2 citations · 5 across the 5 of their papers we have counts for
6 papers
Evolution of time-fractional stochastic hyperbolic diffusion equations on the unit sphere
Tareq Alodat, Quoc T. Le Gia
This paper examines the temporal evolution of a two-stage stochastic model for spherical random fields. The model uses a time-fractional stochastic hyperbolic diffusion equation, w…
On approximation for time-fractional stochastic diffusion equations on the unit sphere
T. Alodat, Q. T. Le Gia, I. H. Sloan
This paper develops a two-stage stochastic model to investigate evolution of random fields on the unit sphere $\bS^2$ in . The model is defined by a time-fractional stochasti…
Nonparametric Asymptotic Distributions of Pianka's and MacArthur-Levins Measures
Tareq Alodat, M. T. Alodat, Dareen Omari
This article studies the asymptotic behaviors of nonparametric estimators of two overlapping measures, namely Pianka's and MacArthur-Levins measures. The plug-in principle and the…
Asymptotic Behaviour of Discretised Functionals of Long-Range Dependent Functional Data
Tareq Alodat, Andriy Olenko
The paper studies the asymptotic behaviour of weighted functionals of long-range dependent data over increasing observation windows. Various important statistics, including sample…
Limit theorems for filtered long-range dependent random fields
Tareq Alodat, Nikolai Leonenko, Andriy Olenko
This article investigates general scaling settings and limit distributions of functionals of filtered random fields. The filters are defined by the convolution of non-random kernel…
Weak convergence of weighted additive functionals of long-range dependent fields
Tareq Alodat, Andriy Olenko
We provide asymptotic results for the distribution of weighted nonlinear functionals of Gaussian field with long-range dependence. We also show that integral functionals and the co…