Random walks constitute one of the most fundamental models in the study of stochastic processes, representing systems that evolve in a sequence of random steps. Their applications range from modelling ...
Stochastic differential equations (SDEs) and random processes form a central framework for modelling systems influenced by inherent uncertainties. These mathematical constructs are used to rigorously ...
ABSTRACT: In the communication field, during transmission, a source signal undergoes a convolutive distortion between its symbols and the channel impulse response. This distortion is referred to as ...
A GUI-based tool for analyzing random variables and stochastic processes. The project provides both statistical measures and visualization tools for probability and stochastic process analysis.
Based on a simple mathematical approach illustrated by a large number of examples, this article deals with the theory of probabilities applied to physical data processing. The concepts of discrete and ...
Abstract: The paper deals with computer generation of pseudorandom numbers, random variables and stochastic processes. Inverse-transform method, composition method and acceptance-rejection method for ...
ABSTRACT: It is not generally known that the inequality that Bell derived using three random variables must be identically satisfied by any three corresponding data sets of ±1’s that are writable on ...
CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...
Abstract: Most of the algorithms of radio signal processing in modern communication and radiotechnical systems are developed on the assumption that signals and noises have Gaussian distributions.