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Du, J., Sun, Z. and Xie, T. (2013) Estimation for the Partially Linear Regression Model under Monotonic Constraints. Statistics & Probability Letters, 83, 1353-1363.
https://doi.org/10.1016/j.spl.2013.01.006

has been cited by the following article:

• TITLE: Least Product Relative Error Estimation for Partially Linear Multiplicative Model with Monotonic Constraint

  AUTHORS: Jun Sun, Mingtao Zhao

  KEYWORDS: Partially Linear Multiplicative Model, Monotonic Constraint, Least Product Relative Error, B-Spline, Asymptotic Property

  JOURNAL NAME: Open Journal of Statistics, Vol.15 No.1, February 24, 2025

  ABSTRACT: We consider the partially linear multiplicative model with monotonic constraint for the analysis of positive response data. We propose a constrained least product relative error (LPRE) estimation procedure for the model by means of B-spline basis expansion. We have also established asymptotic properties of the proposed estimators under regularity conditions. We finally provide numerical simulations and a real data application to assess the finite sample performance of the developed methodology.