Non-central moderate deviations for compound fractional Poisson processes

التفاصيل البيبلوغرافية
العنوان: Non-central moderate deviations for compound fractional Poisson processes
المؤلفون: Beghin, Luisa, Macci, Claudio
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Probability, 60F10, 60F05, 60G22, 33E12
الوصف: The term "moderate deviations" is often used in the literature to mean a class of large deviation principles that, in some sense, fill the gap between a convergence in probability to zero (governed by a large deviation principle) and a weak convergence to a centered Normal distribution. We talk about "non-central moderate deviations" when the weak convergence is towards a non-Gaussian distribution. In this paper we study non-central moderate deviations for compound fractional Poisson processes with light-tailed jumps.
Comment: 9 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2109.07862
رقم الأكسشن: edsarx.2109.07862
قاعدة البيانات: arXiv