On Estimation of Distribution Function Using Dual Auxiliary Information under Nonresponse Using Simple Random Sampling
Joint Authors
Akhtar, Sohail
Zichuan, Mi
Iftikhar, Anum
Hussain, Saddam
Hussain, Sardar
Ahmad, Sohaib
Asif, Muhammad
Source
Journal of Probability and Statistics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-26
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, we proposed two new families of estimators using the supplementary information on the auxiliary variable and exponential function for the population distribution functions in case of nonresponse under simple random sampling.
The estimations are done in two nonresponse scenarios.
These are nonresponse on study variable and nonresponse on both study and auxiliary variables.
As we have highlighted above that two new families of estimators are proposed, in the first family, the mean was used, while in the second family, ranks were used as auxiliary variables.
Expression of biases and mean squared error of the proposed and existing estimators are obtained up to the first order of approximation.
The performances of the proposed and existing estimators are compared theoretically.
On these theoretical comparisons, we demonstrate that the proposed families of estimators are better in performance than the existing estimators available in the literature, under the obtained conditions.
Furthermore, these theoretical findings are braced numerically by an empirical study offering the proposed relative efficiencies of the proposed families of estimators.
American Psychological Association (APA)
Hussain, Saddam& Zichuan, Mi& Hussain, Sardar& Iftikhar, Anum& Asif, Muhammad& Akhtar, Sohail…[et al.]. 2020. On Estimation of Distribution Function Using Dual Auxiliary Information under Nonresponse Using Simple Random Sampling. Journal of Probability and Statistics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1190166
Modern Language Association (MLA)
Hussain, Saddam…[et al.]. On Estimation of Distribution Function Using Dual Auxiliary Information under Nonresponse Using Simple Random Sampling. Journal of Probability and Statistics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1190166
American Medical Association (AMA)
Hussain, Saddam& Zichuan, Mi& Hussain, Sardar& Iftikhar, Anum& Asif, Muhammad& Akhtar, Sohail…[et al.]. On Estimation of Distribution Function Using Dual Auxiliary Information under Nonresponse Using Simple Random Sampling. Journal of Probability and Statistics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1190166
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190166