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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Main Authors: Rohan Mishra, Rajesh Singh
Format: Article
Language:English
Published: REA Press 2024-03-01
Series:Big Data and Computing Visions
Subjects:
Online Access:https://www.bidacv.com/article_194519_8a0223e86cc1c735ec7f2f0e77b8414f.pdf
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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).
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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