A note on joint functional convergence of partial sum and maxima for linear processes (CROSBI ID 249603)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Krizmanić, Danijel
engleski
A note on joint functional convergence of partial sum and maxima for linear processes
Recently, for the joint partial sum and partial maxima processes constructed from linear processes with independent identically distributed innovations that are regularly varying with tail index α∈(0, 2), a functional limit theorem with the Skorohod weak M2 topology has been obtained. In this paper we show that, if all the coefficients of the linear processes are of the same sign, the functional convergence holds in the stronger topology, i.e. in the Skorohod weak M1 topology on the space of R^2-valued càdlàg functions on [0, 1].
Functional limit theorem ; Regular variation ; Stable Lévy process ; Extremal process ; M2 topology ; Linear process
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
138 (1)
2018.
42-46
objavljeno
0167-7152
1879-2103
10.1016/j.spl.2018.02.063