Affine processes provide a versatile framework for modelling complex financial phenomena, ranging from interest rate dynamics to credit risk and beyond. Their defining characteristic is the affine, or ...

Many physical and engineering systems use stochastic processes as key tools for modelling and reasoning. Many physical and engineering systems use stochastic processes as key tools for modelling and ...

Research Institute for Economics and Business Administration, Kobe University, Kobe, Japan Many phenomena with power laws have been observed in various fields of the natural and social sciences, and ...

A geometric Brownian motion (GBM) is a continuous-time stochastic process in which the logarithm of the random variables follows a Brownian motion (also called a Wiener process) with drift. It is an ...

Stochastic processes are at the center of probability theory, both from a theoretical and an applied viewpoint. Stochastic processes have applications in many disciplines such as physics, computer ...

Many real-world systems involve randomness: stock markets, weather patterns, population dynamics, and even how particles move through fluids. These are examples of stochastic systems. This module ...

This package offers a number of common discrete-time, continuous-time, and noise process objects for generating realizations of stochastic processes as numpy arrays. The diffusion processes are ...