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    A Study on Fractal Characteristics of ARMA Model

    Source: Journal of Manufacturing Science and Engineering:;1996:;volume( 118 ):;issue: 004::page 677
    Author:
    M. Hasegawa
    ,
    J. C. Liu
    ,
    K. Okuda
    ,
    M. Nunobiki
    DOI: 10.1115/1.2831087
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper discusses the fractal characteristics of the autoregressive moving average (ARMA) model, which has been considered as one of the useful approaches for investigating the random engineering phenomena. Firstly, the fractal characteristic of the ARMA model is proven using the variation method. Then, based on this result, the relationships between the fractal dimensions of the AR (1), the AR (2) and the ARMA (2,1) models and autoregressive and moving average parameters of these models are illustrated quantitatively by using the multiple regression analysis.
    keyword(s): Fractals , Regression analysis AND Dimensions ,
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      A Study on Fractal Characteristics of ARMA Model

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/117285
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    contributor authorM. Hasegawa
    contributor authorJ. C. Liu
    contributor authorK. Okuda
    contributor authorM. Nunobiki
    date accessioned2017-05-08T23:50:45Z
    date available2017-05-08T23:50:45Z
    date copyrightNovember, 1996
    date issued1996
    identifier issn1087-1357
    identifier otherJMSEFK-27286#677_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/117285
    description abstractThis paper discusses the fractal characteristics of the autoregressive moving average (ARMA) model, which has been considered as one of the useful approaches for investigating the random engineering phenomena. Firstly, the fractal characteristic of the ARMA model is proven using the variation method. Then, based on this result, the relationships between the fractal dimensions of the AR (1), the AR (2) and the ARMA (2,1) models and autoregressive and moving average parameters of these models are illustrated quantitatively by using the multiple regression analysis.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Study on Fractal Characteristics of ARMA Model
    typeJournal Paper
    journal volume118
    journal issue4
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.2831087
    journal fristpage677
    journal lastpage680
    identifier eissn1528-8935
    keywordsFractals
    keywordsRegression analysis AND Dimensions
    treeJournal of Manufacturing Science and Engineering:;1996:;volume( 118 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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