A Rademacher-Menchov approach for random coefficient bifurcating autoregressive processes
Probability
2012-10-23 v1 Statistics Theory
Statistics Theory
Abstract
We investigate the asymptotic behavior of the least squares estimator of the unknown parameters of random coefficient bifurcating autoregressive processes. Under suitable assumptions on inherited and environmental effects, we establish the almost sure convergence of our estimates. In addition, we also prove a quadratic strong law and central limit theorems. Our approach mainly relies on asymptotic results for vector-valued martingales together with the well-known Rademacher-Menchov theorem.
Cite
@article{arxiv.1210.5835,
title = {A Rademacher-Menchov approach for random coefficient bifurcating autoregressive processes},
author = {Bernard Bercu and Vassili Blandin},
journal= {arXiv preprint arXiv:1210.5835},
year = {2012}
}
Comments
arXiv admin note: text overlap with arXiv:1204.2926