%0 Journal Article
%T Least Product Relative Error Estimation for Partially Linear Multiplicative Model with Monotonic Constraint
%A Jun Sun
%A Mingtao Zhao
%J Open Journal of Statistics
%P 81-92
%@ 2161-7198
%D 2025
%I Scientific Research Publishing
%R 10.4236/ojs.2025.151006
%X 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.
%K Partially Linear Multiplicative Model
%K Monotonic Constraint
%K Least Product Relative Error
%K B-Spline
%K Asymptotic Property
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140771