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...
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2023
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my-ukm.journal.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/ |
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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. |
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Article |
author |
Hassan, Yasir Farooq, Muhammad Yasir, Saleha Murray, Will |
spellingShingle |
Hassan, Yasir Farooq, Muhammad Yasir, Saleha Murray, Will On some new exponential ratio estimator of population mean in two phase sampling |
author_facet |
Hassan, Yasir Farooq, Muhammad Yasir, Saleha Murray, Will |
author_sort |
Hassan, Yasir |
title |
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_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_sort |
on some new exponential ratio estimator of population mean in two phase sampling |
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Penerbit Universiti Kebangsaan Malaysia |
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2023 |
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http://journalarticle.ukm.my/22601/1/STT%2020.pdf http://journalarticle.ukm.my/22601/ https://www.ukm.my/jsm/ |
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