$\begingroup$

I shall give a definitive, evidence based answer. The answer is YES.

Look at Google Scholar metrics for probability and statistics, top 10 sources by h5-index:

Publication h5-index h5-median 1. Journal of Econometrics 62 93 2. The Annals of Statistics 58 81 3. arXiv Statistics Theory (math.ST) 57 80 4. Journal of Statistical Software 53 113 5. arXiv Probability (math.PR) 53 65 6. arXiv Methodology (stat.ME) 48 69 7. Journal of the American Statistical Association 48 66 8. Statistics in Medicine 42 62 9. Computational Statistics & Data Analysis 40 51 10. Journal of Business & Economic Statistics 39 67

Note, this list is not based on the number of publications, it's based on the the citation index.

Google's citation index is becoming as popular as Scopus and Reuters (ok, I don't have proof of this statement), so my answer is as objective as it gets.

Compare this to the list from Scimagojr.com on Statistics and Probability:

Title Type SJR H index Total Docs. (2014) Total Docs. (3years) Total Refs. Total Cites (3years) Citable Docs. (3years) Cites / Doc. (2years) Ref. / Doc. Country 1 Annals of Mathematics j Q1 8,551 72 46 209 1.572 647 207 3,05 34,17 US 2 Vital and health statistics. Series 10, Data from the National Health Survey k Q1 7,801 30 4 7 55 125 7 16,33 13,75 US 3 Journal of the Royal Statistical Society. Series B: Statistical Methodology j Q1 6,148 90 45 99 1.507 547 94 3,09 33,49 GB 4 Annals of Statistics j Q1 5,602 103 64 296 2.099 809 287 2,25 32,80 US 5 Journal of Statistical Software j Q1 5,003 64 67 220 2.540 1.364 220 3,91 37,91 US 6 Journal of the American Statistical Association j Q1 4,162 123 106 408 3.501 907 373 1,85 33,03 US 7 Probability Surveys j Q1 3,645 22 1 20 84 46 19 2,73 84,00 US 8 Bioinformatics j Q1 3,576 248 809 2.145 18.801 11.329 2.089 4,69 23,24 GB 9 Journal of Business and Economic Statistics j Q1 3,496 66 58 146 1.464 384 139 2,21 25,24 US 10 Biometrika j Q1 3,342 83 58 233 1.485 369 229 1,28 25,60 GB

There's good overlap with Google Scholar's top 10 list, as you can see. The latter list is also based on h-index, but it's not Google's citation. This only validates the former table, and conclusions from it: arXiv is popular among statisticians in academia.

SSRN is another place to dump the preprints. It's popular among econometricians.