An Efficient Ratio-Cum-Exponential Estimator for Estimating the Population Distribution Function in the Existence of Non-Response Using an SRS Design-Reference-Cited by-同舟云学术

An Efficient Ratio-Cum-Exponential Estimator for Estimating the Population Distribution Function in the Existence of Non-Response Using an SRS Design

Published:2023-03-08 Issue:6 Volume:11 Page:1312
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Khalid Ayesha¹^ORCID,Sanaullah Aamir¹^ORCID,Almazah Mohammed M. A.²³^ORCID,Al-Duais Fuad S.⁴⁵^ORCID

Affiliation:

1. Department of Statistics, COMSATS University Islamabad, Lahore Campus, Islamabad 45550, Pakistan

2. Department of Mathematics, College of Science and Arts (Muhyil), King Khalid University, Muhyil 61421, Saudi Arabia

3. Department of Mathematics and Computer, College of Sciences, Ibb University, Ibb 70270, Yemen

4. Mathematics Department, College of Humanities and Science, Prince Sattam Bin Abudulaziz University, Al Aflaj 16278, Saudia Arabia

5. Administrative Department, Administrative Science College, Thamar University, Thamar 87246, Yemen

Abstract

To gain insight into various phenomena of interest, cumulative distribution functions (CDFs) can be used to analyze survey data. The purpose of this study was to present an efficient ratiocum-exponential estimator for estimating a population CDF using auxiliary information under two scenarios of non-response. Up to first-order approximation, expressions for the bias and mean squared error (MSE) were derived. The proposed estimator was compared theoretically and empirically, with the modified estimators. The proposed estimator was found to be better than the modified estimators based on present-relative efficiency PRE and MSE criteria under the specific conditions.

Funder

the Deanship of Scientific Research at King Khalid University, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1312/pdf

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