Improved ratio type generalized class of estimators in two phase adaptive cluster sampling
In this paper, an improved ratio type class of estimators in the two phase Adaptive Cluster Sampling (ACS) design under the transformed population approach has been proposed. The generalized expressions of Bias and Mean Squared Error (MSE) have been obtained up to the first order of approximation. N...
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REA Press
2024-03-01
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Series: | Big Data and Computing Visions |
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author | Rohan Mishra Rajesh Singh |
author_facet | Rohan Mishra Rajesh Singh |
author_sort | Rohan Mishra |
collection | DOAJ |
description | In this paper, an improved ratio type class of estimators in the two phase Adaptive Cluster Sampling (ACS) design under the transformed population approach has been proposed. The generalized expressions of Bias and Mean Squared Error (MSE) have been obtained up to the first order of approximation. New member estimators are developed from the proposed class and their performance against competing existing estimators are evaluated using various empirical studies. The novelty of this design and the new estimators developed therein are further demonstrated using a real data study where the new developed estimators are used to estimate the average number of thorny plants in plateaus of Western Ghats of Sahyadri from Goa to Varandha Ghat (Bhor, Maharashtra, India). |
format | Article |
id | doaj-art-d1f692405984496c927033c709082fd2 |
institution | Kabale University |
issn | 2783-4956 2821-014X |
language | English |
publishDate | 2024-03-01 |
publisher | REA Press |
record_format | Article |
series | Big Data and Computing Visions |
spelling | doaj-art-d1f692405984496c927033c709082fd22025-01-30T12:23:16ZengREA PressBig Data and Computing Visions2783-49562821-014X2024-03-0141495610.22105/bdcv.2024.453091.1179194519Improved ratio type generalized class of estimators in two phase adaptive cluster samplingRohan Mishra0Rajesh Singh1Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi, India.Department of Statistics, Institute of Science, Banaras Hindu University, Varanasi, India.In this paper, an improved ratio type class of estimators in the two phase Adaptive Cluster Sampling (ACS) design under the transformed population approach has been proposed. The generalized expressions of Bias and Mean Squared Error (MSE) have been obtained up to the first order of approximation. New member estimators are developed from the proposed class and their performance against competing existing estimators are evaluated using various empirical studies. The novelty of this design and the new estimators developed therein are further demonstrated using a real data study where the new developed estimators are used to estimate the average number of thorny plants in plateaus of Western Ghats of Sahyadri from Goa to Varandha Ghat (Bhor, Maharashtra, India).https://www.bidacv.com/article_194519_8a0223e86cc1c735ec7f2f0e77b8414f.pdfadaptive cluster double samplingtwo phase adaptive cluster samplingtransformed population approachregression type estimatorsratio estimators |
spellingShingle | Rohan Mishra Rajesh Singh Improved ratio type generalized class of estimators in two phase adaptive cluster sampling Big Data and Computing Visions adaptive cluster double sampling two phase adaptive cluster sampling transformed population approach regression type estimators ratio estimators |
title | Improved ratio type generalized class of estimators in two phase adaptive cluster sampling |
title_full | Improved ratio type generalized class of estimators in two phase adaptive cluster sampling |
title_fullStr | Improved ratio type generalized class of estimators in two phase adaptive cluster sampling |
title_full_unstemmed | Improved ratio type generalized class of estimators in two phase adaptive cluster sampling |
title_short | Improved ratio type generalized class of estimators in two phase adaptive cluster sampling |
title_sort | improved ratio type generalized class of estimators in two phase adaptive cluster sampling |
topic | adaptive cluster double sampling two phase adaptive cluster sampling transformed population approach regression type estimators ratio estimators |
url | https://www.bidacv.com/article_194519_8a0223e86cc1c735ec7f2f0e77b8414f.pdf |
work_keys_str_mv | AT rohanmishra improvedratiotypegeneralizedclassofestimatorsintwophaseadaptiveclustersampling AT rajeshsingh improvedratiotypegeneralizedclassofestimatorsintwophaseadaptiveclustersampling |