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This paper deals with the problem of estimating the finite population mean when some information on two auxiliary attributes are available. It is shown that the proposed estimator is more efficient than the usual mean estimator and other…

Statistics Theory · Mathematics 2013-02-08 Sachin Malik , Rajesh Singh

In situations where the sampling units in a study can be more easily ranked based on the measurement of an auxiliary variable, ranked set sampling provide unbiased estimators for the mean of a population that they are more efficient than…

Statistics Theory · Mathematics 2014-05-13 Saeid Tahmasebi , Ali Akbar Jafari

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

Best linear unbiased prediction is well known for its wide range of applications including small area estimation. While the theory is well established for mixed linear models and under normality of the error and mixing distributions, the…

Statistics Theory · Mathematics 2007-06-13 Soumendra N. Lahiri , Tapabrata Maiti , Myron Katzoff , Van Parsons

We consider the problem of estimating the means $\mu_i$ of $n$ random variables $Y_i \sim N(\mu_i,1)$, $i=1,\ldots ,n$. Assuming some structure on the $\mu$ process, e.g., a state space model, one may use a summary statistics for the…

Statistics Theory · Mathematics 2014-06-05 E. Greenshtein , A. Mansura , Y. Ritov

Singh et al (20009) introduced a family of exponential ratio and product type estimators in stratified random sampling. Under stratified random sampling without replacement scheme, the expressions of bias and mean square error (MSE) of…

Statistics Theory · Mathematics 2014-04-11 Rajesh Singh , Prayas Sharma , Florentin Smarandache

We review the alternative proposals introduced recently in the literature to update the standard formula to estimate the uncertainty on the mean of repeated measurements, and we compare their performances on synthetic examples with normal…

Data Analysis, Statistics and Probability · Physics 2022-09-13 Pascal Pernot , Jean-Paul Berthet

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

In this paper, some of the properties of non-parametric estimation of the expectation of g(X) (any function of X), by using a Judgment Post-stratification Sample (JPS), are discussed. A class of estimators (including the standard JPS…

Methodology · Statistics 2013-11-20 Ali Dastbaravarde , Nasser Reza Arghami , Majid Sarmad

When the response mechanism is believed to be not missing at random (NMAR), a valid analysis requires stronger assumptions on the response mechanism than standard statistical methods would otherwise require. Semiparametric estimators have…

Methodology · Statistics 2020-05-08 Kosuke Morikawa , Jae Kwang Kim

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

We present large sample results for partitioning-based least squares nonparametric regression, a popular method for approximating conditional expectation functions in statistics, econometrics, and machine learning. First, we obtain a…

Statistics Theory · Mathematics 2020-07-20 Matias D. Cattaneo , Max H. Farrell , Yingjie Feng

This paper presents theoretical results on combining non-probability and probability survey samples through mass imputation, an approach originally proposed by Rivers (2007) as sample matching without rigorous theoretical justification.…

Methodology · Statistics 2020-11-24 Jae Kwang Kim , Seho Park , Yilin Chen , Changbao Wu

The term ``empirical predictor'' refers to a two-stage predictor of a linear combination of fixed and random effects. In the first stage, a predictor is obtained but it involves unknown parameters; thus, in the second stage, the unknown…

Statistics Theory · Mathematics 2007-06-13 Kalyan Das , Jiming Jiang , J. N. K. Rao

Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report…

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

Methodology · Statistics 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

A difficulty in MSE estimation occurs because we do not specify a full distribution for the survey weights. This obfuscates the use of fully parametric bootstrap procedures. To overcome this challenge, we develop a novel MSE estimator. We…

Methodology · Statistics 2022-10-25 Yanghyeon Cho , Emily Berg

The potential impact of non-sampling errors on election polls is well known, but measurement has focused on the margin of sampling error. Survey statisticians have long recommended measurement of total survey error by mean square error…

Econometrics · Economics 2024-11-01 Jeff Dominitz , Charles F. Manski

Estimation and inference on causal parameters is typically reduced to a generalized method of moments problem, which involves auxiliary functions that correspond to solutions to a regression or classification problem. Recent line of work on…

Econometrics · Economics 2022-11-16 Qizhao Chen , Vasilis Syrgkanis , Morgane Austern

In many surveys inexpensive auxiliary variables are available that can help us to make more precise estimation about the main variable. Using auxiliary variable has been extended by regression estimators for rare and cluster populations. In…

Statistics Theory · Mathematics 2018-03-14 Bardia Panahbehagh , Afshin Parvardeh , Babak Mohammadi