The integrated periodogram for long-memory processes with finite or infinite variance
We derive functional limit theorems for the integrated periodogram of linear processes whose innovations may have finite or infinite variance, and which may exhibit long memory. The results are applied to obtain corresponding Kolmogorov-Smirnov and Cramér-von Mises goodness-of-fit tests.
Year of publication: |
1997
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Authors: | Kokoszka, P. ; Mikosch, T. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 66.1997, 1, p. 55-78
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Publisher: |
Elsevier |
Keywords: | Integrated periodogram Long memory Heavy tails Functional limit theorems Goodness-of-fit tests Fractional ARIMA |
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