Signed-rank analysis of a partial linear model with B-splines estimated monotone non parametric function

Eddy Kwessi and Brice M. Nguelifack

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 10, 4843-4854

Abstract: For a partially linear regression model, we propose a signed-rank estimation method. The proposed estimator for the linear unknown parameter vector is shown to have n$\sqrt{n}$-consistency, while monotone B-splines are used to estimate the unknown monotone non parametric function. Finite-sample simulations are carried out to evaluate the performance of the proposed estimation method, and a practical application on the study of air pollution data is given.

Date: 2017
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DOI: 10.1080/03610926.2015.1089289

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