Work

The problem of generalized estimation methods of population distribution functions with auxiliary information: The international trade and radiation measurements

Year: 2025

Type: article

Abstract: The precise computation of population distribution function is essential in numerous scientific and environmental research especially where there is high variability of data or uncertainty of measurements. This paper suggests new generalized class of estimators for the population distribution function that magnificently utilizes the auxiliary information to enhance accuracy and efficiency. As compared to other traditional estimators which use only primary survey information, the proposed work uses auxiliary information that are correlated to the study variable in order to minimize bias and mean squared error (MSE). The generalized classes of estimators are constructed in the same framework which includes multiple popular distribution function estimators as special cases. Analytic forms of the bias and MSE have been obtained to the first order of approximation and efficiency comparisons have been made in order to bring out the performance improvements that arise under different sampling conditions. To illustrate useful application, the approach is used on radiation data, a field where it is crucial to have a reliable estimation of population distribution function to assess the risks of health and environment monitoring. As the numerical findings indicate, the suggested estimators are better than traditional counterparts in precision and strength especially when the auxiliary information is significantly correlated with the variable of interest. In general, this work offers an effective and adaptable model of distribution functions estimation with the help of auxiliary information. The proposed class of estimators provides effective benefits as compared to adopted existing estimators.

Source: Journal of Radiation Research and Applied Sciences

DOI: 10.1016/j.jrras.2025.102107

Authors: Xiaowu Zhang, Hisham M. Almongy, Norah D. Alshahrani, Mohammed Elgarhy

Institutions: Hebei Institute of International Business and Economics, Imam Mohammad ibn Saud Islamic University, University of Bisha, Biruni University

Language: English

Topic: Survey Sampling and Estimation Techniques

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,400

Funders: Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University, Imam Mohammed Ibn Saud Islamic University