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The term noncentral moderate deviations is used in the literature to mean aclass of large deviation principles that, in some sense, fills the gap betweenthe convergence in probability to a constant (governed by a reference largedeviation principle) and a weak convergence to a non-Gaussian (andnon-degenerating) distribution. Some noncentral moderate deviation results inthe literature concern time-changed univariate L\'evy processes, where thetime-changes are given by inverse stable subordinators. In this paper wepresent analogue results for multivariate L\'evy processes; in particular therandom time-changes are suitable linear combinations of independent inversestable subordinators.

Noncentral moderate deviations for time-changed multivariate L\'evy processes with linear combinations of inverse stable subordinators