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Residual Types in Time Series and Their Applications

Yıl 2012, Cilt: 25 Sayı: 2, 409 - 416, 16.04.2012

Öz

Residual types in time series has not been investigated throughly in literature. This study aims to provide practical applications of residual types. In this study, firstly, basic information about different types of residuals was given and some features of the residuals were investigated with numerical applications. Then a simulation study was conducted to show differences in decisions when different residual types were considered in diagnostic checking.

Kaynakça

  • Ansley, C.F., Newbold, P., On the finite sample distribution of residual autocorrelations in autoregressive moving average models. Biometrika, 66:547-553 (1979).
  • Akdi, Y., , Time Series Analysis (Unit Roots and Cointegration), Bıçaklar Bookstore, Ankara, 1-18 (2003).
  • Arranz, M.A., Portmanteau Test Statistics in Time Series: Time-Oriented Language, 25-32 (2005) .
  • Battaglia, F., “Approximate power of portmanteau tests for time series”, Statistics and Probability Letters, 9: 341 (1990).
  • Box, G.E.P., Jenkins, G.M and Reinsel, G.C., Time Series analysis: Forecasting and a Control , Prentice Hall: New Jersey, 7-88, 224-307 (1994).
  • Brockwell, P.J., Davis, R.A., Introduction to Time Series and Forecasting. Sec ond ed. Springer, NewYork (2002).
  • Davies, N., Triggs, C. M. And :Newbold, P., “Significance levels of the Box-Pierce “Portmanteau statistic in finite samples”, Biometrika, 64: 517-522 (1977).
  • Kasap, R., An analysis of the Istanbul Stock Exchange (ISE) national-100 index: a statistical approach. ISE Review, 6:27-33 (1998).
  • Ljung, G.M. and Box, G.E.P., On a measure of lack of fit in time series models. Biometrika, 65: 297-303 (1978).
  • Mauricio, J.A., Computing and Using Residuals in Time Series Models, Computational Statistics & Data Analysis, 52, 3:1746 – 1763 (2008).
  • Unsal, M.G., Kasap, R., Analysis Of The Matrices Used For Computing Of Residuals Types For ARMA(1,1) Model, 19. Statistics Research Symposium, TÜİK, Ankara (2010).
  • Wei, W.W.S., Time Series Analysis: Univariate and Multivariate Methods, Addison-Wesley Publishing Company, Inc.: UK, 32-64, 135-156 (1990).
Yıl 2012, Cilt: 25 Sayı: 2, 409 - 416, 16.04.2012

Öz

Kaynakça

  • Ansley, C.F., Newbold, P., On the finite sample distribution of residual autocorrelations in autoregressive moving average models. Biometrika, 66:547-553 (1979).
  • Akdi, Y., , Time Series Analysis (Unit Roots and Cointegration), Bıçaklar Bookstore, Ankara, 1-18 (2003).
  • Arranz, M.A., Portmanteau Test Statistics in Time Series: Time-Oriented Language, 25-32 (2005) .
  • Battaglia, F., “Approximate power of portmanteau tests for time series”, Statistics and Probability Letters, 9: 341 (1990).
  • Box, G.E.P., Jenkins, G.M and Reinsel, G.C., Time Series analysis: Forecasting and a Control , Prentice Hall: New Jersey, 7-88, 224-307 (1994).
  • Brockwell, P.J., Davis, R.A., Introduction to Time Series and Forecasting. Sec ond ed. Springer, NewYork (2002).
  • Davies, N., Triggs, C. M. And :Newbold, P., “Significance levels of the Box-Pierce “Portmanteau statistic in finite samples”, Biometrika, 64: 517-522 (1977).
  • Kasap, R., An analysis of the Istanbul Stock Exchange (ISE) national-100 index: a statistical approach. ISE Review, 6:27-33 (1998).
  • Ljung, G.M. and Box, G.E.P., On a measure of lack of fit in time series models. Biometrika, 65: 297-303 (1978).
  • Mauricio, J.A., Computing and Using Residuals in Time Series Models, Computational Statistics & Data Analysis, 52, 3:1746 – 1763 (2008).
  • Unsal, M.G., Kasap, R., Analysis Of The Matrices Used For Computing Of Residuals Types For ARMA(1,1) Model, 19. Statistics Research Symposium, TÜİK, Ankara (2010).
  • Wei, W.W.S., Time Series Analysis: Univariate and Multivariate Methods, Addison-Wesley Publishing Company, Inc.: UK, 32-64, 135-156 (1990).
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Statistics
Yazarlar

Mehmet Güray Ünsal

Reşat Kasap

Yayımlanma Tarihi 16 Nisan 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 25 Sayı: 2

Kaynak Göster

APA Ünsal, M. G., & Kasap, R. (2012). Residual Types in Time Series and Their Applications. Gazi University Journal of Science, 25(2), 409-416.
AMA Ünsal MG, Kasap R. Residual Types in Time Series and Their Applications. Gazi University Journal of Science. Nisan 2012;25(2):409-416.
Chicago Ünsal, Mehmet Güray, ve Reşat Kasap. “Residual Types in Time Series and Their Applications”. Gazi University Journal of Science 25, sy. 2 (Nisan 2012): 409-16.
EndNote Ünsal MG, Kasap R (01 Nisan 2012) Residual Types in Time Series and Their Applications. Gazi University Journal of Science 25 2 409–416.
IEEE M. G. Ünsal ve R. Kasap, “Residual Types in Time Series and Their Applications”, Gazi University Journal of Science, c. 25, sy. 2, ss. 409–416, 2012.
ISNAD Ünsal, Mehmet Güray - Kasap, Reşat. “Residual Types in Time Series and Their Applications”. Gazi University Journal of Science 25/2 (Nisan 2012), 409-416.
JAMA Ünsal MG, Kasap R. Residual Types in Time Series and Their Applications. Gazi University Journal of Science. 2012;25:409–416.
MLA Ünsal, Mehmet Güray ve Reşat Kasap. “Residual Types in Time Series and Their Applications”. Gazi University Journal of Science, c. 25, sy. 2, 2012, ss. 409-16.
Vancouver Ünsal MG, Kasap R. Residual Types in Time Series and Their Applications. Gazi University Journal of Science. 2012;25(2):409-16.