The Einstein equations remain the cornerstone of general relativity, underpinning our understanding of how matter and energy influence spacetime curvature. Recent investigations have not only ...

We consider the asymptotic behaviour of the marginal maximum likelihood empirical Bayes posterior distribution in general setting. First, we characterize the set where the maximum marginal likelihood ...

Dissipative wave equations constitute an extensive class of partial differential equations wherein damping terms play a pivotal role in governing the long-term dynamics of the system. Recent ...

This paper considers the asymptotic distribution of the likelihood ratio statistic T for testing a subset of parameter of interest θ, θ = (γ, η), H₀: γ = γ₀ ...

This work establishes the first asymptotic stability result for multi-wave patterns in damped wave equations with partially linearly degenerate flux. The authors prove that global solutions converge ...