A note on weak law of large numbers for weighted sums of negatively associated random variables and an application
Year: 2025
Type: article
Abstract: This paper establishes novel theoretical results concerning weighted sums of negatively associated random variables, specifically demonstrating both the weak law of large numbers and its corresponding convergence rate. The research findings are subsequently applied to derive complete characterizations (both sufficient and necessary conditions) for the weak consistency property of least squares estimators in simple linear errors-in-variables (EV) regression frameworks. The obtained theorems not only fill certain gaps in existing literature but also provide enhanced versions of some previously known results in this field.
Authors: Qihui He, Qingsong Sun
Institution: Anhui Finance & Trade Vocational College
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,190
OpenAlex ID: W4414602173