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In this paper we study the asymptotic theory for samples problem based on the functional empirical process (fep), this new method is called general samples problem. We suggest this method to develop the full theory of estimation of means,…

Methodology · Statistics 2025-08-12 Abdoulaye Camara , Adja Mbarka Fall , Moumouni Diallo , Gane Samb Lo

Motivation: The comparison of diverse genomic datasets is fundamental to understanding genome biology. Researchers must explore many large datasets of genome intervals (e.g., genes, sequence alignments) to place their experimental results…

Genomics · Quantitative Biology 2012-08-20 Ryan M. Layer , Kevin Skadron , Gabriel Robins , Ira M. Hall , Aaron R. Quinlan

We develop a post-selection inference method for the Cox proportional hazards model with interval-censored data, which provides asymptotically valid p-values and confidence intervals conditional on the model selected by lasso. The method is…

Methodology · Statistics 2024-01-02 Jianrui Zhang , Chenxi Li , Haolei Weng

Differential Privacy (DP) formalizes privacy in mathematical terms and provides a robust concept for privacy protection. DIfferentially Private Data Synthesis (DIPS) techniques produce and release synthetic individual-level data in the DP…

Applications · Statistics 2020-10-22 Claire McKay Bowen , Fang Liu , Binyue Su

We address the common problem of calculating intervals in the presence of systematic uncertainties. We aim to investigate several approaches, but here describe just a Bayesian technique for setting upper limits. The particular example we…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Joel Heinrich , Craig Blocker , John Conway , Luc Demortier , Louis Lyons , Giovanni Punzi , Pekka K. Sinervo

Stein's method compares probability distributions through the study of a class of linear operators called Stein operators. While mainly studied in probability and used to underpin theoretical statistics, Stein's method has led to…

The problem of guaranteed parameter estimation (GPE) consists in enclosing the set of all possible parameter values, such that the model predictions match the corresponding measurements within prescribed error bounds. One of the bottlenecks…

Numerical Analysis · Mathematics 2018-10-30 Junyan Su , Yanlin Zha , Kai Wang , Mario E. Villanueva , Radoslav Paulen , Boris Houska

Uncertainty quantification for estimation through stochastic optimization solutions in an online setting has gained popularity recently. This paper introduces a novel inference method focused on constructing confidence intervals with…

Machine Learning · Statistics 2026-03-24 Wanrong Zhu , Zhipeng Lou , Ziyang Wei , Wei Biao Wu

The mean shift iterative algorithm was proposed in 2006, for using the entropy as a stopping criterion. From then on, a theoretical base has been developed and a group of applications has been carried out using this algorithm. This paper…

Computer Vision and Pattern Recognition · Computer Science 2013-11-11 Roberto Rodríguez , Esley Torres , Yasel Garcés , Osvaldo Pereira , Humberto Sossa

Recently, there has been much research into modelling of uncertainty in human perception through Fuzzy Sets (FSs). Most of this research has focused on allowing respondents to express their (intra) uncertainty using intervals. Here,…

Artificial Intelligence · Computer Science 2019-07-11 Javier Navarro , Christian Wagner

This is the first of two papers describing the process of fitting experimental data under interval uncertainty. Here I present the methodology, designed from the very beginning as an interval-oriented tool, meant to replace to the large…

Data Analysis, Statistics and Probability · Physics 2009-03-03 Marek W. Gutowski

We study the problem of collaboratively estimating the state of a discrete-time LTI process by a network of sensor nodes interacting over a time-varying directed communication graph. Existing approaches to this problem either (i) make…

Systems and Control · Computer Science 2018-10-16 Aritra Mitra , John A. Richards , Saurabh Bagchi , Shreyas Sundaram

Behavioral science researchers have shown strong interest in disaggregating within-person relations from between-person differences (stable traits) using longitudinal data. In this paper, we propose a method of within-person variability…

Methodology · Statistics 2025-01-08 Satoshi Usami

When an interval of integers between the lower bound $l_i$ and the upper bound $u_i$ is the support of the marginal distribution $n_i|(n_{i-1}, ...,n_1)$, Chen et al, 2005 noticed that sampling from the interval at each step, for $n_i$…

Combinatorics · Mathematics 2018-01-19 Ruriko Yoshida , Jing Xi , Shaoceng Wei , Feng Zhou , David Haws

This paper investigates the robust stability and stabilization analysis of interval fractional-order systems with time-varying delay. The stability problem of such systems is solved first, and then using the proposed results a stabilization…

Systems and Control · Electrical Eng. & Systems 2019-09-19 Pouya Badri , Mahdi Sojoodi

In this paper, we establish a connection between the recently developed data-driven time-frequency analysis \cite{HS11,HS13-1} and the classical second order differential equations. The main idea of the data-driven time-frequency analysis…

Information Theory · Computer Science 2013-12-03 T. Y. Hou , Z. Shi , P. Tavallali

RooStats is a project to create advanced statistical tools required for the analysis of LHC data, with emphasis on discoveries, confidence intervals, and combined measurements. The idea is to provide the major statistical techniques as a…

Data Analysis, Statistics and Probability · Physics 2011-02-02 Lorenzo Moneta , Kevin Belasco , Kyle Cranmer , Sven Kreiss , Alfio Lazzaro , Danilo Piparo , Gregory Schott , Wouter Verkerke , Matthias Wolf

Practitioners are interested in not only the average causal effect of the treatment on the outcome but also the underlying causal mechanism in the presence of an intermediate variable between the treatment and outcome. However, in many…

Methodology · Statistics 2016-02-04 Peng Ding , Jiannan Lu

Marginal model is a popular instrument for studying longitudinal data and cluster data. This paper investigates the estimator of marginal model with subgroup auxiliary information. To marginal model, we propose a new type of auxiliary…

Methodology · Statistics 2018-06-11 Jie He , Xiaogang Duan , Shumei Zhang , Hui Li

Differential Privacy (DP) is a mathematical framework for releasing information with formal privacy guarantees. While numerous DP procedures have been developed for statistical analysis and machine learning, valid statistical inference…

Methodology · Statistics 2025-06-27 Ruyu Zhou , Fang Liu
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