An improved class of estimators of finite population mean in simple random sampling using an auxiliary attribute

Abdul Haq; Javid Shabbir

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An improved class of estimators of finite population mean in simple random sampling using an auxiliary attribute

机译：使用辅助属性的简单随机采样，改进了有限群体的估计类别

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In this article, an improved class of estimators for estimating the finite population mean is proposed using supplementary information on an auxiliary attribute. The mathematical expressions for the bias and mean squared error of the proposed estimator are derived under the first order of the approximation using simple random sampling. An empirical study is conducted to investigate the performances of the proposed and the existing estimators. It turns out that the proposed estimator is considerably more efficient than the recent estimators suggested by Koyuncu and by Haq and Shabbir.

机译：在本文中，使用关于辅助属性的补充信息，提出了一种用于估计有限群体平均值的改进的估计类。建议估计器的偏置和均方误差的数学表达式在使用简单随机采样的近似的第一阶下导出。进行了实证研究以调查提议和现有估算的表现。事实证明，建议的估计者比Koyuncu和Haq和Shabbir所建议的最近估计者更有效。

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《Journal of statistical theory and practice》 |2018年第2期|共8页
作者
Abdul Haq; Javid Shabbir;
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作者单位

Department of StatisticsQuaid-i-Azam University44000IslamabadPakistan;

Department of StatisticsQuaid-i-Azam University44000IslamabadPakistan;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Auxiliary attribute; bias; mean squared error; percentage relative efficiency; ratio estimator; 62D05;

机译：辅助属性;偏见;均方误差;相对效率的百分比;比率估计器;62d05;

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专利

1. An improved class of estimators of finite population mean in simple random sampling using an auxiliary attribute [J] . Abdul Haq, Javid Shabbir Journal of statistical theory and practice . 2018,第1a2期

机译：使用辅助属性的简单随机采样，改进了有限群体的估计类别
2. Distribution Effect on the Efficiency of Some Classes of Population Variance Estimators Using Information of an Auxiliary Variable Under Simple Random Sampling [J] . Etaga Harrison Oghenekevwe, Etaga Cecilia Njideka, Osuoha Chizoba Sylvia Science Journal of Applied Mathematics and Statistics . 2020,第1期

机译：在简单随机采样下使用辅助变量信息的分布对某些类别级别估算器的效率
3. A class of almost unbiased estimators of population mean using auxiliary variable and auxiliary attribute in systematic sampling [J] . Zaheen Khan Journal of statistical theory and practice . 2018,第1a2期

机译：在系统采样中使用辅助变量和辅助属性，一类几乎没有偏见的人口估计值
4. A Class of Estimators of Finite Population Variance in Simple Random Sampling [C] . Nursel Koyuncu International Conference on Numerical Analysis and Applied Mathematics . 2015

机译：简单随机抽样中有限人口方差的一类估算
5. STATISTICAL INFERENCE IN FINITE POPULATION SAMPLING WHEN AUXILIARY INFORMATION IS AVAILABLE [D] . DENG, LIH-YUAN. 1984

机译：提供辅助信息时有限人口抽样中的统计推断
6. Finite population distribution function estimation with dual use of auxiliary information under simple and stratified random sampling [O] . Sardar Hussain, Sohaib Ahmad, Mariyam Saleem, 2020

机译：有限人口分布函数估计简单和分层随机抽样下的双重使用辅助信息
7. Ratio Estimators in Simple Random Sampling Using Information on Auxiliary Attribute [O] . Rajesh Singh, Pankaj Chauhan, Nirmala Sawan, 2012

机译：基于辅助属性信息的简单随机抽样中的比率估计

An improved class of estimators of finite population mean in simple random sampling using an auxiliary attribute

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