Concentration inequalities for Poisson point processes with application to adaptive intensity estimation

نویسندگان

چکیده

We derive concentration inequalities for maxima of empirical processes associated with Poisson point processes. The proofs are based on a careful application Ledoux's entropy method. demonstrate the utility obtained by to adaptive intensity estimation.

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ژورنال

عنوان ژورنال: Stochastics

سال: 2022

ISSN: ['2472-7067', '0090-9491']

DOI: https://doi.org/10.1080/17442508.2022.2034819