A functional limit theorem for self-normalized linear processes with random coefficients and i.i.d. heavy-tailed innovations (CROSBI ID 328393)
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Podaci o odgovornosti
Krizmanić, Danijel
engleski
A functional limit theorem for self-normalized linear processes with random coefficients and i.i.d. heavy-tailed innovations
In this article we derive a self-normalized functional limit theorem for strictly stationary linear processes with i.i.d. heavy-tailed innovations and random coefficients under the condition that all partial sums of the series of coefficients are a.s. bounded between zero and the sum of the series. The convergence takes part in the space of cadlag functions on [0, 1] with the Skorokhod M2 topology.
Functional limit theorem ; Regular variation ; M2 topology ; Linear process ; Self-normalized process
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Podaci o izdanju
63 (3)
2023.
305-336
objavljeno
0363-1672
1573-8825
https://doi.org/10.1007/s10986-023-09601-3