obtained by the Laplace transform method and the analytical solution is calculated via the residual power series method (RPSM). As an application, some examples are tested to show the accuracy and efficacy of the proposed methods. The obtained result showed that the proposed methods are effective and accurate for this type of problem.

A Technology Analysis Model using Dynamic Time Warping

  • Choi, JunHyeog;Jun, SungHae
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.2
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    • pp.113-120
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    • 2015
  • Technology analysis is to analyze technological data such as patent and paper for a given technology field. From the results of technology analysis, we can get novel knowledge for R&D planing and management. For the technology analysis, we can use diverse methods of statistics. Time series analysis is one of efficient approaches for technology analysis, because most technologies have researched and developed depended on time. So many technological data are time series. Time series data are occurred through time. In this paper, we propose a methodology of technology forecasting using the dynamic time warping (DTW) of time series analysis. To illustrate how to apply our methodology to real problem, we perform a case study of patent documents in target technology field. This research will contribute to R&D planning and technology management.

Time series representation for clustering using unbalanced Haar wavelet transformation (불균형 Haar 웨이블릿 변환을 이용한 군집화를 위한 시계열 표현)

  • Lee, Sehun;Baek, Changryong
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.707-719
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    • 2018
  • Various time series representation methods have been proposed for efficient time series clustering and classification. Lin et al. (DMKD, 15, 107-144, 2007) proposed a symbolic aggregate approximation (SAX) method based on symbolic representations after approximating the original time series using piecewise local mean. The performance of SAX therefore depends heavily on how well the piecewise local averages approximate original time series features. SAX equally divides the entire series into an arbitrary number of segments; however, it is not sufficient to capture key features from complex, large-scale time series data. Therefore, this paper considers data-adaptive local constant approximation of the time series using the unbalanced Haar wavelet transformation. The proposed method is shown to outperforms SAX in many real-world data applications.

Hierarchical time series forecasting with an application to traffic accident counts (계층적 시계열 분석을 이용한 지역별 교통사고 발생건수 예측)

  • Lee, Jooeun;Seong, Byeongchan
    • The Korean Journal of Applied Statistics
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    • v.30 no.1
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    • pp.181-193
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    • 2017
  • The paper introduces bottom-up and optimal combination methods that can analyze and forecast hierarchical time series. These methods allow forecasts at lower levels to be summed consistently to upper levels without any ad-hoc adjustment. They can also potentially improve forecast performance in comparison to independent forecasts. We forecast regional traffic accident counts as time series data in order to identify efficiency gains from hierarchical forecasting. We observe that bottom-up or optimal combination methods are superior to independent methods in terms of forecast accuracy.

Modeling Extreme Values of Ground-Level Ozone Based on Threshold Methods for Markov Chains

  • Seokhoon Yun
    • Communications for Statistical Applications and Methods
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    • v.3 no.2
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    • pp.249-273
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    • 1996
  • This paper reviews and develops several statistical models for extreme values, based on threshold methodology. Extreme values of a time series are modeled in terms of tails which are defined as truncated forms of original variables, and Markov property is imposed on the tails. Tails of the generalized extreme value distribution and a multivariate extreme value distributively, of the tails of the series. These models are then applied to real ozone data series collected in the Chicago area. A major concern is given to detecting any possible trend in the extreme values.

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A Study on the Seasonal Adjustment of Time Series for Seasonal New Product Sales (계절상품 판매매출액 시계열의 계절 조정에 관한 연구)

  • 서명율;이종태
    • Korean Management Science Review
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    • v.20 no.1
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    • pp.103-124
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    • 2003
  • The seasonal adjustment is an essential process in analyzing the time series of economy and business. There are various methods to adjust seasonal effect such as moving average, extrapolation, smoothing and X11. One of the powerful adjustment methods is X11-ARIMA Model which is popularly used in Korea. This method was delivered from Canada. However, this model has been developed to be appropriate for Canadian and American environment. Therefore, we need to review whether the Xl1-ARIMA Model could be used properly in Korea. In this study, we have applied the method to the annual sales of refrigerator sales in A electronic company. We appreciated the adjustment by result analyzing the time series components such as seasonal component, trend-cycle component, and irregular component, with the proposed method.

