Random walks constitute one of the cornerstone concepts in probability theory and statistical physics, representing a class of stochastic processes in which a moving entity takes successive steps in ...

Random fields provide a versatile mathematical framework to describe spatially dependent phenomena, ranging from physical systems and quantum chaos to cosmology and spatial statistics. Underpinning ...

This is a preview. Log in through your library . Abstract In this paper Pitman's method of constructing and comparing tests based on statistics which are asymptotically normal under the null ...

This is a preview. Log in through your library . Abstract The main purpose of this paper is to draw attention to a simple and useful general "continuity theorem" type result, from which a great deal ...

Introduces exploratory data analysis, probability theory, statistical inference, and data modeling. Topics include discrete and continuous probability distributions, expectation, laws of large numbers ...