Although the concept of symmetry is widely used in many fields, it almost not discussed finance. This appears to be relevant relation, for example, mathematical models that can predict stock prices contribute decision-making process. work considers price European options with a new class non-constant delay model. The stochastic pantograph differential equation (SPDE) variable provided order ove...

Parameter inference for stochastic differential equation mixed effects models (SDEMEMs) is challenging. Analytical solutions these are rarely available, which means that the likelihood also intractable. In this case, exact (up to discretisation of equation) possible using particle MCMC methods. Although posterior targeted by methods, a naive implementation SDEMEMs can be highly inefficient. Our...

Heart failure is one of the significant public health burdens in world. According to WHO, 2 million people suer heart worldwide. In this study, we propose a bivariate stochastic model for disease progression and recovery process, which helps understand underlying mechanisms process suggests strategies improve performance system. Sensitivity analysis carried out behavior.

In this article we present the modeling of bi-stability view problems described by the activity or firing rates of two interacting population of neurons. Starting from the study of a complex system, the system of stochastic differential equations describing the time evolution of the activity of the two populations of neurons, we point out the strength and weakness of this model and consider its...