Harmonic moments, large and moderate deviation principles for Mandelbrot’s cascade in a random environment-Reference-Cited by-同舟云学术

Harmonic moments, large and moderate deviation principles for Mandelbrot’s cascade in a random environment

Published:2019-04 Issue: Volume:147 Page:57-65
ISSN:0167-7152
Container-title:Statistics & Probability Letters
language:en
Short-container-title:Statistics & Probability Letters

Author:

Li Yingqiu,Liu Quansheng,Peng Xuelian

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hunan Province of China

Changsha University of science and Technology

Centre Henri Lebesgue

Publisher

Elsevier BV

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference22 articles.

1. Large deviations for branching processes in random environment;Bansaye;Markov Process. Related Fields,2009

2. Moments, continuité, et analyse multifractale des cascades multiplicatives de Mandelbrot;Barral;Probab. Theory Related Fields,1999

3. Gaussian multiplicative chaos and KPZ duality;Barral;Comm. Math. Phys.,2013

4. Measure change in multitype branching;Biggins;Adv. Appl. Probab.,2004

5. Chen, X., He, H., 2017, On large deviation probabilities for empirical distribution of branching random walks: Schröder case and Böttcher case. Preprint.

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