Estimation of finite population distribution function with auxiliary information in a complex survey sampling
Abbas, Mohsin (Quaid-i-Azam University (Pakistan))
Haq, Abdul (Quaid-i-Azam University (Pakistan))

Date:	2022
Abstract:	In this paper, we consider the problem of estimating the finite population cumulative distribution function (CDF) in a complex survey sampling, which includes two-stage and three-stage cluster sampling schemes with and without stratification. We propose two new families of CDF estimators using supplementary information on a single auxiliary variable. Explicit mathematical expressions of the biases and mean squared errors of the proposed CDF estimators are developed under the frst order of the approximation. Real datasets are also considered to support the proposed theory.
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Ratio estimator ; Exponential ratio estimator ; Auxiliary information ; Stratification ; Two-stage and three-stage cluster sampling ; Relative efficiencies ; Bias ; Mean-squared error
Published in:	SORT : statistics and operations research transactions, Vol. 46 Núm. 1 (2022) , p. 67-94 (Articles) , ISSN 2013-8830

Adreça original: https://raco.cat/index.php/SORT/article/view/401135
DOI: 10.2436/20.8080.02.118

28 p, 938.7 KB

The record appears in these collections:
Articles > Published articles > SORT
Articles > Research articles