An extended Babai method for estimating linear model based integer parameters

Xiao-Wen Chang, Zhilong Chen and Jinming Wen

Econometrics and Statistics, 2024, vol. 29, issue C, 238-251

Abstract: Estimating the integer parameter vector in a linear model with additive Gaussian noise is considered. First, Babai’s nearest plane method is extended to a more general estimation method in order to give a better estimator, and its computational cost is analyzed. Then, lower and upper bounds on the success probability of the extended Babai estimator are derived. Based on this theory, a specific (K,L) extended Babai estimation method is proposed, where K and L are two parameters. Numerical results confirm the theoretical findings and show the advantages of the (K,L) extended Babai method over an existing one.

Keywords: Linear model; Integer parameter estimation; Babai estimator; Success probability (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecosta:v:29:y:2024:i:c:p:238-251

DOI: 10.1016/j.ecosta.2022.01.008

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