Work

Approximation of Finite Population Totals Using Lagrange Polynomial

Year: 2017

Type: article

Abstract: Approximation of finite population totals in the presence of auxiliary information is considered. A polynomial based on Lagrange polynomial is proposed. Like the local polynomial regression, Horvitz Thompson and ratio estimators, this approximation technique is based on annual population total in order to fit in the best approximating polynomial within a given period of time (years) in this study. This proposed technique has shown to be unbiased under a linear polynomial. The use of real data indicated that the polynomial is efficient and can approximate properly even when the data is unevenly spaced.

Source: Open Journal of Statistics

DOI: 10.4236/ojs.2017.74048

Authors: Lamin Kabareh, Thomas Mageto, Benjamin Muema

Institutions: Pan African University Institute for Basic Sciences, Technology and Innovation, Jomo Kenyatta University of Agriculture and Technology

Language: English

Topic: Survey Sampling and Estimation Techniques

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W2747364982

FWCI: 0.186

Cites: 20

Cited by: 3

Related to: 10