In this paper, we present an application of the stochastic calculusto the problem of modeling electrical networks. The filtering problem have animportant role in the theory of stochastic differential equations(SDEs). In thisarticle, we present an application of the continuous Kalman-Bucy filter for a RLcircuit. The deterministic model of the circuit is replaced by a stochastic model byadding a ...

Representation and modeling of economic uncertainty is addressed by different modeling methods, namely stochastic variables and probabilities, interval analysis, and fuzzy numbers, in particular triple estimates. Fo-cusing on discounted cash flow analysis numerical results are presented, comparisons are made between alter-native modeling methods, and characteristics of the methods are discussed.

drought is a gradual phenomenon and cause important changes in water resources, agriculture and so on. due to the stochastic behavior of factors that influence the occurrence and intense of drought, one can consider this phenomenon as a stochastic process. with respect to the importance of predicted drought severity and its vital influence in designing and operating water resources systems, thi...

fault zones and fault-related fracture systems control the mechanical behaviors and fluid-flow properties of the earth’s crust. furthermore, nowadays, modeling is being increasingly used in order to understand the behavior of rock masses, and to determine their characteristics. in this work, fault zones and fracture patterns are reviewed, and also comprehensive studies are carried out on the fr...

abstract stochastic model for synthetic data generation is not available for daily flows of intermittent streams. such a model is required in the planning and operation of structures on an intermittent stream for purposes where short time flow fluctuations are important. in this study a model is developed for such a case. the model consists of four steps: determination of the days on which flow...

Impairments in cell migration processes may cause various diseases, among which cancer cell metastasis, tumor angiogenesis, and the disability of immune cells to infiltrate into tumors are prominent ones. Mathematical modeling has been widely used to analyze the cell migration process. Cell migration is a complicated process and requires statistical methods such as random walk for proper analys...