A regression approach for estimating the center of symmetry
Fushing Hsieh
Statistics & Probability Letters, 1995, vol. 22, issue 2, 157-160
Abstract:
The center of symmetry of a distribution function is estimated by a convenient generalized least squares (GLS) estimator, which is constructed from a regression setup based on the strong approximation of the empirical quantile process. This GLS estimator is shown to be semiparametric efficient in the sense of achieving the Fisher information bound. As a by-product, a [chi]2 test for the symmetry assumption is also derived.
Keywords: Chi-square; test; Generalized; least; squares; estimator; Empirical; quantile; process (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:22:y:1995:i:2:p:157-160
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