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- W2239403635 abstract "Abstract. We prove uniform convergence results for the integrated periodogram of a weakly dependent time series, namely a strong law of large numbers and a central limit theorem. These results are applied to Whittle's parametric estimation. Under general weak-dependence assumptions, the strong consistency and asymptotic normality of Whittle's estimate are established for a large class of models. For instance, the causal θ-weak dependence property allows a new and unified proof of those results for autoregressive conditionally heteroscedastic (ARCH)(∞) and bilinear processes. Non-causal η-weak dependence yields the same limit theorems for two-sided linear (with dependent inputs) or Volterra processes." @default.
- W2239403635 created "2016-06-24" @default.
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- W2239403635 date "2008-08-14" @default.
- W2239403635 modified "2023-10-02" @default.
- W2239403635 title "Uniform limit theorems for the integrated periodogram of weakly dependent time series and their applications to Whittle's estimate" @default.
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- W2239403635 doi "https://doi.org/10.1111/j.1467-9892.2008.00588.x" @default.
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