The Annals of Statistics The Annals of Applied Probability
Biometrics Ann. Inst. H. Poincare
Biometrika The Annals of Probability
International Statistical Review Advances in Applied Probability
Journal of the American Statistical Association (JASA)

Journal of Applied Probability
Journal of Multivariate Analysis Journal of Theoretical Probability
Journal of Statistical Planning and Inference Stochastic Models
Journal of the Royal Statistical Society: Series B (Statistical Methodology) Probability Theory and Related Fields
Technometrics Stochastic Processes and their Applications
(Note: The above 18 international journals are used to evaluate research productivity and publication habits in probability and statistics by Genest, C. (1999), Probability and statistics: a tale of two worlds? The Canadian Journal of Statistics , 27, 421-444, where Tables 10 and 15 are Top 25 World Institutions and 15 most prolific researchers in Statistics.)