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A Kolmogorov-Smirnov type test for conditional heteroskedasticity in time series

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  • Chen, Min
  • An, Hong Zhi

Abstract

In this paper we propose a new test of conditional heteroskedasticity for time series by introducing a Kolmogorov-Smirnov-type test statistic. The asymptotic properties of the new test statistic are established. The results demonstrate that such a test is consistent.

Suggested Citation

  • Chen, Min & An, Hong Zhi, 1997. "A Kolmogorov-Smirnov type test for conditional heteroskedasticity in time series," Statistics & Probability Letters, Elsevier, vol. 33(3), pages 321-331, May.
    • Handle: RePEc:eee:stapro:v:33:y:1997:i:3:p:321-331
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    References listed on IDEAS

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    1. W. K. Li & T. K. Mak, 1994. "On The Squared Residual Autocorrelations In Non‐Linear Time Series With Conditional Heteroskedasticity," Journal of Time Series Analysis, Wiley Blackwell, vol. 15(6), pages 627-636, November.
    2. Robert F. Engle & David F. Hendry & David Trumble, 1985. "Small-Sample Properties of ARCH Estimators and Tests," Canadian Journal of Economics, Canadian Economics Association, vol. 18(1), pages 66-93, February.
    3. A. I. McLeod & W. K. Li, 1983. "Diagnostic Checking Arma Time Series Models Using Squared‐Residual Autocorrelations," Journal of Time Series Analysis, Wiley Blackwell, vol. 4(4), pages 269-273, July.
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    Cited by:

    1. Hwang, Sun Y. & Basawa, I. V., 2001. "Nonlinear time series contiguous to AR(1) processes and a related efficient test for linearity," Statistics & Probability Letters, Elsevier, vol. 52(4), pages 381-390, May.
    2. Xiangjin Shen & Hiroki Tsurumi, 2011. "Comparison of Bayesian Model Selection Criteria and Conditional Kolmogorov Test as Applied to Spot Asset Pricing Models," Departmental Working Papers 201126, Rutgers University, Department of Economics.
    3. Polonik, Wolfgang & Yao, Qiwei, 2008. "Testing for multivariate volatility functions using minimum volume sets and inverse regression," LSE Research Online Documents on Economics 24132, London School of Economics and Political Science, LSE Library.

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