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We develop a univariate, differentially private mean estimator, called the private modified winsorized mean, designed to be used as the aggregator in subsample-and-aggregate. We demonstrate, via real data analysis, that common…

Methodology · Statistics 2025-05-09 Kelly Ramsay , Dylan Spicker

In some clinical studies, researchers may report the five number summary (including the sample median, the first and third quartiles, and the minimum and maximum values) rather than the sample mean and standard deviation. To conduct…

Methodology · Statistics 2018-01-08 Jiandong Shi , Dehui Luo , Hong Weng , Xian-Tao Zeng , Lu Lin , Tiejun Tong

Sample surveys are widely used to obtain information about totals, means, medians, and other parameters of finite populations. In many applications, similar information is desired for subpopulations such as individuals in specific…

Methodology · Statistics 2017-05-30 Jiahua Chen , Yukun Liu

The MDR-EFE method of performing identification of relevant factors within a given collection X_1,...,X_n is developed for stratified samples in the case of binary response variable Y. We establish a criterion of strong consistency of…

Statistics Theory · Mathematics 2016-06-23 Alexander Bulinski , Alexey Kozhevin

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…

In this paper, we have proposed a new Ratio Type Estimator using auxiliary information on two auxiliary variables based on Simple random sampling without replacement (SRSWOR). The proposed estimator is found to be more efficient than the…

Statistics Theory · Mathematics 2014-02-18 Prayas Sharma , Rajesh Singh

Subsampling is a computationally efficient and scalable method to draw inference in large data settings based on a subset of the data rather than needing to consider the whole dataset. When employing subsampling techniques, a crucial…

Methodology · Statistics 2025-10-08 Amalan Mahendran , Helen Thompson , James M. McGree

This paper proposes a class of estimators for population correlation coefficient when information about the population mean and population variance of one of the variables is not available but information about these parameters of another…

General Mathematics · Mathematics 2007-05-23 M. Khoshnevisan , F. Kaymarm , H. P. Singh , Rajesh Singh , Florentin Smarandache

Researchers often use linear regression to analyse randomized experiments to improve treatment effect estimation by adjusting for imbalances of covariates in the treatment and control groups. Our work offers a randomization-based inference…

Statistics Theory · Mathematics 2022-07-08 Hanzhong Liu , Yuehan Yang

The sample mean is often used to aggregate different unbiased estimates of a parameter, producing a final estimate that is unbiased but possibly high-variance. This paper introduces the Bayesian median of means, an aggregation rule that…

Statistics Theory · Mathematics 2019-06-05 Paulo Orenstein

Given p independent normal populations, we consider the problem of estimating the mean of those populations, that based on the observed data, give the strongest signals. We explicitly condition on the ranking of the sample means, and…

Methodology · Statistics 2017-02-28 Claudio Fuentes , Vik Gopal

The problem of estimating a proportion of objects with particular attribute in a finite population is considered. This paper shows an example of the application of estimation fraction using new proposed sample allocation in a population…

Applications · Statistics 2019-03-19 Dominik Sieradzki , Wojciech Zieliński

In this paper, we propose an estimator of the generalized maximum mean discrepancy between several distributions, constructed by modifying a naive estimator. Asymptotic normality is obtained for this estimator both under equality of these…

Statistics Theory · Mathematics 2020-03-13 Armando Sosthene Kali Balogoun , Guy Martial Nkiet , Carlos Ogouyandjou

We design and implement a novel algorithm for computing a multilevel Monte Carlo (MLMC) estimator of the cumulative distribution function of a quantity of interest in problems with random input parameters or initial conditions. Our approach…

Numerical Analysis · Mathematics 2020-08-26 Søren Taverniers , Daniel M. Tartakovsky

In this paper, we propose a stratified sampling algorithm in which the random drawings made in the strata to compute the expectation of interest are also used to adaptively modify the proportion of further drawings in each stratum. These…

Methodology · Statistics 2007-12-04 Pierre Etore , Benjamin Jourdain

This paper proposes an estimation framework to assess the performance of sorting over perturbed/noisy data. In particular, the recovering accuracy is measured in terms of Minimum Mean Square Error (MMSE) between the values of the sorting…

Information Theory · Computer Science 2019-09-04 Alex Dytso , Martina Cardone , H. Vincent Poor

In this paper, we consider a statistical problem of learning a linear model from noisy samples. Existing work has focused on approximating the least squares solution by using leverage-based scores as an importance sampling distribution.…

Machine Learning · Statistics 2016-02-11 Siheng Chen , Rohan Varma , Aarti Singh , Jelena Kovačević

In countries where population census data are limited, generating accurate subnational estimates of health and demographic indicators is challenging. Existing model-based geostatistical methods leverage covariate information and spatial…

Methodology · Statistics 2022-08-08 Peter A. Gao , Jon Wakefield

The era of big data is coming, and evidence-based medicine is attracting increasing attention to improve decision making in medical practice via integrating evidence from well designed and conducted clinical research. Meta-analysis is a…

Methodology · Statistics 2016-10-05 Dehui Luo , Xiang Wan , Jiming Liu , Tiejun Tong

Estimation of mutual information between (multidimensional) real-valued variables is used in analysis of complex systems, biological systems, and recently also quantum systems. This estimation is a hard problem, and universally good…

Quantitative Methods · Quantitative Biology 2019-08-14 Caroline M. Holmes , Ilya Nemenman
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