The standard Hawkes process is constructed from a homogeneous Poisson process and uses the same exciting function for different generations of offspring. We propose an extension of this process by ...

Function spaces form a fundamental framework in modern mathematical analysis, allowing researchers to systematically study functions through norms, metrics and topological properties. Asymptotic ...

Some general results concerning the asymptotic behavior of the value of the empirical distribution function at a random point (e.g. the sample mean) are given. These results are then used to obtain: ...

Function spaces and asymptotic analysis are essential areas of mathematical research that explore the properties and behaviors of functions under various conditions. Function spaces, such as Besov and ...