Path probability of stochastic motion: A functional approach

the effect of functional/notional approach on the proficiency level of efl learners and its evaluation through functional test

in fact, this study focused on the following questions: 1. is there any difference between the effect of functional/notional approach and the structural approaches to language teaching on the proficiency test of efl learners? 2. can a rather innovative language test referred to as "functional test" ge devised so so to measure the proficiency test of efl learners, and thus be as much reliable an...

Transient Probability Functions: A Sample Path Approach

A new approach is used to determine the transient probability functions of Markov processes. This new solution method is a sample path counting approach and uses dual processes and randomization. The approach is illustrated by determining transient probability functions for a three-state Markov process. This approach also provides a way to calculate transient probability functions for Markov pr...

The information path functional approach for solution of a controllable stochastic problem

We study a stochastic control system, described by Ito’s controllable equation, and evaluate the solutions by an entropy functional (EF), defined by the equation’s functions of controllable drift and diffusion. Considering a control problem for this functional, we solve the EF control’s variation problem (VP), which leads to both a dynamic approximation of the process’ entropy functional by an ...

A probability-based approach to model-based path planning

Effects of Probability Function on the Performance of Stochastic Programming

Stochastic programming is a valuable optimization tool where used when some or all of the design parameters of an optimization problem are defined by stochastic variables rather than by deterministic quantities. Depending on the nature of equations involved in the problem, a stochastic optimization problem is called a stochastic linear or nonlinear programming problem. In this paper,a stochasti...