Estimating the mean under strong persistence

C-Tier
Journal: Economics Letters
Year: 2020
Volume: 188
Issue: C

Score contribution per author:

0.503 = (α=2.01 / 2 authors) × 0.5x C-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

We study a maximum likelihood [ML] type estimator for the mean of strongly persistent processes. Its limiting Gaussian distribution is obtained and compared with that of the arithmetic sample mean. The rates of convergence turn out to be equal. Two special cases of strong persistence are discussed: Fractional integration [FI] and harmonic weighting [HW]. Notwithstanding equal rates, efficiency gains relative to the arithmetic mean are available under FI, while for HW processes the relative efficiency turns out to be one asymptotically. For applied work, where the true model is not known, we suggest to use the estimator building on HW as a general purpose device, since it does not require the estimation of any parameter.

Technical Details

RePEc Handle
repec:eee:ecolet:v:188:y:2020:i:c:s0165176520300069
Journal Field
General
Author Count
2
Added to Database
2026-01-25