Phylogenetic comparative methods have been limited in the way they model adaptation.
Although some progress has been made, there are still no methods that can fully account for …

Gaussian processes, such as Brownian motion and the Ornstein-Uhlenbeck process, have
been popular models for the evolution of quantitative traits and are widely used in …

Abstract Models of phenotypic evolution fit to phylogenetic comparative data are widely used
to make inferences regarding the tempo and mode of trait evolution. A wide range of models …

Phylogenetic regression models for trait evolution incorporate phylogenetic trees for the
analysis of comparative data, in order to study trait relationships among a group of related …

Over the past decades, Gaussian processes have been widely used to study trait evolution.
In particular, two members of Gaussian processes, Brownian motion and the Ornstein …

In this article, we consider the development of unbiased estimators of the Hessian, of the log-
likelihood function with respect to parameters, for partially observed diffusion processes …

We studied one class of second-order elliptic equations with intermediate coefficient and
proved that the semi-periodic problem on a strip is unique solvable in Hilbert space. We …

We consider the following equation− y+ r (x) y+ q (x) y= f (x), where the intermediate
coefficient r is not controlled by q and it is can be strong oscillate. We give the conditions of …

We prove asymptotically efficient inference results concerning an Ornstein–Uhlenbeck
regression model driven by a non-Gaussian stable Lévy process, where the output process …

Current phylogenetic comparative methods generally employ the Ornstein–Uhlenbeck (OU)
process for modeling trait evolution. Being able of tracking the optimum of a trait within a …