42 citations · 53 across the 13 of their papers we have counts for
Showing math.PRShow all
3 papers · 1 filter
math.PR2026
Noncentral limit results for spatiotemporal random fields on manifolds and beyond
M. D. Ruiz-Medina
This paper derives noncentral limit theorems (NCLTs) for suitable scaling of functionals of spatially homogeneous and isotropic, and stationary in time, LRD Gaussian subordinated S…
math.PR2024
High-level moving excursions for spatiotemporal Gaussian random fields with long range dependence
N. N. Leonenko, M. D. Ruiz-Medina
The asymptotic behavior of an extended family of integral geometric random functionals, including spatiotemporal Minkowski functionals under moving levels, is analyzed in this pape…
math.PR2013★ 42 cited
Limit theorems for weighted nonlinear transformations of Gaussian stationary processes with singular spectra
Alexander V. Ivanov, Nikolai Leonenko, María D. Ruiz-Medina +1
The limit Gaussian distribution of multivariate weighted functionals of nonlinear transformations of Gaussian stationary processes, having multiple singular spectra, is derived, un…