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We consider sequential selection of an alternating subsequence from a sequence of independent, identically distributed, continuous random variables, and we determine the exact asymptotic behavior of an optimal sequentially selected…

This paper introduces smoothed pseudo-population bootstrap methods for the purposes of variance estimation and the construction of confidence intervals for finite population quantiles. In an i.i.d. context, it has been shown that resampling…

统计方法学 · 统计学 2025-09-30 Vanessa McNealis , Christian Léger

To study population dynamics, ecologists and wildlife biologists use relative abundance data, which are often subject to temporal preferential sampling. Temporal preferential sampling occurs when sampling effort varies across time. To…

统计方法学 · 统计学 2022-12-14 Michael R. Schwob , Mevin B. Hooten , Travis McDevitt-Galles

The emerging field of high-throughput compartmentalized in vitro evolution is a promising new approach to protein engineering. In these experiments, libraries of mutant genotypes are randomly distributed and expressed in microscopic…

种群与进化 · 定量生物学 2019-11-06 Anton S. Zadorin , Yannick Rondelez

The present study discuss the problem of estimating the finite population mean using auxiliary attribute in stratified random sampling. In this paper taking the advantage of point bi-serial correlation between the study variable and…

统计理论 · 数学 2014-08-13 Hemant K. Verma , Prayas Sharma , Rajesh Singh

We prove that in many realistic cases, the ordinary sample mean after a group sequential trial is asymptotically normal if the maximal number of observations increases. We derive that it is often safe to use naive confidence intervals for…

统计理论 · 数学 2018-05-28 Ben Berckmoes , Anna Ivanova , Geert Molenberghs

The choice of sample size in the context of co-primary endpoints for a randomised trial is discussed. Current guidance can leave endpoints with unequal marginal power. A method is provided to achieve equal marginal power by using the…

统计方法学 · 统计学 2026-02-23 Simon Bond

Population dynamics of a competitive two-species system under the influence of random events are analyzed and expressions for the steady-state population mean, fluctuations, and cross-correlation of the two species are presented. It is…

种群与进化 · 定量生物学 2020-02-19 M. M. Tehrani , S. Soltanieh

This paper investigates the robustness of futility analyses in clinical trials when interim analysis population deviates from the target population. We demonstrate how population shifts can distort early stopping decisions and propose…

统计方法学 · 统计学 2025-07-31 Rui Jin , Cai Wu , Peter Mesenbrink

Data deduplication saves storage space by identifying and removing repeats in the data stream. Compared with traditional compression methods, data deduplication schemes are more time efficient and are thus widely used in large scale storage…

信息论 · 计算机科学 2022-05-30 Hao Lou , Farzad Farnoud

Permutation tests are a distribution free way of performing hypothesis tests. These tests rely on the condition that the observed data are exchangeable among the groups being tested under the null hypothesis. This assumption is easily…

统计方法学 · 统计学 2017-12-14 Daniell Toth

We propose a sampling scheme suitable for reducing a data set prior to selecting a hypothesis with minimum empirical risk. The sampling only considers a subset of the ultimate (unknown) hypothesis set, but can nonetheless guarantee that the…

机器学习 · 计算机科学 2013-06-25 Paul Mineiro , Nikos Karampatziakis

In panel experiments, we randomly assign units to different interventions, measuring their outcomes, and repeating the procedure in several periods. Using the potential outcomes framework, we define finite population dynamic causal effects…

统计方法学 · 统计学 2021-05-28 Iavor Bojinov , Ashesh Rambachan , Neil Shephard

Constructing tests or confidence regions that control over the error rates in the long-run is probably one of the most important problem in statistics. Yet, the theoretical justification for most methods in statistics is asymptotic. The…

统计方法学 · 统计学 2019-01-23 Stéphane Guerrier , Mucyo Karemera , Samuel Orso , Maria-Pia Victoria-Feser

In this paper, we determine which non-random sampling of fixed size gives the best linear predictor of the sum of a finite spatial population. We employ different multiscale superpopulation models and use the minimum mean-squared error as…

统计理论 · 数学 2007-06-13 Vinay J. Ribeiro , Rudolf H. Riedi , Richard G. Baraniuk

A data set sampled from a certain population is biased if the subgroups of the population are sampled at proportions that are significantly different from their underlying proportions. Training machine learning models on biased data sets…

机器学习 · 计算机科学 2021-08-30 Jing An , Lexing Ying , Yuhua Zhu

This article considers causal inference for treatment contrasts from a randomized experiment using potential outcomes in a finite population setting. Adopting a Neymanian repeated sampling approach that integrates such causal inference with…

统计方法学 · 统计学 2016-06-17 Rahul Mukerjee , Tirthankar Dasgupta , Donald B. Rubin

This paper considers the problem of inference after ranking. In our setting, we are interested in any population whose rank according to some random quantity, such as an estimated treatment effect, a measure of value-added, or benefit (net…

计量经济学 · 经济学 2026-01-06 Andreas Petrou-Zeniou , Azeem M. Shaikh

The large-sample properties of likelihood-based statistical inference under mixture models have received much attention from statisticians. Although the consistency of the nonparametric MLE is regarded as a standard conclusion, many…

统计理论 · 数学 2016-07-06 Jiahua Chen

The main idea of nested sampling is to substitute the high-dimensional likelihood integral over the parameter space $\Omega$ by an integral over the unit line $[0,1]$ by employing a push-forward with respect to a suitable transformation.…

统计理论 · 数学 2021-04-29 Doris Schittenhelm , Philipp Wacker