In survey sampling, information on auxiliary variables related to the main variable is often available in many practical problems. Since the mid-twentieth century, researchers have taken a keen interest in the use of auxiliary information due to its usefulness in estimation methods. The current study presents two new estimators for the distribution function of a finite population based on dual auxiliary variables. The new estimators can be used in situations where the researchers face some sort of complex data set. The mathematical equations for the bias and mean square error have been obtained for each proposed estimator. Besides, an empirical study simulation study has also been conducted to analyse the performance of estimators. It is found that the new suggested estimators of the distribution function of a finite population are more accurate than some of the existing estimators.
Download full-text PDF |
Source |
---|---|
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10450482 | PMC |
http://dx.doi.org/10.1177/00368504221128486 | DOI Listing |
PLoS One
January 2025
Biology Department, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia.
This study presents a novel approach to modeling breast cancer dynamics, one of the most significant health threats to women worldwide. Utilizing a piecewise mathematical framework, we incorporate both deterministic and stochastic elements of cancer progression. The model is divided into three distinct phases: (1) initial growth, characterized by a constant-order Caputo proportional operator (CPC), (2) intermediate growth, modeled by a variable-order CPC, and (3) advanced stages, capturing stochastic fluctuations in cancer cell populations using a stochastic operator.
View Article and Find Full Text PDFAnn Biomed Eng
January 2025
Department of Biomedical Engineering, Schulich School of Engineering, University of Calgary, CCIT216, 2500 University Drive NW, Calgary, AB, T2N 1N4, Canada.
Purpose: Simulation studies, such as finite element (FE) modeling, offer insights into knee joint biomechanics, which may not be achieved through experimental methods without direct involvement of patients. While generic FE models have been used to predict tissue biomechanics, they overlook variations in population-specific geometry, loading, and material properties. In contrast, subject-specific models account for these factors, delivering enhanced predictive precision but requiring significant effort and time for development.
View Article and Find Full Text PDFProc Inst Mech Eng H
January 2025
Department of Medical Sciences & Technology, IIT Madras, Chennai, Tamil Nadu, India.
The use of ultrasound contrast agents (UCAs) for estimating portal pressure has recently gained attention due to its clinical promise, yet variability in acoustic amplitude poses challenges. UCAs contain microbubbles (1-10 µm in diameter), and understanding their acoustic response is essential to address this variability. However, systematic exploration of factors influencing microbubble behavior remains limited in current literature.
View Article and Find Full Text PDFExp Appl Acarol
January 2025
College of Plant Protection, Shandong Agricultural University, Tai'an, 271018, China.
The citrus red mite (CRM), Panonychus citri (McGregor) (Acari: Tetranychidae), a worldwide pest chiefly infesting Citrus plants, has spread from Southern China to Northern China. Little information is known about the population performance of CRM on the plants except for citrus trees and pear trees. In order to evaluate the extent of damage might caused by CRM to the fruit trees cultivated in Northern China, the performance of CRM on four Rosaceae species, including three main fruit tree species (pear-Pyrus pyrifolia Nakai cv.
View Article and Find Full Text PDFJ Econ Entomol
January 2025
State Key Laboratory for Biology of Plant Diseases and Insect Pests, Institute of Plant Protection, Chinese Academy of Agricultural Sciences, Beijing, China.
Grapholita molesta (Busck) (Lepidoptera: Tortricidae) is a major pest of many fruit trees. The large-scale artificial propagation technology of the insect is the basis for the field application of the sterile insect technique and biological control products based on host mass reproduction. However, a low-cost diet with easily accessible materials remains lacking.
View Article and Find Full Text PDFEnter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!