• Title/Summary/Keyword: Autoregressive (AR) model

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Small Sample Asymptotic Inferences for Autoregressive Coefficients via Saddlepoint Approximation (안장점근사를 이용한 자기회귀계수에 대한 소표본 점근추론)

  • Na, Jong-Hwa;Kim, Jeong-Sook
    • The Korean Journal of Applied Statistics
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    • v.20 no.1
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    • pp.103-115
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    • 2007
  • In this paper we studied the small sample asymptotic inference for the autoregressive coefficient in AR(1) model. Based on saddlepoint approximations to the distribution of quadratic forms, we suggest a new approximation to the distribution of the estimators of the noncircular autoregressive coefficients. Simulation results show that the suggested methods are very accurate even in the small sample sizes and extreme tail area.

A study on analysis of packet amount of Naver's mobile portal (네이버 무선포털의 패킷량 분석에 관한 연구)

  • Ryu, Gui-Yeol
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.3
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    • pp.701-710
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    • 2016
  • The purpose of this paper is to build a model of packet amount of Naver mobile portal. We collected 2004 cases by measuring the sixth per access from September, 2012 to October, 2015. We use regression model with autoregressive errors, in which predictors incorporated into the model were replication, date, time, week, month. It has been found the model which errors follow AR(36), based on AIC and adjusted $R^2$. We found some characteristics from our model as follows. In addition to model building, we also have discussed some meaningful features yielded from the selected model in this paper. Considering the importance of this topic, continuous researches are needed.

Fault Detection and Diagnosis of Dynamic Systems with Sequentially Correlated Measurement Noise

  • Kim, B.S.;Y, J. Lee;Kim, K.Y.;Lee, I.S.;Lee, D.Y.;Lee, J.W.
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.157.4-157
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    • 2001
  • An effective approach to detect and diagnose multiple failures in a dynamic system is proposed for the case where the measurement noise is correlated sequentially in time. It is based on the modified interacting multiple-model (MIMM) estimation algorithm in which a generalized decorrelation process is developed by employing the autoregressive (AR) model for the correlated measurement noise. Numerical example for the nuclear steam generator is provided to illustrate the enhanced performance of the proposed algorithm.

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A Hilbert-Huang Transform Approach Combined with PCA for Predicting a Time Series

  • Park, Min-Jeong
    • The Korean Journal of Applied Statistics
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    • v.24 no.6
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    • pp.995-1006
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    • 2011
  • A time series can be decomposed into simple components with a multiscale method. Empirical mode decomposition(EMD) is a recently invented multiscale method in Huang et al. (1998). It is natural to apply a classical prediction method such a vector autoregressive(AR) model to the obtained simple components instead of the original time series; in addition, a prediction procedure combining a classical prediction model to EMD and Hilbert spectrum is proposed in Kim et al. (2008). In this paper, we suggest to adopt principal component analysis(PCA) to the prediction procedure that enables the efficient selection of input variables among obtained components by EMD. We discuss the utility of adopting PCA in the prediction procedure based on EMD and Hilbert spectrum and analyze the daily worm account data by the proposed PCA adopted prediction method.

Design of An Integrated Neural Network System for ARMA Model Identification (ARMA 모형선정을 위한 통합된 신경망 시스템의 설계)

  • Ji, Won-Cheol;Song, Seong-Heon
    • Asia pacific journal of information systems
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    • v.1 no.1
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    • pp.63-86
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    • 1991
  • In this paper, our concern is the artificial neural network-based patten classification, when can resolve the difficulties in the Autoregressive Moving Average(ARMA) model identification problem To effectively classify a time series into an approriate ARMA model, we adopt the Multi-layered Backpropagation Network (MLBPN) as a pattern classifier, and Extended Sample Autocorrelation Function (ESACF) as a feature extractor. To improve the classification power of MLBPN's we suggest an integrated neural network system which consists of an AR Network and many small-sized MA Networks. The output of AR Network which will gives the MA order. A step-by-step training strategy is also suggested so that the learned MLBPN's can effectively ESACF patterns contaminated by the high level of noises. The experiment with the artificially generated test data and real world data showed the promising results. Our approach, combined with a statistical parameter estimation method, will provide a way to the automation of ARMA modeling.

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Recognition for Noisy Speech by a Nonstationary AR HMM with Gain Adaptation Under Unknown Noise (잡음하에서 이득 적응을 가지는 비정상상태 자기회귀 은닉 마코프 모델에 의한 오염된 음성을 위한 인식)

  • 이기용;서창우;이주헌
    • The Journal of the Acoustical Society of Korea
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    • v.21 no.1
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    • pp.11-18
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    • 2002
  • In this paper, a gain-adapted speech recognition method in noise is developed in the time domain. Noise is assumed to be colored. To cope with the notable nonstationary nature of speech signals such as fricative, glides, liquids, and transition region between phones, the nonstationary autoregressive (NAR) hidden Markov model (HMM) is used. The nonstationary AR process is represented by using polynomial functions with a linear combination of M known basis functions. When only noisy signals are available, the estimation problem of noise inevitably arises. By using multiple Kalman filters, the estimation of noise model and gain contour of speech is performed. Noise estimation of the proposed method can eliminate noise from noisy speech to get an enhanced speech signal. Compared to the conventional ARHMM with noise estimation, our proposed NAR-HMM with noise estimation improves the recognition performance about 2-3%.

