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In some socio-economic surveys, data are collected on sensitive or stigmatizing issues such as tax evasion, criminal conviction, drug use, etc. In such surveys, direct questioning of respondents is not of much use and the randomized…

Statistics Theory · Mathematics 2013-03-22 Mausumi Bose

In this paper we propose a strategy for administering a survey that is mindful of sensitive data and individual privacy. The survey in question seeks to estimate the population proportions of a sensitive, polychotomous variable and does not…

Statistics Theory · Mathematics 2007-06-13 Fernando Esponda

Capture-recapture methods aim to estimate the size of a closed population on the basis of multiple incomplete enumerations of individuals. In many applications, the individual probability of being recorded is heterogeneous in the…

Methodology · Statistics 2016-06-08 James E. Johndrow , Kristian Lum , Daniel Manrique-Vallier

We develop cryptographically secure techniques to guarantee unconditional privacy for respondents to polls. Our constructions are efficient and practical, and are shown not to allow cheating respondents to affect the ``tally'' by more than…

Computational Complexity · Computer Science 2007-05-23 Andris Ambainis , Markus Jakobsson , Helger Lipmaa

In our data world, a host of not necessarily trusted controllers gather data on individual subjects. To preserve her privacy and, more generally, her informational self-determination, the individual has to be empowered by giving her agency…

Cryptography and Security · Computer Science 2020-12-22 Josep Domingo-Ferrer , Jordi Soria-Comas

In order to estimate the population mean in the presence of both non-response and measurement errors that are uncorrelated, the paper presents some novel estimators employing ranked set sampling by utilizing auxiliary information.Up to the…

Methodology · Statistics 2023-11-06 Rajesh Singh , Anamika Kumari

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…

Estimates of population size for hidden and hard-to-reach individuals are of particular interest to health officials when health problems are concentrated in such populations. Efforts to derive these estimates are often frustrated by a…

Social and Information Networks · Computer Science 2017-02-01 Bilal Khan , Hsuan-Wei Lee , Kirk Dombrowski

Randomized response is a popular local anonymization approach that can deliver anonymized multi-dimensional data sets with rigorous privacy guarantees. At the same time, it can ensure validity for exploratory analysis and machine learning…

Cryptography and Security · Computer Science 2026-03-06 Nicolas Ruiz

We present a new method for constructing a confidence interval for the mean of a bounded random variable from samples of the random variable. We conjecture that the confidence interval has guaranteed coverage, i.e., that it contains the…

Statistics Theory · Mathematics 2020-11-05 Erik Learned-Miller , Philip S. Thomas

Population size estimates for hidden and hard-to-reach populations are particularly important when members are known to suffer from disproportion health issues or to pose health risks to the larger ambient population in which they are…

Social and Information Networks · Computer Science 2018-07-04 Bilal Khan , Hsuan-Wei Lee , Ian Fellows , Kirk Dombrowski

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

In this paper, we consider the problem of estimating a potentially sensitive (individually stigmatizing) statistic on a population. In our model, individuals are concerned about their privacy, and experience some cost as a function of their…

Computer Science and Game Theory · Computer Science 2012-02-28 Katrina Ligett , Aaron Roth

Randomized response has long been used in statistical surveys to estimate the proportion of sensitive groups in a population while protecting the privacy of respondents. More recently, this technique has been adopted by organizations that…

Methodology · Statistics 2025-08-26 Bittu Karmakar , Palash Ghosh

The recent proliferation of computers and the internet have opened new opportunities for collecting and processing data. However, such data are often obtained without a well-planned probability survey design. Such non-probability based…

Applications · Statistics 2024-06-28 Vladislav Beresovsky , Julie Gershunskaya , Terrance D. Savitsky

This paper proposes a general family of estimators for estimating the population mean in systematic sampling in the presence of non-response adapting the family of estimators proposed by Khoshnevisan et al. (2007). In this paper we have…

Statistics Theory · Mathematics 2013-05-09 M. K. Chaudhary , Sachin Malik , Jayant Singh , Rajesh Singh

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

With the increasing amount of data in society, privacy concerns in data sharing have become widely recognized. Particularly, protecting personal attribute information is essential for a wide range of aims from crowdsourcing to realizing…

Cryptography and Security · Computer Science 2024-02-13 Akito Yamamoto , Tetsuo Shibuya

Randomized response is attractive for privacy preserving data collection because the provided privacy can be quantified by means such as differential privacy. However, recovering and analyzing statistics involving multiple dependent…

Cryptography and Security · Computer Science 2018-07-16 Staal A. Vinterbo

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
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