<p>An estimator of the general class ratio, exponential, product type, was suggested to estimate the population mean <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41096_2025_245_Article_IEq1.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="27" /> </InlineMediaObject> <EquationSource Format="TEX">\((\overline{Y })\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mover> <mi>Y</mi> <mo>¯</mo> </mover> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> utilizing two auxiliary variables, given that the parameters of the population of the auxiliary variables under consideration have been identified. The bias and mean squared error (MSE) are derived up to the first order of approximation. The suggested estimator is then compared with the competing estimators of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41096_2025_245_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\overline{Y }\)</EquationSource> <EquationSource Format="MATHML"><math> <mover> <mi>Y</mi> <mo>¯</mo> </mover> </math></EquationSource> </InlineEquation>. One real data set and a simulation study are done to compare the efficiencies of various estimators. The study concludes that the proposed estimator outperforms the traditional mean estimator, standard ratio estimator, and many estimators suggested from time to time by various authors.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Generalized Family of Estimators for Population Mean Using Information on Two Auxiliary Variables: A Real and Simulation Data Applications

  • Housila P. Singh,
  • Dinesh K. Sharma,
  • Mehdi Ali,
  • Shakti Kumar,
  • Subhash Kumar Yadav

摘要

An estimator of the general class ratio, exponential, product type, was suggested to estimate the population mean \((\overline{Y })\) ( Y ¯ ) utilizing two auxiliary variables, given that the parameters of the population of the auxiliary variables under consideration have been identified. The bias and mean squared error (MSE) are derived up to the first order of approximation. The suggested estimator is then compared with the competing estimators of \(\overline{Y }\) Y ¯ . One real data set and a simulation study are done to compare the efficiencies of various estimators. The study concludes that the proposed estimator outperforms the traditional mean estimator, standard ratio estimator, and many estimators suggested from time to time by various authors.