Median Filtering Detection of Digital Images Using Pixel Gradients

  • RHEE, Kang Hyeon
    • IEIE Transactions on Smart Processing and Computing
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    • v.4 no.4
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    • pp.195-201
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    • 2015
  • For median filtering (MF) detection in altered digital images, this paper presents a new feature vector that is formed from autoregressive (AR) coefficients via an AR model of the gradients between the neighboring row and column lines in an image. Subsequently, the defined 10-D feature vector is trained in a support vector machine (SVM) for MF detection among forged images. The MF classification is compared to the median filter residual (MFR) scheme that had the same 10-D feature vector. In the experiment, three kinds of test items are area under receiver operating characteristic (ROC) curve (AUC), classification ratio, and minimal average decision error. The performance is excellent for unaltered (ORI) or once-altered images, such as $3{\times}3$ average filtering (AVE3), QF=90 JPEG (JPG90), 90% down, and 110% up to scale (DN0.9 and Up1.1) images, versus $3{\times}3$ and $5{\times}5$ median filtering (MF3 and MF5, respectively) and MF3 and MF5 composite images (MF35). When the forged image was post-altered with AVE3, DN0.9, UP1.1 and JPG70 after MF3, MF5 and MF35, the performance of the proposed scheme is lower than the MFR scheme. In particular, the feature vector in this paper has a superior classification ratio compared to AVE3. However, in the measured performances with unaltered, once-altered and post-altered images versus MF3, MF5 and MF35, the resultant AUC by 'sensitivity' (TP: true positive rate) and '1-specificity' (FN: false negative rate) is achieved closer to 1. Thus, it is confirmed that the grade evaluation of the proposed scheme can be rated as 'Excellent (A)'.

A study on cabbage wholesale price forecasting model using unstructured agricultural meteorological data (비정형 농업기상자료를 활용한 배추 도매가격 예측모형 연구)

  • Jang, SooHee;Chun, Heuiju;Cho, Inho;Kim, DongHwan
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.3
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    • pp.617-624
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    • 2017
  • The production of cabbage, which is mainly cultivated in open field, varies greatly depending on weather conditions, and the price fluctuation is largely due to the presence of a substitute crop. Previous studies predicted the production of cabbage using actual weather data, but in this study, we predicted the wholesale price using unstructured agricultural meteorological data on the web. From January 2009 to October 2016, we collected documents including the cabbage on the portal site, and extracted keywords related to weather in the collected documents. We compared the forecast wholesale prices of simple models and unstructured agricultural weather models at the time of shipment. The simple model is AR model using only wholesale price, and the unstructured agricultural weather model is AR model using unstructured agricultural weather data additionally. As a result, the performance of unstructured agricultural weather model was has been found to be more accurate prediction ability.

AR modelling for a biomedical signal using Kalman filter (Kalman filter를 이용한 생체신호의 AR modelling)

  • Kim, D.K.;Park, H.J.;Chee, Y.J.;Park, K.S.;Lee, C.W.
    • Proceedings of the KOSOMBE Conference
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    • v.1997 no.05
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    • pp.184-187
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    • 1997
  • In terms of a system identification, we present a method for autoregressive(AR) modelling of variious biomedical signal. Model order is estimated fly low rank approximation and coefficients are determined by innovation processes of Kalman filter derivation. An application of the method is given for visual evoked potentials.

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An algorithm for real time blood flow estimation of LDF (LDF의 실시간 혈류추정을 위한 알고리즘)

  • Kim, Jong-Weon;Ko, Han-Woo
    • Proceedings of the KOSOMBE Conference
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    • v.1998 no.11
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    • pp.78-79
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    • 1998
  • This paper describes a real time algorithm for blood flow estimation of LDF(laser Doppler flowmeter). Many algorithms for blood flow estimation are using power spectral density of Doppler signal by blood flow. In these research, the fast Fourier transformation is used to estimate power spectral density. This is a block processing procedure rather than real time processing. The algorithm in this paper used parametric spectral estimation. This has real time capability by estimation of AR(autoregressive) parameters sample by sample, and has smoothing power spectrum. Also, the frequency resolution is not limited by number of samples used to estimate AR parameter. Another advantage of this algorithm is that AR model enhance SNR.

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