Self-normalized Moderate Deviations for Random Walk in Random Scenery

Author:

Feng Xinwei,Shao Qi-Man,Zeitouni Ofer

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference19 articles.

1. Asselah, A.: Large deviations estimates for self-intersection local times for simple random walk in $$\mathbb{Z}^3$$. Probab. Theory Relat. Fields 141, 19–45 (2018)

2. Asselah, A., Castell, F.: Random walk in random scenery and self-intersection local times in dimensions $$d\ge 5$$. Probab. Theory Relat. Fields 138, 1–32 (2007)

3. Becker, M., König, W.: Moments and distribution of the local times of a transient random walk on $$\mathbb{Z}^d$$. J. Theor. Probab. 22, 365–374 (2009)

4. Borodin, A.: Limit theorems for sums of independent random variables defined on non-recurrent random walk. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 85, 17–29 (1979)

5. Borodin, A.: A limit theorem for sums of independent random variables defined on a recurrent random walk. Dokl. Akad. Nauk. SSSR 246, 786–787 (1979)

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