Author(s)

Jun Sun, Mingtao Zhao

School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China.

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.

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

Sun, J. and Zhao, M. (2025) Least Product Relative Error Estimation for Partially Linear Multiplicative Model with Monotonic Constraint. Open Journal of Statistics, 15, 81-92. doi: 10.4236/ojs.2025.151006.