Forecasting Time Series Data Using Haar Discrete Wavelet Transformation
نویسندگان
چکیده
Discrete Wavelet Transform is a data transformation method that represents in the time domain and frequency domain. This appears to overcome weakness of Fourier transform which only able provide one information limited certain windowing . The type wavelet used Haar Wavelet. Identification periodicity using Periodogram analysis with Fisher's Test statistics. transformed decomposed into two components, namely Approximation Coefficient Detail Coefficient. Both components are predicted Box-Jenkins ARIMA method. Model selection was carried out Akaike Information Criterion (AIC ) Mean Square Error (MSE) methods forecast obtained then reconstructed (inverse). application model through Makassar City Air Humidity for period September 2006 - December 2012 shows forecasting on by (0,0,3) AIC = 112.2142 MSE 29.673. While Detailed Coefficients (2,1,0) 89.2 15,989.
منابع مشابه
An Algorithm Forecasting Time Series Using Wavelet
In this paper we used the technique of wavelets with fuzzy logic to forecast enrollment of Alabama university from 1971 to 1994 where data were taken and analyzed by using wavelets, then logic , and we used the mean square error (MSE) to compare the forecasting results with previous different forecasting methods. The results were acceptable compared with the results of previous research. 1Intro...
متن کاملHaar Wavelet Analysis of climatic Time Series
In order to extract the intrinsic information of climatic time series from background red noise, we will first give an analytic formula on the distribution of Haar wavelet power spectra of red noise in a rigorous statistical framework. The relation between scale aand Fourier period T for the Morlet wavelet is a= 0.97T . However, for Haar wavelet, the corresponding formula is a= 0.37T . Since fo...
متن کاملMinimization of Haar wavelet series and Haar spectral decision diagrams for discrete functions
In this paper, a minimization of Haar wavelet series for simplification of circuits and Haar based decision diagrams representing discrete multiple-valued functions is proposed. The minimization is performed by permutation of indices of generalized Haar functions. Experimental results show that this method provides reasonable reduction in the number of non-zero coefficients. The Haar series red...
متن کاملThe Haar Wavelet Transform in the Time Series Similarity Paradigm
Abstract. Similarity measures play an important role in many data mining algorithms. To allow the use of such algorithms on non-standard databases, such as databases of financial time series, their similarity measure has to be defined. We present a simple and powerful technique which allows for the rapid evaluation of similarity between time series in large data bases. It is based on the orthon...
متن کامل6 Time Series Data Forecasting
Businesses are recognizing the value of data as a strategic asset. This is reflected by the high degree of interest in new technologies such as data mining. Corporations in banking, insurance, retail, and healthcare are harnessing aggregated operational data to help understand and run their businesses (Brockett et al., 1997; Delmater & Hamcock, 2001). Analysts use data-mining techniques to extr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Jurnal Matematika Statistik dan Komputasi
سال: 2023
ISSN: ['2614-8811', '1858-1382']
DOI: https://doi.org/10.20956/j.v19i3.24807