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In this article we have suggested an improved estimator for estimating the population mean in simple random sampling using auxiliary information under the presence of measurement errors. The mean square error (MSE) of the proposed estimator…

Applications · Statistics 2013-12-05 Sachin Malik , Jayant Singh , Rajesh Singh

Singh and Kumar (2011) suggested estimators for calculating population variance using auxiliary attributes. This paper proposes a family of estimators based on an adaptation of the estimators presented by Kadilar and Cingi (2004) and Singh…

Statistics Theory · Mathematics 2014-03-04 Rajesh Singh , Sachin Malik

The present paper presents the detail discussion on estimation of population mean in simple random sampling in the presence of non-response. Motivated by Gupta and Shabbir (2008), we have suggested the class of estimators of population mean…

Statistics Theory · Mathematics 2014-05-15 Manoj Kr. Chaudhary , Anil Prajapati , Rajesh Singh , Florentin Smarandache

Modern statistical analysis often encounters high-dimensional problems but with a limited sample size. It poses great challenges to traditional statistical estimation methods. In this work, we adopt auxiliary learning to solve the…

Statistics Theory · Mathematics 2025-01-08 Hanchao Yan , Feifei Wang , Chuanxin Xia , Hansheng Wang

In this paper we have suggested two classes of estimators for population median M_Y of the study character Y using information on two auxiliary characters X and Z in double sampling. It has been shown that the suggested classes of…

Probability · Mathematics 2007-05-23 Jack Allen , Housila P. Singh , Sarjinder Singh , Florentin Smarandache

Respondent-driven sampling is a widely-used network sampling technique, designed to sample from hard-to-reach populations. Estimation from the resulting samples is an area of active research, with software available to compute at least four…

Applications · Statistics 2010-12-21 Amber Tomas , Krista J. Gile

Imputation models sometimes use auxiliary variables that, though not part of the planned analysis, can improve the accuracy of imputed values and the efficiency of point estimates. A recent article, using evidence from simulations, argued…

Methodology · Statistics 2013-11-22 Paul von Hippel , Jamie Lynch

An additive model-assisted nonparametric method is investigated to estimate the finite population totals of massive survey data with the aid of auxiliary information. A class of estimators is proposed to improve the precision of the well…

Methodology · Statistics 2019-03-19 Li Wang , Suojin Wang

In this paper we have adapted Bahl and Tuteja (1991) estimator in systematic sampling using auxiliary information. Using Bedi (1996) transformation an improved estimator is also proposed under systematic sampling. The expressions of bias…

Applications · Statistics 2013-07-22 Rajesh Singh , Sachin Malik , Viplav K. Singh

Auxiliary variable is extensively used in survey sampling to improve the precision of estimates. Whenever there is availability of auxiliary information, we want to utilize it in the method of estimation to obtain the most efficient…

Applications · Statistics 2014-10-14 Rajesh Singh , Prayas Sharma

In this paper, a procedure is given for estimating the population mean in simple random sampling without replacement in the presence of auxiliary information. The mean squared error expressions of the proposed estimators have been derived…

Statistics Theory · Mathematics 2013-08-28 Rajesh Singh , Mukesh Kumar , Manoj K. Chaudhary

This paper considers the problem of estimating the population mean using information on auxiliary variable in presence of non response. Exponential ratio and exponential product type estimators have been suggested and their properties are…

General Mathematics · Mathematics 2009-06-16 Rajesh Singh , Mukesh Kumar , Manoj K. Chaudhary , Florentin Smarandache

We present a new method in problems where estimates are needed for finite population domains with small or even zero sample sizes. In contrast to known estimation methods, an auxiliary information is used to model sizes of population units…

Statistics Theory · Mathematics 2014-06-23 Andrius Čiginas , Tomas Rudys

Despite empirical risk minimization (ERM) is widely applied in the machine learning community, its performance is limited on data with spurious correlation or subpopulation that is introduced by hidden attributes. Existing literature…

Machine Learning · Computer Science 2024-12-18 Hongyu Shen , Zhizhen Zhao

In surveys, the interest lies in estimating finite population parameters such as population totals and means. In most surveys, some auxiliary information is available at the estimation stage. This information may be incorporated in the…

Methodology · Statistics 2022-08-23 Mehdi Dagdoug , Camelia Goga , David Haziza

This paper suggests a generalized class of estimators for population mean of the qualitative study variable in simple random sampling using information on an auxiliary variable. Asymptotic expressions of bias and mean square error of the…

Statistics Theory · Mathematics 2014-09-18 Prayas Sharma , Hemant K. Verma , Rajesh Singh

Random sampling is an essential tool in the processing and transmission of data. It is used to summarize data too large to store or manipulate and meet resource constraints on bandwidth or battery power. Estimators that are applied to the…

Databases · Computer Science 2015-03-19 Edith Cohen , Haim Kaplan

Data subsampling has become widely recognized as a tool to overcome computational and economic bottlenecks in analyzing massive datasets. We contribute to the development of adaptive design for estimation of finite population…

Methodology · Statistics 2024-07-08 Henrik Imberg , Xiaomi Yang , Carol Flannagan , Jonas Bärgman

Estimation of the population total of a variable can be improved by calibration on a set of auxiliary variables. It is difficult to establish that such a set of variables is sufficient, that estimation could not be improved by calibration…

Applications · Statistics 2026-03-02 Nicholas T. Longford

In this paper we have proposed a median based estimator using known value of some population parameter(s) in simple random sampling. Various existing estimators are shown particular members of the proposed estimator. The bias and mean…

Statistics Theory · Mathematics 2014-08-15 Hemant K. Verma , Rajesh Singh , Florentin Smarandache