Statistics is the science of analyzing data; the use of statistics is ubiquitous in science, engineering, medicine and epidemiology, marketing, and many other application areas. Probability theory ...

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 ...

Introduction to probability theory and statistical methods necessary for analyzing the behavior of processes and experiments. Statistical tests for detecting significant changes in process parameters.

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 ...

This is a preview. Log in through your library . Abstract We construct a nondecreasing pure jump Markov process, whose jump measure heavily depends on the values taken by the process. We determine the ...

This is a preview. Log in through your library . Abstract Random walks are a fundamental model in applied mathematics and are a common example of a Markov chain. The limiting stationary distribution ...