This is a preview. Log in through your library . Abstract Three different definitions of the renewal processes are considered. For each of them, a central limit theorem with a remainder term is proved ...

The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis is on importance and interest; formal novelty and ...

Animator Shuyi Chiou and the folks at CreatureCast give an adorable introduction to the central limit theorem – an important concept in probability theory that can reveal normal distributions (i.e.

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 ...

The usual local central limit theorem provides an approximation for the probability for an iid sequence . The approximation is proportional to the lattice size of the underlying distribution of the ...

Stein's method has emerged as a powerful and versatile tool in probability theory for deriving error bounds in distributional approximations. Originally developed to ...