Consider a random vector $(V_{1}, \dots , V_{n})$ where $\{V_{k}\}_{k=1, n}$ are the first $n$ components of two-parameter Poisson-Dirichlet distribution $PD(\alpha \theta )$. In this paper, we derive decomposition for vector, and propose an exact simulation algorithm to sample from vector. Moreover, special case arises when $\theta /\alpha $ is positive integer, which present very fast modifie...

Abstract Solving fluid dynamics equations often requires the use of closure relations that account for missing microphysics. For example, when solving related to systems with a large Reynolds number, sub-grid effects become important and turbulence is required, in Knudsen kinetic required. By adding an equation governing growth transport quantity requiring relation, it becomes possible capture ...

To improve the reliability of simulation results, uncertainty analysis methods were developed in Electromagnetic Compatibility (EMC) field. Random variables are used to describe random events. The more you have, less efficient is. Therefore, many high-accuracy have problem dimensional disaster, which means calculation efficiency decreases exponentially with increase number variables. A variable...

Abs t r ac t . We propose a new hybrid I/O automaton model that is capable of describing both continuous and discrete behavior. The model, which extends the timed I /O automaton model of [12, 7] and the phase transition system models of [15, 2], allows communication among components using both shared variables and shared actions. The main contributions of this paper are: (1) the definition of h...

on scalar models of measurement error in triangulation. Using t h m-dimensional (3D) Gaussian distributions to model triangulation error is shown lo lead lo much better performance. How to compute the error model from image correspondences. estimate robot motion between frames, and update the global positions of the robot and the hndm8rks over time are discussed. Simulations show that, compared...