This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2010. We address the problem of the joint statistical inference of ...

This paper presents new results on the nonhomogeneous bivariate compound Poisson process with a short-term periodic intensity function. The dependence between margins is modeled using the Lévy copula.

Lecture Notes-Monograph Series, Vol. 52, Time Series and Related Topics: In Memory of Ching-Zong Wei (2006), pp. 236-244 (9 pages) This exposition explains the basic ideas of Stein's method for ...

The asymptotic theory for the sample mean of a marked point process in d dimensions is established, allowing for the possibility that the underlying Poisson point process is inhomogeneous. A novel ...

Abstract: Due to recent developments in the cellular communication system, stochastic process implementation is necessary. The cellular communication system exhibits random patterns in various domains ...

Abstract: In this paper, based on Poisson point processes, two new methods for joint nonhomogeneous clutter background estimation and multitarget tracking are presented. In many scenarios, after the ...

Neurons transmit information with sequences of action potentials. These responses are variable—repeated measurements under identical experimental conditions give different spike trains—but the origins ...

Point process provides a mathematical framework for characterizing neuronal spiking activities. Classical point process methods often focus on the conditional intensity function, which describes the ...