ON THE ORDER OF MAGNITUDE OF SUMS OF NEGATIVE POWERS OF INTEGRATED PROCESSES
Keyword(s):
Upper and lower bounds on the order of magnitude of $\sum\nolimits_{t = 1}^n {\lefttnq#x007C; {x_t } \righttnq#x007C;^{ - \alpha } } $, where xt is an integrated process, are obtained. Furthermore, upper bounds for the order of magnitude of the related quantity $\sum\nolimits_{t = 1}^n {v_t } \lefttnq#x007C; {x_t } \righttnq#x007C;^{ - \alpha } $, where vt are random variables satisfying certain conditions, are also derived.
1999 ◽
Vol 10
(04)
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pp. 503-512
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1981 ◽
Vol 89
(3)
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pp. 511-523
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1999 ◽
Vol 42
(2)
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pp. 349-374
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2014 ◽
Vol 25
(07)
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pp. 877-896
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2015 ◽
Vol 47
(01)
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pp. 27-36
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