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      Wild bootstrap Ljung–Box test for residuals of ARMA models robust to variance change

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      https://www.riss.kr/link?id=A108412026

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      다국어 초록 (Multilingual Abstract)

      Ljung–Box (LB) test is one of the most popular test for determining whether auto-correlations in residuals of fitted time series models exist or not. However, it may not be appropriate to apply LB test to time series data with variance change due to...

      Ljung–Box (LB) test is one of the most popular test for determining whether auto-correlations in residuals of fitted time series models exist or not.
      However, it may not be appropriate to apply LB test to time series data with variance change due to size distortions.
      In this paper, we proposed a wild bootstrap-based LB test for residuals of fitted ARMA models.
      Our simulation study shows that our wild bootstrap-based LB test achieves the correct sizes and comparable powers in finite samples in the presence of variance change.

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      참고문헌 (Reference) 논문관계도

      1 Ahlgren, N., "Wild bootstrap tests for autocorrelation in vector autoregressive models" Hanken School of Economics 2012

      2 Lee, T., "Wild bootstrap ljung. box test for cross correlations of multivariate time series" 147 : 59-62, 2016

      3 Brockwell, P. J., "Time Series : Theory and Methods" Springer 2006

      4 Davidson, R., "The wild bootstrap, tamed at last" 146 : 162-169, 2008

      5 Hannan, E. J., "The estimation of the order of an Arma process" 8 : 1071-1081, 1980

      6 Dalla, V., "Robust tests for white noise and cross-correlation" 2020

      7 Chen, Y. Y., "On the robustness of Ljung-Box and mcleod-li q tests : A simulation study" 3 : 1-10, 2002

      8 Ljung, G. M., "On a measure of a lack of ft in time series models" 65 : 297-303, 1978

      9 Wu, C. F. J., "Jackknife, bootstrap and other resampling methods in regression analysis" 14 : 1261-1295, 1986

      10 Box, G. E. P., "Distribution of residual autocorrelations in autoregressiveintegrated moving average time series models" 65 : 1509-1526, 1970

      1 Ahlgren, N., "Wild bootstrap tests for autocorrelation in vector autoregressive models" Hanken School of Economics 2012

      2 Lee, T., "Wild bootstrap ljung. box test for cross correlations of multivariate time series" 147 : 59-62, 2016

      3 Brockwell, P. J., "Time Series : Theory and Methods" Springer 2006

      4 Davidson, R., "The wild bootstrap, tamed at last" 146 : 162-169, 2008

      5 Hannan, E. J., "The estimation of the order of an Arma process" 8 : 1071-1081, 1980

      6 Dalla, V., "Robust tests for white noise and cross-correlation" 2020

      7 Chen, Y. Y., "On the robustness of Ljung-Box and mcleod-li q tests : A simulation study" 3 : 1-10, 2002

      8 Ljung, G. M., "On a measure of a lack of ft in time series models" 65 : 297-303, 1978

      9 Wu, C. F. J., "Jackknife, bootstrap and other resampling methods in regression analysis" 14 : 1261-1295, 1986

      10 Box, G. E. P., "Distribution of residual autocorrelations in autoregressiveintegrated moving average time series models" 65 : 1509-1526, 1970

      11 Patilea, V., "Diagnostic checking Arma time series models using squared-residual autocorrelations" 116 : 190-207, 2013

      12 Flachaire, E., "Bootstrapping heteroskedastic regression models: wild bootstrap vs. pairs bootstrap" 49 : 361-376, 2005

      13 Liu, R., "Bootstrap procedures under some non-i. i. d. models" 16 : 1696-1708, 1988

      14 Mammen, E., "Bootstrap and wild bootstrap for high dimensional linear models" 21 : 255-285, 1993

      15 Bucher, A., "A note on conditional versus joint unconditional weak convergence in bootstrap consistency results" 32 : 1145-1165, 2019

      16 Catani, P., "A lagrange multiplier test for testing the adequacy of the constant conditional correlation garch model" Hanken School of Economics 2014

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