Wang, Bingzhang Parameter estimation of Cauchy distribution. (Chinese. English summary) Zbl 1474.62075 Math. Pract. Theory 51, No. 1, 258-264 (2021). Summary: The problem of estimating parameters of Cauchy distribution is investigated. The least absolute deviation estimator of location parameter and lower-order moment estimator of scale parameter are obtained. The least absolute deviation estimator of location parameter is proved to be asymptotically unbiased and strongly consistent. The lower-order moment estimator of scale parameter is proved to be strongly consistent. MSC: 62F12 Asymptotic properties of parametric estimators 62F10 Point estimation Keywords:least absolute deviation estimator; lower-order moment estimator; strong consistency PDFBibTeX XMLCite \textit{B. Wang}, Math. Pract. Theory 51, No. 1, 258--264 (2021; Zbl 1474.62075)