2 papers
math.PR2026
Scaling limit of heavy tailed nearly unstable cumulative INAR() processes and rough fractional diffusions
Yingli Wang, Chunhao Cai, Ping He +1
In this paper, we investigate the scaling limit of heavy-tailed nearly unstable cumulative INAR() processes. These processes exhibit a power-law tail of the form $n^{-(1+α…
math.ST2025
Statistical Inference for Cumulative INAR() Processes via Least-Squares
Yingli Wang, Xiaohong Duan, Ping He
This paper investigates the cumulative Integer-Valued Autoregressive model of infinite order, denoted as INAR(), a class of processes crucial for modeling count time series…