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The Birnbaum-Saunders regression model is commonly used in reliability studies. We address the issue of performing inference in this class of models when the number of observations is small. We show that the likelihood ratio test tends to…

统计方法学 · 统计学 2009-11-25 Artur J. Lemonte , Silvia L. P. Ferrari , Francisco Cribari-Neto

This paper deals with the scenario approach to robust optimization. This relies on a random sampling of the possibly infinite number of constraints induced by uncertainties in the parameters of an optimization problem. Solving the resulting…

最优化与控制 · 数学 2023-03-08 Fabien Lauer

We consider the problem of repetitive scenario design where one has to solve repeatedly a scenario design problem and can adjust the sample size (number of scenarios) to obtain a desired level of risk (constraint violation probability). We…

最优化与控制 · 数学 2025-09-08 Guillaume O. Berger , Raphaël M. Jungers

For a general statistical model, we introduce the notion of data dependent measure (DDM) on the model parameter. Typical examples of DDM are the posterior distributions. Like for posteriors, the quality of a DDM is characterized by the…

统计理论 · 数学 2019-04-01 Eduard Belitser

Model-based testing (MBT) provides an automated approach for finding discrepancies between software models and their implementation. If we want to incorporate MBT into the fast and iterative software development process that is Continuous…

软件工程 · 计算机科学 2023-05-02 P. H. M. van Spaendonck

In reliability engineering, data about failure events is often scarce. To arrive at meaningful estimates for the reliability of a system, it is therefore often necessary to also include expert information in the analysis, which is…

统计方法学 · 统计学 2016-10-25 Gero Walter , Frank P. A. Coolen

Background: Determining sample sizes for metabolomic experiments is important but due to the complexity of these experiments, there are currently no standard methods for sample size estimation in metabolomics. Since pilot studies are rarely…

Especially when facing reliability data with limited information (e.g., a small number of failures), there are strong motivations for using Bayesian inference methods. These include the option to use information from physics-of-failure or…

统计方法学 · 统计学 2022-10-27 Qinglong Tian , Colin Lewis-Beck , Jarad Niemi , William Meeker

Quantiles can represent key operational and business metrics, but the computational challenges associated with inference has hampered their adoption in online experimentation. One-sample confidence intervals are trivial to construct;…

统计方法学 · 统计学 2024-08-02 Evan Miller

Determining whether an algorithmic decision-making system discriminates against a specific demographic typically involves comparing a single point estimate of a fairness metric against a predefined threshold. This practice is statistically…

机器学习 · 计算机科学 2026-03-20 Antonio Ferrara , Francesco Cozzi , Alan Perotti , André Panisson , Francesco Bonchi

Contemporary statistical publications rely on simulation to evaluate performance of new methods and compare them with established methods. In the context of meta-analysis of log-odds-ratios, we investigate how the ways in which simulations…

统计方法学 · 统计学 2020-07-06 Elena Kulinskaya , David C. Hoaglin , Ilyas Bakbergenuly

Volumetry is one of the principal downstream applications of 3D medical image segmentation, for example, to detect abnormal tissue growth or for surgery planning. Conformal Prediction is a promising framework for uncertainty quantification,…

计算机视觉与模式识别 · 计算机科学 2024-07-30 Benjamin Lambert , Florence Forbes , Senan Doyle , Michel Dojat

In this work we introduce a novel approach, based on sampling, for finding assignments that are likely to be solutions to stochastic constraint satisfaction problems and constraint optimisation problems. Our approach reduces the size of the…

最优化与控制 · 数学 2015-09-22 Roberto Rossi , Brahim Hnich , S. Armagan Tarim , Steven Prestwich

The growing prevalence of unauthorized model usage and misattribution has increased the need for reliable model provenance analysis. However, existing methods largely rely on heuristic fingerprint-matching rules that lack provable error…

机器学习 · 计算机科学 2026-02-03 Xiaoqi Qiu , Hao Zeng , Zhiyu Hou , Hongxin Wei

Statistical uncertainties complicate engineering design -- confounding regulated design approaches, and degrading the performance of reliability efforts. The simplest means to tackle this uncertainty is double loop simulation; a nested…

统计方法学 · 统计学 2018-11-02 Zachary del Rosario , Richard W. Fenrich , Gianluca Iaccarino

Hypothesis testing for small-sample scenarios is a practically important problem. In this paper, we investigate the robust hypothesis testing problem in a data-driven manner, where we seek the worst-case detector over distributional…

机器学习 · 统计学 2022-05-17 Jie Wang , Yao Xie

Most work on one-shot devices assume that there is only one possible cause of device failure. However, in practice, it is often the case that the products under study can experience any one of various possible causes of failure. Robust…

应用统计 · 统计学 2020-04-29 N. Balakrishnan , E. Castilla , N. Martin , L. Pardo

This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

最优化与控制 · 数学 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

Accelerated life-tests (ALTs) are used for inferring lifetime characteristics of highly reliable products. In particular, step-stress ALTs increase the stress level at which units under test are subject at certain pre-fixed times, thus…

统计理论 · 数学 2024-02-12 Narayanaswamy Balakrishnan , Maria Jaenada , Leandro Pardo

Fault detection is crucial for ensuring the safety and reliability of modern industrial systems. However, a significant scientific challenge is the lack of rigorous risk control and reliable uncertainty quantification in existing diagnostic…

人工智能 · 计算机科学 2025-08-05 Mingchen Mei , Yi Li , YiYao Qian , Zijun Jia