On Combining Ratio and Product Type Estimators For Estimation of Finite Population Mean In Adaptive Cluster Sampling Design

This article introduces a novel class of estimators and several new novel member estimators, combining the ratio and product forms, within the framework of Adaptive Cluster Sampling (ACS) design for estimating finite population mean. Specifically designed for rare or hidden clustered populations, th...

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Detalles Bibliográficos
Autores: Mishra, Rohan, Singh, Rajesh, Raghav, Yashpal Singh
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:Brasil
Institución:Universidade Federal de Lavras (UFLA)
Repositorio:Brazilian Journal of Biometrics
Idioma:inglés
OAI Identifier:oai:biometria.ufla.br:article/725
Acceso en línea:https://biometria.ufla.br/index.php/BBJ/article/view/725
Access Level:acceso abierto
Palabra clave:Adaptive cluster sampling
Sampling
Adaptive design
Ratio-cum-product
Class of estimators
Adaptative cluster sampling
Descripción
Sumario:This article introduces a novel class of estimators and several new novel member estimators, combining the ratio and product forms, within the framework of Adaptive Cluster Sampling (ACS) design for estimating finite population mean. Specifically designed for rare or hidden clustered populations, the new novel estimators developed from the proposed class offer enhanced efficiency in estimation. To study the proposed class comprehensively, we derive expressions for the bias and Mean Squared Error (MSE) up to the first order of approximation. Through comprehensive simulation studies, we demonstrate the superior efficiency of the new developed estimators over several existing alternatives considered in this study.