This paper considers distributed statistical inference for general symmetric statistics in the context of massive data with efficient computation. Estimation efficiency and asymptotic distributions are provided, which reveal different results between nondegenerate degenerate cases, show number subsets plays an important role. Two bootstrap methods proposed analyzed to approximation underlying d...

Abstract Frequentist inference typically is described in terms of hypothetical repeated sampling but there are advantages to an interpretation that uses a single random sample. Contemporary examples given indicate probabilities for phenomena interpreted as classical probabilities, and this equally likely chance outcomes applied statistical using urn models. These used address Bayesian criticism...