## B. Tsirelson | ## From uniform renewal theorem to uniform large and moderate deviations for renewal-reward processes | ## Recent works |

Boris Tsirelson,

"From uniform renewal theorem to uniform large and moderate deviations for renewal-reward processes"

Electronic Communications in Probability **18**:52, 1-13 (2013).

Available online (free of charge) on the journal site:

http://ecp.ejpecp.org/article/view/2719

See also
arXiv.org/abs/1207.1290

A research paper, 13 pages, bibl. 8 refs.

A uniform key renewal theorem is deduced from the uniform Blackwell's renewal theorem. A uniform LDP (large deviations principle) for renewal-reward processes is obtained, and MDP (moderate deviations principle) is deduced under conditions much weaker than existence of exponential moments.

- Introduction.
- Uniform renewal theorems.
- Uniform large deviations.
- Moderate deviations.

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