Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1151764 | Statistics & Probability Letters | 2015 | 10 Pages |
Abstract
We derive new bounds of the remainder in a combinatorial central limit theorem without assumptions on independence and existence of moments of summands. For independent random variables our theorems imply Esseen and Berry–Esseen type inequalities, some other new bounds and a combinatorial central limit theorem in the case of infinite variations.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Andrei N. Frolov,