ScholarLens Back to search
2015•SOP Transactions on Statistics and AnalysisRequires access

Horvitz-Thomson Ratio Type Estimator in Estimating Population Mean

Sevil Bacanlı

Open publisher page 1 citations

Abstract

This study proposes Horvitz-Thompson ratio estimators for the population mean by using the ratio estimators based on regression estimator which is presented in Kadilar and Cingi [1]. Mean square error (MSE)of the proposed Horvitz-Thompson ratio type estimators are obtained and compared with ratio estimators which are presented by Bacanli and Kadilar [2]. The theoretical results are supported by a numerical illustration.The findings demonstrate that the proposed Horvitz-Thompson ratio estimators are more efficient than the estimators of Bacanli and Kadilar [2].

About this research paper

What this paper is about

This study proposes Horvitz-Thompson ratio estimators for the population mean by using the ratio estimators based on regression estimator which is presented in Kadilar and Cingi [1]. Mean square error (MSE)of the proposed Horvitz-Thompson ratio type estimators are obtained and compared with ratio estimators which are presented by Bacanli and Kadilar [2]. The theoretical results are supported by a numerical illustration.The findings demonstrate that the proposed Horvitz-Thompson ratio estimators are more efficient than the estimators of Bacanli and Kadilar [2].

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This study proposes Horvitz-Thompson ratio estimators for the population mean by using the ratio estimators based on regression estimator which is presented in Kadilar and Cingi [1]. Mean square error (MSE)of the proposed Horvitz-Thompson ratio type estimators are obtained and compared with ratio estimators which are presented by Bacanli and Kadilar [2]. The theoretical results are supported by a numerical illustration.The findings demonstrate that the proposed Horvitz-Thompson ratio estimators are more efficient than the estimators of Bacanli and Kadilar [2].

Key concepts: Statistics, Estimator, Mathematics, Ratio estimator, Population, Population mean, Bias of an estimator, Minimum-variance unbiased estimator

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Horvitz-Thomson Ratio Type Estimator in Estimating Population Mean — Research Paper | ScholarLens