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Least Product Relative Error Estimation for Partially Linear Multiplicative Model with Monotonic Constraint
School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China
School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China
- 1 School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China
- 2 School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, China
Open Journal of Statistics·Volume 15 (2025)·Pages 81–92·Published 7 February 2025·DOI10.4236/ojs.2025.151006
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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.
KeywordsPartially Linear Multiplicative ModelMonotonic ConstraintLeast Product Relative ErrorB-SplineAsymptotic Property
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