“I know of scarcely anything so apt to impress the imagination as the wonderful form of cosmic order expressed by the ‘Law of Frequency of Error’,” the British polymath Francis Galton wrote in 1889.

Stochastic processes form the backbone of modern probability theory, describing systems that evolve randomly over time or space. They are instrumental in areas ranging from statistical physics to ...

The Central Limit Theorem is a statistical concept applied to large data distributions. It says that as you randomly sample data from a distribution, the means and standard deviations of the samples ...

We explore properties of the χ² and Rényi distances to the normal law and in particular propose necessary and sufficient conditions under which these distances tend to zero in the central limit ...