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In data-driven learning and inference tasks, the high cost of acquiring samples from the target distribution often limits performance. A common strategy to mitigate this challenge is to augment the limited target samples with data from a…

Statistics Theory · Mathematics 2025-02-06 Barron Han , Danil Akhtiamov , Reza Ghane , Babak Hassibi

Tracy et al.[8] have introduced a family of estimators using Srivenkataramana and Tracy ([6],[7]) transformation in simple random sampling. In this article, we have proposed a dual to ratio-cum-product estimator in stratified random…

Methodology · Statistics 2013-04-03 Rajesh Singh , Mukesh Kumar , Manoj K. Chaudhary , Cem Kadilar

A new approach of obtaining stratified random samples from statistically dependent random variables is described. The proposed method can be used to obtain samples from the input space of a computer forward model in estimating expectations…

Methodology · Statistics 2019-11-25 Anirban Mondal , Abhijit Mandal

In this paper we have proposed an almost unbiased estimator using known value of some population parameter(s). A class of estimators is defined which includes Singh and Solanki [1] and Sahai and Ray [2], Sisodia and Dwivedi [3], Singh et.…

Applications · Statistics 2014-05-19 Rajesh Singh , S. B. Gupta , Sachin Malik

In this paper exponential ratio and exponential product type estimators using two auxiliary variables are proposed for estimating unknown population variance $S_y^2$. Problem is extended to the case of two-phase sampling. Theoretical…

General Mathematics · Mathematics 2009-02-03 Rajesh Singh , Pankaj Chauhan , Nirmala Sawan , Florentin Smarandache

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

Bagging can significantly improve the generalization performance of unstable machine learning algorithms such as trees or neural networks. Though bagging is now widely used in practice and many empirical studies have explored its behavior,…

Machine Learning · Computer Science 2019-08-08 Martin Mihelich , Charles Dognin , Yan Shu , Michael Blot

A balanced sampling design should always be the adopted strategies if auxiliary information is available. Besides, integrating a stratified structure of the population in the sampling process can considerably reduce the variance of the…

Methodology · Statistics 2022-06-03 Raphaël Jauslin , Esther Eustache , Yves Tillé

Fine stratification is a popular design as it permits the stratification to be carried out to the fullest possible extent. Some examples include the Current Population Survey and National Crime Victimization Survey both conducted by the…

Methodology · Statistics 2026-03-09 Sepideh Mosaferi

We generalize the na\"ive estimator of a Poisson regression model with measurement errors as discussed in Kukush et al. [1]. The explanatory variable is not always normally distributed as they assume. In this study, we assume that the…

Statistics Theory · Mathematics 2022-05-12 Kentarou Wada , Takeshi Kurosawa

We consider the problem of mean estimation assuming only finite variance. We study a new class of mean estimators constructed by integrating over random noise applied to a soft-truncated empirical mean estimator. For appropriate choices of…

Statistics Theory · Mathematics 2019-06-26 Matthew J. Holland

Fine stratification survey is useful in many applications as its point estimator is unbiased, but the variance estimator under the design cannot be easily obtained, particularly when the sample size per stratum is as small as one unit. One…

Methodology · Statistics 2026-03-05 Sepideh Mosaferi , Shonosuke Sugasawa

Empirical Bayes estimators are based on minimizing the average risk with the hyper-parameters in the weighting function being estimated from observed data. The performance of an empirical Bayes estimator is typically evaluated by its mean…

Statistics Theory · Mathematics 2025-03-18 Yue Ju , Bo Wahlberg , Håkan Hjalmarsson

Model-assisted estimation with complex survey data is an important practical problem in survey sampling. When there are many auxiliary variables, selecting significant variables associated with the study variable would be necessary to…

Methodology · Statistics 2020-04-01 Shonosuke Sugasawa , Jae Kwang Kim

Generalised regression estimation allows one to make use of available auxiliary information in survey sampling. We develop three types of generalised regression estimator when the auxiliary data cannot be matched perfectly to the sample…

Methodology · Statistics 2020-05-20 Li-Chun Zhang

We propose small area estimators of general indicators in off-census years, which avoid the use of deprecated census microdata, but are nearly optimal in census years. The procedure is based on replacing the obsolete census file with a…

Methodology · Statistics 2025-11-20 William Acero , Isabel Molina , J. Miguel Marín

Small area estimators that ignore the sampling design lack design consistency when the sampling mechanism is complex and may be severely biased under informative designs. Existing procedures that account for the survey weights under…

Methodology · Statistics 2026-03-12 William Acero , Domingo Morales , Isabel Molina

In this paper, a shrinkage estimator for the population mean is proposed under known quadratic loss functions with unknown covariance matrices. The new estimator is non-parametric in the sense that it does not assume a specific parametric…

Methodology · Statistics 2014-11-07 Cheng Wang , Tiejun Tong , Longbing Cao , Baiqi Miao

Estimation of the allele frequency at genetic markers is a key ingredient in biological and biomedical research, such as studies of human genetic variation or of the genetic etiology of heritable traits. As genetic data becomes increasingly…

Applications · Statistics 2007-12-18 Marc Coram , Hua Tang

In this paper, a new modification of ranked set sampling (RSS) is suggested, namely; unified ranked set sampling (URSS) for estimating the population mean and variance. The performance of the empirical mean and variance estimators based on…

Methodology · Statistics 2015-10-07 Ehsan Zamanzade , Amer Ibrahim Al-Omari