A functional limit theorem for moving averages with weakly dependent heavy-tailed innovations (CROSBI ID 298997)
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Podaci o odgovornosti
Krizmanić, Danijel
engleski
A functional limit theorem for moving averages with weakly dependent heavy-tailed innovations
Recently a functional limit theorem for sums of moving averages with random coefficients and i.i.d. heavy tailed innovations has been obtained under the assumption that all partial sums of the series of coefficients are a.s. bounded between zero and the sum of the series. The convergence takes place in the space D[0, 1] of cadlag functions with the Skorohod M2 topology. In this article we extend this result to the case when the innovations are weakly dependent in the sense of strong mixing and local dependence condition D'.
functional limit theorem ; regular variation ; M2 topology ; moving average process
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Podaci o izdanju
36 (1)
2022.
138-156
objavljeno
0103-0752
10.1214/21-BJPS520