The structure of exponential families of stochastic processes with a time-continuous likelihood function is investigated by means of semimartingale theory. The time-homogeneous exponential families of ...

Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...

Stochastic processes provide a mathematical framework to describe systems evolving under intrinsic randomness, while anomalous diffusion refers to the deviation from classical Brownian motion where ...

In this paper we consider the second-order real-valued stochastic processes x(t), t ∊ (a, b) ⊂ R, with Ex(t) = 0, for each t, and analyze some characteristic examples of such processes and the ...

A team of scientists from the Department of Physics at King’s College London has discovered a set of mathematical equations ...

As global financial markets become increasingly interconnected, accurately modelling correlations between assets is essential. Traditional models often assume static correlations, which fail to ...

This course is compulsory on the BSc in Actuarial Science and BSc in Actuarial Science (with a Placement Year). This course is available on the BSc in Data Science, BSc in Financial Mathematics and ...

a) KLA-Tencor Corporation, Austin, TX 78759, U.S.A. b) KLA-Tencor Corporation, Milpitas, CA 95035, U.S.A. Stochastics effects are the ultimate limiter of optical lithography technology and are a major ...