On the local times of stationary processes with conditional local limit theorems

التفاصيل البيبلوغرافية
العنوان: On the local times of stationary processes with conditional local limit theorems
المؤلفون: Denker, Manfred, Zheng, Xiaofei
سنة النشر: 2017
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Probability, 60G10
الوصف: We investigate the connection between conditional local limit theorems and the local time of integer-valued stationary processes. We show that a conditional local limit theorem (at 0) implies the convergence of local times to Mittag-Leffler distributions, both in the weak topology of distributions and a.s. in the space of distributions.
Comment: 18 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1704.04304
رقم الانضمام: edsarx.1704.04304
قاعدة البيانات: arXiv