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 ...

We discuss several tests for determining whether a given set of independent and identically distributed (i.i.d.) draws does not come from a specified probability density function. The most commonly ...

Abstract: Advanced development in deep learning has been drawn a great attention to almost all applications, e.g. computer vision, natural language processing, autonomous vehicle driving, etc..

In federated learning, Independent and Identically Distributed (IID) is a property that refers to the data distribution of the participating clients. Independent means that the data from each client ...

Abstract: This paper studies products of independent but non-identically distributed random network matrices that arise as weight matrices in distributed consensus-type computation and inference ...