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We consider Wald's sequential probability ratio test for deciding whether a sequence of independent and identically distributed observations comes from a specified phase-type distribution or from an exponentially tilted alternative…

Probability · Mathematics 2013-07-24 Hansjörg Albrecher , Peiman Asadi , Jevgenijs Ivanovs

Banks must optimize risky investments, dividend payouts, and capital structure under tight Basel III solvency and liquidity constraints, while costly equity issuance serves as a distress-recovery tool. We formulate this as a stochastic…

Optimization and Control · Mathematics 2026-03-17 Erhan Bayraktar , Etienne Chevalier , Vathana Ly Vath , Yuqiong Wang

We consider the change-point detection in multivariate continuous and integer valued time series. We propose a Wald-type statistic based on the estimator performed by a general contrast function; which can be constructed from the…

Statistics Theory · Mathematics 2021-04-29 Mamadou Lamine Diop , William Kengne

Alerting experience with a well-acknowledged safety analysis code initiated the authors to pay attention to safety issues of complex systems. Their first concern was the statistical characteristics of such a code. We point out a remarkable…

Data Analysis, Statistics and Probability · Physics 2007-05-23 L. Pal , M. Makai

We suggest a robust nearest-neighbor approach to classifying high-dimensional data. The method enhances sensitivity by employing a threshold and truncates to a sequence of zeros and ones in order to reduce the deleterious impact of…

Statistics Theory · Mathematics 2009-09-02 Yao-ban Chan , Peter Hall

Feature importance scores are ubiquitous tools for understanding the predictions of machine learning models. However, many popular attribution methods suffer from high instability due to random sampling. Leveraging novel ideas from…

Machine Learning · Statistics 2025-07-08 Jeremy Goldwasser , Giles Hooker

We propose a robust variable selection procedure using a divergence based M-estimator combined with a penalty function. It produces robust estimates of the regression parameters and simultaneously selects the important explanatory…

Methodology · Statistics 2020-01-01 Abhijit Mandal , Samiran Ghosh

Data valuation has wide use cases in machine learning, including improving data quality and creating economic incentives for data sharing. This paper studies the robustness of data valuation to noisy model performance scores. Particularly,…

Machine Learning · Computer Science 2023-12-19 Jiachen T. Wang , Ruoxi Jia

We apply multiple testing procedures to the validation of estimated default probabilities in credit rating systems. The goal is to identify rating classes for which the probability of default is estimated inaccurately, while still…

Applications · Statistics 2010-06-28 Sebastian Döhler

When applying a statistical method in practice it often occurs that some observations deviate from the usual assumptions. However, many classical methods are sensitive to outliers. The goal of robust statistics is to develop methods that…

Methodology · Statistics 2008-08-06 Mia Hubert , Peter J. Rousseeuw , Stefan Van Aelst

Selective classification enables models to make predictions only when they are sufficiently confident, aiming to enhance safety and reliability, which is important in high-stakes scenarios. Previous methods mainly use deep neural networks…

Machine Learning · Computer Science 2024-06-10 Yu-Chang Wu , Shen-Huan Lyu , Haopu Shang , Xiangyu Wang , Chao Qian

In policy learning, the goal is typically to optimize a primary performance metric, but other subsidiary metrics often also warrant attention. This paper presents two strategies for evaluating these subsidiary metrics under a policy that is…

Statistics Theory · Mathematics 2025-09-09 Zhaoqi Li , Houssam Nassif , Alex Luedtke

Distinguishability and, by extension, observability are key properties of dynamical systems. Establishing these properties is challenging, especially when no analytical model is available and they are to be inferred directly from…

Systems and Control · Electrical Eng. & Systems 2024-06-10 Pierre-François Massiani , Mona Buisson-Fenet , Friedrich Solowjow , Florent Di Meglio , Sebastian Trimpe

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…

Applications · Statistics 2020-04-29 N. Balakrishnan , E. Castilla , N. Martin , L. Pardo

Randomized benchmarking (RB) protocols are standard tools for characterizing quantum devices. Prior analyses of RB protocols have not provided a complete method for analyzing realistic data, resulting in a variety of ad-hoc methods. The…

Quantum Physics · Physics 2018-02-02 Ian Hincks , Joel J. Wallman , Chris Ferrie , Chris Granade , David G. Cory

Credit scoring has been catalogued by the European Commission and the Executive Office of the US President as a high-risk classification task, a key concern being the potential harms of making loan approval decisions based on models that…

Machine Learning · Computer Science 2024-02-06 Pablo Casas , Christophe Mues , Huan Yu

Data-driven decision-making is performed by solving a parameterized optimization problem, and the optimal decision is given by an optimal solution for unknown true parameters. We often need a solution that satisfies true constraints even…

Optimization and Control · Mathematics 2020-03-03 Akihiro Yabe , Takanori Maehara

When developing risk prediction models, shrinkage methods are recommended, especially when the sample size is limited. Several earlier studies have shown that the shrinkage of model coefficients can reduce overfitting of the prediction…

Methodology · Statistics 2019-07-29 Ben Van Calster , Maarten van Smeden , Ewout W. Steyerberg

To recover a low rank structure from a noisy matrix, truncated singular value decomposition has been extensively used and studied. Recent studies suggested that the signal can be better estimated by shrinking the singular values. We pursue…

Methodology · Statistics 2014-11-25 Julie Josse , Sylvain Sardy

In this paper, we develop a simple approach for testing multiple statistical hypotheses based on the observations of a number of probability ratios enumerated consecutively with respect to the index of hypotheses. Explicit and tight bounds…

Statistics Theory · Mathematics 2012-06-19 Xinjia Chen
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