On some new exponential ratio estimator of population mean in two phase sampling

In this paper, we suggest employing the exponential ratio estimator to estimate the mean of the study variable using a two-phase sample strategy with two modified auxiliary variables. Several researchers discussed the properties of the estimators they proposed and discovered that the estimators in t...

Full description

Bibliographic Details
Main Authors: Hassan, Yasir, Farooq, Muhammad, Yasir, Saleha, Murray, Will
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2023
Online Access:http://journalarticle.ukm.my/22601/
http://journalarticle.ukm.my/22601/1/STT%2020.pdf
_version_ 1848815639807918080
author Hassan, Yasir
Farooq, Muhammad
Yasir, Saleha
Murray, Will
author_facet Hassan, Yasir
Farooq, Muhammad
Yasir, Saleha
Murray, Will
author_sort Hassan, Yasir
building UKM Institutional Repository
collection Online Access
description In this paper, we suggest employing the exponential ratio estimator to estimate the mean of the study variable using a two-phase sample strategy with two modified auxiliary variables. Several researchers discussed the properties of the estimators they proposed and discovered that the estimators in their studies were relatively efficient. The estimators previously studied are listed chronologically in the appendix to this paper. In two phase sampling, the estimator’s mean square errors and relative efficiencies are calculated using auxiliary variable information. To assess the properties of our proposed estimator, we noticed that it has a lower mean square error (MSE) than the classical ratio estimator and some other exponential ratio estimators. The estimator is more useful than other estimators in solving real-world issues, notably in engineering, environmental science, management, and biological sciences. The proposed estimator has been applied to real-world data sets such as BRICS, Son’s Head Measurement, Number of Hospital Beds, Sale Price of Residence, Ambient Pressure (AP), and Heating Load. In survey research, our suggested estimator has also been demonstrated to be more effective.
first_indexed 2025-11-15T00:53:11Z
format Article
id oai:generic.eprints.org:22601
institution Universiti Kebangasaan Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T00:53:11Z
publishDate 2023
publisher Penerbit Universiti Kebangsaan Malaysia
recordtype eprints
repository_type Digital Repository
spelling oai:generic.eprints.org:226012023-11-24T03:30:37Z http://journalarticle.ukm.my/22601/ On some new exponential ratio estimator of population mean in two phase sampling Hassan, Yasir Farooq, Muhammad Yasir, Saleha Murray, Will In this paper, we suggest employing the exponential ratio estimator to estimate the mean of the study variable using a two-phase sample strategy with two modified auxiliary variables. Several researchers discussed the properties of the estimators they proposed and discovered that the estimators in their studies were relatively efficient. The estimators previously studied are listed chronologically in the appendix to this paper. In two phase sampling, the estimator’s mean square errors and relative efficiencies are calculated using auxiliary variable information. To assess the properties of our proposed estimator, we noticed that it has a lower mean square error (MSE) than the classical ratio estimator and some other exponential ratio estimators. The estimator is more useful than other estimators in solving real-world issues, notably in engineering, environmental science, management, and biological sciences. The proposed estimator has been applied to real-world data sets such as BRICS, Son’s Head Measurement, Number of Hospital Beds, Sale Price of Residence, Ambient Pressure (AP), and Heating Load. In survey research, our suggested estimator has also been demonstrated to be more effective. Penerbit Universiti Kebangsaan Malaysia 2023 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/22601/1/STT%2020.pdf Hassan, Yasir and Farooq, Muhammad and Yasir, Saleha and Murray, Will (2023) On some new exponential ratio estimator of population mean in two phase sampling. Sains Malaysiana, 52 (7). pp. 2149-2162. ISSN 0126-6039 https://www.ukm.my/jsm/
spellingShingle Hassan, Yasir
Farooq, Muhammad
Yasir, Saleha
Murray, Will
On some new exponential ratio estimator of population mean in two phase sampling
title On some new exponential ratio estimator of population mean in two phase sampling
title_full On some new exponential ratio estimator of population mean in two phase sampling
title_fullStr On some new exponential ratio estimator of population mean in two phase sampling
title_full_unstemmed On some new exponential ratio estimator of population mean in two phase sampling
title_short On some new exponential ratio estimator of population mean in two phase sampling
title_sort on some new exponential ratio estimator of population mean in two phase sampling
url http://journalarticle.ukm.my/22601/
http://journalarticle.ukm.my/22601/
http://journalarticle.ukm.my/22601/1/STT%2020.pdf