Open AccessFinite population distribution function estimation with dual use of auxiliary information under simple and stratified random sampling
Author(s) -
Sardar Hussain,
Sohaib Ahmad,
Mariyam Saleem,
Sohail Akhtar
Publication year - 2020
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0239098
Subject(s) - estimator , simple random sample , mathematics , stratified sampling , statistics , mean squared error , population mean , random variable , population , function (biology) , sampling (signal processing) , empirical distribution function , computer science , biology , sociology , demography , filter (signal processing) , evolutionary biology , computer vision
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.