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We develop methods for estimating the size of hard-to-reach populations from data collected using network-based questions on standard surveys. Such data arise by asking respondents how many people they know in a specific group (e.g., people…

Methodology · Statistics 2015-11-06 Rachael Maltiel , Adrian E. Raftery , Tyler H. McCormick , Aaron J. Baraff

Large-scale empirical data, the sample size and the dimension are high, often exhibit various characteristics. For example, the noise term follows unknown distributions or the model is very sparse that the number of critical variables is…

Statistics Theory · Mathematics 2018-06-18 Yuehan Yang , Hu Yang

This paper introduces a new method for change detection in psychometric studies based on the recently introduced pseudo Score statistic, for which the sampling distribution under the alternative hypothesis has been determined. Our approach…

Methodology · Statistics 2024-08-09 Nicoletta D'Angelo

The log-normal distribution is used to describe the positive data, that it has skewed distribution with small mean and large variance. This distribution has application in many sciences for example medicine, economics, biology and…

Methodology · Statistics 2015-08-10 Saba Aghadoust , Kamel Abdollahnezhad , Farhad Yaghmaei , Ali Akbar Jafari

When developing a clinical prediction model, the sample size of the development dataset is a key consideration. Small sample sizes lead to greater concerns of overfitting, instability, poor performance and lack of fairness. Previous…

In this paper, we develop an exact method for the determination of the minimum sample size for estimating the proportion of a finite population with prescribed margin of error and confidence level. By characterizing the behavior of the…

Statistics Theory · Mathematics 2007-08-03 Xinjia Chen

The method of maximum entropy is quite a powerful tool to solve the generalized moment problem, which consists of determining the probability density of a random variable X from the knowledge of the expected values of a few functions of the…

Statistics Theory · Mathematics 2015-10-15 Henryk Gzyl

Boolean formulae compactly encode huge, constrained search spaces. Thus, variability-intensive systems are often encoded with Boolean formulae. The search space of a variability-intensive system is usually too large to explore without…

Logic in Computer Science · Computer Science 2025-03-19 Olivier Zeyen , Maxime Cordy , Martin Gubri , Gilles Perrouin , Mathieu Acher

While conformal predictors reap the benefits of rigorous statistical guarantees on their error frequency, the size of their corresponding prediction sets is critical to their practical utility. Unfortunately, there is currently a lack of…

Machine Learning · Statistics 2024-03-12 Guneet S. Dhillon , George Deligiannidis , Tom Rainforth

We investigate one/two-sample mean tests for high-dimensional compositional data when the number of variables is comparable with the sample size, as commonly encountered in microbiome research. Existing methods mainly focus on max-type test…

Statistics Theory · Mathematics 2024-04-15 Qianqian Jiang , Wenbo Li , Zeng Li

1. Sample size estimation through power analysis is a fundamental tool in planning an ecological study, yet there are currently no well-established procedures for when multivariate abundances are to be collected. A power analysis procedure…

Methodology · Statistics 2022-06-22 Ben Maslen , Gordana Popovic , Adriana Vergés , Ezequiel Marzinelli , David Warton

Affected relatives are essential for pedigree linkage analysis, however, they cause a violation of the independent sample assumption in case-control association studies. To avoid the correlation between samples, a common practice is to take…

Quantitative Methods · Quantitative Biology 2011-05-03 Yaning Yang , Elaine F. Remmers , Chukwuma B. Ogunwole , Daniel L. Kastner , Peter K. Gregersen , Wentian Li

Imbalanced data is a frequently encountered problem in machine learning. Despite a vast amount of literature on sampling techniques for imbalanced data, there is a limited number of studies that address the issue of the optimal sampling…

Machine Learning · Computer Science 2022-07-12 Firuz Kamalov , Amir F. Atiya , Dina Elreedy

Importance sampling is often used in machine learning when training and testing data come from different distributions. In this paper we propose a new variant of importance sampling that can reduce the variance of importance sampling-based…

Machine Learning · Computer Science 2016-11-11 Philip S. Thomas , Emma Brunskill

Existing two-sample testing techniques, particularly those based on choosing a kernel for the Maximum Mean Discrepancy (MMD), often assume equal sample sizes from the two distributions. Applying these methods in practice can require…

Machine Learning · Statistics 2025-12-17 Aaron Wei , Milad Jalali , Danica J. Sutherland

A/B testing is gaining attention in the automotive sector as a promising tool to measure causal effects from software changes. Different from the web-facing businesses, where A/B testing has been well-established, the automotive domain…

Software Engineering · Computer Science 2021-11-12 Yuchu Liu , David Issa Mattos , Jan Bosch , Helena Holmström Olsson , Jonn Lantz

Auditing is a widely used method for quality improvement, and many guidelines are available advising on how to draw samples for auditing. However, researchers or auditors sometimes find themselves in situations that are not straightforward…

Methodology · Statistics 2021-05-25 Laura Boeschoten , Sander Scholtus , Arnout van Delden

Projection-based testing for mean trajectory differences in two groups of irregularly and sparsely observed functional data has garnered significant attention in the literature because it accommodates a wide spectrum of group differences…

Methodology · Statistics 2023-10-11 Salil Koner , Sheng Luo

Sample size determination for a data set is an important statistical process for analyzing the data to an optimum level of accuracy and using minimum computational work. The applications of this process are credible in every domain which…

Machine Learning · Statistics 2014-02-26 Siddhant Sahu , V. Sugumaran

Statistical significance measures the reliability of a result obtained from a random experiment. We investigate the number of repetitions needed for a statistical result to have a certain significance. In the first step, we consider…

Methodology · Statistics 2024-06-19 Maike Tormählen , Galiya Klinkova , Michael Grabinski