3 papers
physics.gen-ph2021
On Multifractionality of Spherical Random Fields with Cosmological Applications
Phil Broadbridge, Ravindi Nanayakkara, Andriy Olenko
This paper studies random fields on the unit sphere. Traditionally, isotropic Gaussian random fields are considered as the underlying statistical model of the cosmic microwave back…
math.ST2020
Asymptotic normality of simultaneous estimators of cyclic long-memory processes
Antoine Ayache, Myriam Fradon, Ravindi Nanayakkara +1
Spectral singularities at non-zero frequencies play an important role in investigating cyclic or seasonal time series. The publication [2] introduced the generalized filtered metho…
math.PR2020
Analysis of Spherical Monofractal and Multifractal Random Fields
Nikolai Leonenko, Ravindi Nanayakkara, Andriy Olenko
The Rényi function plays an important role in the analysis of multifractal random fields. For random fields on the sphere, there are three models in the literature where the Rényi…