The Annals of Probability publishes papers of the highest caliber in probability theory. Papers should exhibit originality and should be of interest to a large number of probabilists. Extensions of previous results, even for results that have appeared in the Annals, are not appropriate unless important new ideas are involved.
Excellent papers whose primary interest lies in their application of probability to sciences or social sciences are more appropriate for the Annals of Applied Probability. However, interesting mathematical results that arise from studying probability models from other areas are certainly appropriate for the Annals of Probability.
The Annals also publishes review papers and surveys of areas in vigorous development. All papers accepted for publication are refereed.