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In this paper, a new randomized response technique aimed at protecting respondents' privacy is proposed. It is designed for estimating the population total, or the population mean, of a quantitative characteristic. It provides a~high degree…

Methodology · Statistics 2021-01-25 Jaromir Antoch , Francesco Mola , Ondrej Vozar

Ranked set sampling (RSS) is used as a powerful data collection technique for situations where measuring the study variable requires a costly and/or tedious process while the sampling units can be ranked easily (e.g., osteoporosis…

Methodology · Statistics 2021-10-18 Andrew David Pearce , Armin Hatefi

For high volume data streams and large data warehouses, sampling is used for efficient approximate answers to aggregate queries over selected subsets. Mathematically, we are dealing with a set of weighted items and want to support queries…

Data Structures and Algorithms · Computer Science 2007-05-23 Mario Szegedy , Mikkel Thorup

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

Partially rank-ordered set (PROS) sampling is a generalization of ranked set sampling in which rankers are not required to fully rank the sampling units in each set, hence having more flexibility to perform the necessary judgemental ranking…

Statistics Theory · Mathematics 2015-04-29 Armin Hatefi , Mohammad Jafari Jozani

We propose a new ensemble prediction method, Random Subset Averaging (RSA), tailored for settings with many covariates, particularly in the presence of strong correlations. RSA constructs candidate models via binomial random subset strategy…

Methodology · Statistics 2025-12-30 Wenhao Cui , Jie Hu

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

Multilayer perceptron (MLP), one of the most fundamental neural networks, is extensively utilized for classification and regression tasks. In this paper, we establish a new generalization error bound, which reveals how the variance of…

Machine Learning · Computer Science 2025-08-29 Feijiang Li , Liuya Zhang , Jieting Wang , Tao Yan , Yuhua Qian

This work is concerned with the estimation of hard-to-reach population sizes using a single respondent-driven sampling (RDS) survey, a variant of chain-referral sampling that leverages social relationships to reach members of a hidden…

This paper deals with the estimation of population sizes for respondent-driven sampling (RDS), a variant of link-tracing sampling that leverages social networks over a number of waves to recruit individuals from hidden populations. The RDS…

Methodology · Statistics 2023-07-24 Mamadou Yauck

A specific family of point processes are introduced that allow to select samples for the purpose of estimating the mean or the integral of a function of a real variable. These processes, called quasi-systematic processes, depend on a tuning…

Methodology · Statistics 2016-07-19 Matthieu Wilhelm , Yves Tillé , Lionel Qualité

This thesis presents Regenerative Rejection Sampling (RRS), a novel approximate sampling algorithm inspired by classical Rejection Sampling and Markov Chain Monte Carlo methods. The method constructs a continuous-time regenerative process…

Computation · Statistics 2026-04-01 Tommaso Bozzi

Random sample consensus (RANSAC) is a robust model-fitting algorithm. It is widely used in many fields including image-stitching and point cloud registration. In RANSAC, data is uniformly sampled for hypothesis generation. However, this…

Robotics · Computer Science 2020-11-19 Guoxiang Zhang , YangQuan Chen

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

Respondent-driven sampling (RDS) is a popular method for sampling hard-to-survey populations that leverages social network connections through peer recruitment. While RDS is most frequently applied to estimate the prevalence of infections…

Methodology · Statistics 2016-10-24 Ashton M. Verdery , Jacob C. Fisher , Nalyn Siripong , Kahina Abdesselam , Shawn Bauldry

Current methods for population mean estimation from data collected by Respondent Driven Sampling (RDS) are based on the Horvitz-Thompson estimator together with a set of assumptions on the sampling model under which the inclusion…

Methodology · Statistics 2014-11-10 Adityanand Guntuboyina , Russell Barbour , Robert Heimer

Sequential importance sampling algorithms have been defined to estimate likelihoods in models of ancestral population processes. However, these algorithms are based on features of the models with constant population size, and become…

Statistics Theory · Mathematics 2016-03-24 Coralie Merle , Raphaël Leblois , François Rousset , Pierre Pudlo

Soft random sampling (SRS) is a simple yet effective approach for efficient training of large-scale deep neural networks when dealing with massive data. SRS selects a subset uniformly at random with replacement from the full data set in…

Machine Learning · Computer Science 2023-11-27 Xiaodong Cui , Ashish Mittal , Songtao Lu , Wei Zhang , George Saon , Brian Kingsbury

Determining the precise rank is an important problem in many large-scale applications with matrix data exploiting low-rank plus noise models. In this paper, we suggest a universal approach to rank inference via residual subsampling (RIRS)…

Statistics Theory · Mathematics 2024-11-12 Xiao Han , Qing Yang , Yingying Fan

In the present study, we propose a new estimator for population mean of the study variable y in the case of stratified random sampling using the information based on auxiliary variable x. Expression for the mean squared error (MSE) of the…

Applications · Statistics 2014-07-25 Sachin Malik , Viplav Kumar Singh , Rajesh Singh