Finite population distribution function estimation with dual use of auxiliary information under simple and stratified random sampling

The main purpose of this paper is to propose two new estimators for estimating the finite population distribution function under simple and stratified random sampling schemes using supplementary information on the distribution function, mean and ranks of the auxiliary variable. The mathematical expr...

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Bibliographic Details
Published in:PloS one 2020-09, Vol.15 (9), p.e0239098-e0239098
Main Authors: Hussain, Sardar, Ahmad, Sohaib, Saleem, Mariyam, Akhtar, Sohail
Format: Article
Language:English
Subjects:
Biology and Life Sciences
Estimation theory
Mathematical research
Methods
People and Places
Physical Sciences
Probability distributions
Sampling (Statistics)
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Summary:The main purpose of this paper is to propose two new estimators for estimating the finite population distribution function under simple and stratified random sampling schemes using supplementary information on the distribution function, mean and ranks of the auxiliary variable. The mathematical expressions for the bias and mean squared error of the proposed estimators are derived under the first order of approximation. The theoretical and empirical studies showed that the proposed estimators uniformly perform better than the existing estimators in terms of the percentage relative efficiency.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0239098