Reserve Price Recommendation Methods for Auction Systems Based on Time Series Analysis (경매 시스템에서 시계열 분석에 기반한 낙찰 예정가 추천 방법)

  • Ko Min Jung;Lee Yong Kyu
    • Journal of Information Technology Applications and Management
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    • v.12 no.1
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    • pp.141-155
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    • 2005
  • It is very important that sellers provide reasonable reserve prices for auction items in internet auction systems. Recently, an agent has been proposed to generate reserve prices automatically based on the case similarity of information retrieval theory and the moving average of time series analysis. However, one problem of the previous approaches is that the recent trend of auction prices is not well reflected on the generated reserve prices, because it simply provides the bid price of the most similar item or an average price of some similar items using the past auction data. In this paper. in order to overcome the problem. we propose a method that generates reserve prices based on the moving average. the exponential smoothing, and the least square of time series analysis. Through performance experiments. we show that the successful bid rate of the new method can be increased by preventing sellers from making unreasonable reserve prices compared with the previous methods.

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Comparison of time series clustering methods and application to power consumption pattern clustering

  • Kim, Jaehwi;Kim, Jaehee
    • Communications for Statistical Applications and Methods
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    • v.27 no.6
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    • pp.589-602
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    • 2020
  • The development of smart grids has enabled the easy collection of a large amount of power data. There are some common patterns that make it useful to cluster power consumption patterns when analyzing s power big data. In this paper, clustering analysis is based on distance functions for time series and clustering algorithms to discover patterns for power consumption data. In clustering, we use 10 distance measures to find the clusters that consider the characteristics of time series data. A simulation study is done to compare the distance measures for clustering. Cluster validity measures are also calculated and compared such as error rate, similarity index, Dunn index and silhouette values. Real power consumption data are used for clustering, with five distance measures whose performances are better than others in the simulation.

Stock Forecasting Using Prophet vs. LSTM Model Applying Time-Series Prediction

  • Alshara, Mohammed Ali
    • International Journal of Computer Science & Network Security
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    • v.22 no.2
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    • pp.185-192
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    • 2022
  • Forecasting and time series modelling plays a vital role in the data analysis process. Time Series is widely used in analytics & data science. Forecasting stock prices is a popular and important topic in financial and academic studies. A stock market is an unregulated place for forecasting due to the absence of essential rules for estimating or predicting a stock price in the stock market. Therefore, predicting stock prices is a time-series problem and challenging. Machine learning has many methods and applications instrumental in implementing stock price forecasting, such as technical analysis, fundamental analysis, time series analysis, statistical analysis. This paper will discuss implementing the stock price, forecasting, and research using prophet and LSTM models. This process and task are very complex and involve uncertainty. Although the stock price never is predicted due to its ambiguous field, this paper aims to apply the concept of forecasting and data analysis to predict stocks.

Pattern Extraction of Manufacturing Time Series Data Using Matrix Profile (매트릭스 프로파일을 이용한 제조 시계열 데이터 패턴 추출)

  • Kim, Tae-hyun;Jin, Kyo-hong
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2022.10a
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    • pp.210-212
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    • 2022
  • In the manufacturing industry, various sensors are attached to monitor the status of production facility. In many cases, the data obtained through these sensors is time series data. In order to determine whether the status of the production facility is abnormal, the process of extracting patterns from time series data must be preceded. Also various methods for extracting patterns from time series data are studied. In this paper, we use matrix profile algorithm to extract patterns from the collected multivariate time series data. Through this, the pattern of multi sensor data currently being collected from the CNC machine is extracted.

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