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To use control charts in practice, the in-control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured for example by the false alarm probability or the…

Methodology · Statistics 2013-07-30 Axel Gandy , Jan Terje Kvaløy

To address the difficult problem of multi-step ahead prediction of non-parametric autoregressions, we consider a forward bootstrap approach. Employing a local constant estimator, we can analyze a general type of non-parametric time series…

Methodology · Statistics 2023-11-02 Dimitris N. Politis , Kejin Wu

Designing networks capable of attaining better performance with an increased inference budget is important to facilitate generalization to harder problem instances. Recent efforts have shown promising results in this direction by making use…

Machine Learning · Computer Science 2022-11-21 Cem Anil , Ashwini Pokle , Kaiqu Liang , Johannes Treutlein , Yuhuai Wu , Shaojie Bai , Zico Kolter , Roger Grosse

We show that bootstrap methods based on the positivity of probability measures provide a systematic framework for studying both synchronous and asynchronous nonequilibrium stochastic processes on infinite lattices. First, we formulate…

Statistical Mechanics · Physics 2025-11-12 Minjae Cho

In the recent paper [5], a Bayesian approach for constructing confidence intervals in monotone regression problems is proposed, based on credible intervals. We view this method from a frequentist point of view, and show that it corresponds…

Statistics Theory · Mathematics 2023-08-01 Piet Groeneboom , Geurt Jongbloed

Equity risk premium is a central component of every risk and return model in finance and a key input to estimate costs of equity and capital in both corporate finance and valuation. An article by Damodaran examines three broad approaches…

Pricing of Securities · Quantitative Finance 2019-03-20 Enzo Busseti

In this paper, we have established a unified framework of multistage parameter estimation. We demonstrate that a wide variety of statistical problems such as fixed-sample-size interval estimation, point estimation with error control,…

Statistics Theory · Mathematics 2013-11-05 Xinjia Chen

Purpose: Despite the potential of machine learning models, the lack of generalizability has hindered their widespread adoption in clinical practice. We investigate three methodological pitfalls: (1) violation of independence assumption, (2)…

Machine Learning · Computer Science 2022-09-09 Farhad Maleki , Katie Ovens , Rajiv Gupta , Caroline Reinhold , Alan Spatz , Reza Forghani

This paper describes three methods for carrying out non-asymptotic inference on partially identified parameters that are solutions to a class of optimization problems. Applications in which the optimization problems arise include estimation…

Methodology · Statistics 2022-12-02 Joel L. Horowitz , Sokbae Lee

The risk premium of a policy is the sum of the pure premium and the risk loading. In the classification ratemaking process, generalized linear models are usually used to calculate pure premiums, and various premium principles are applied to…

Applications · Statistics 2022-01-07 Liang Yang , Zhengxiao Li , Shengwang Meng

Inference over tails is performed by applying only the results of extreme value theory. Whilst such theory is well defined and flexible enough in the univariate case, multivariate inferential methods often require the imposition of…

Methodology · Statistics 2017-08-11 Manuele Leonelli , Dani Gamerman

The analysis of extremal dependence in high dimensions has recently attracted considerable interest. Existing methodology primarily focuses on modeling and estimation of extremal dependence structures, often supported by concentration…

Statistics Theory · Mathematics 2026-04-02 Axel Bücher , Yeonjoon Choi , Katharina Effertz , Stanislav Volgushev

This paper is about how we study statistical methods. As an example, it uses the random regressions model, in which the intercept and slope of cluster-specific regression lines are modeled as a bivariate random effect. Maximizing this…

Other Statistics · Statistics 2019-05-22 James S. Hodges

In this paper we present a technique for using the bootstrap to estimate the operating characteristics and their variability for certain types of ensemble methods. Bootstrapping a model can require a huge amount of work if the training data…

Machine Learning · Statistics 2017-10-26 Anthony Gamst , Jay-Calvin Reyes , Alden Walker

We introduce the Entropy-Driven Uncertainty Process Reward Model (EDU-PRM), a novel entropy-driven training framework for process reward modeling that enables dynamic, uncertainty-aligned segmentation of complex reasoning steps, eliminating…

Machine Learning · Computer Science 2026-03-10 Lang Cao , Renhong Chen , Yingtian Zou , Chao Peng , Huacong Xu , Yuxian Wang , Wu Ning , Qian Chen , Mofan Peng , Zijie Chen , Peishuo Su , Yitong Li

We introduce a method to estimate simultaneously the tail and the threshold parameters of an extreme value regression model. This standard model finds its use in finance to assess the effect of market variables on extreme loss distributions…

Methodology · Statistics 2023-04-17 Julien Hambuckers , Marie Kratz , Antoine Usseglio-Carleve

This paper develops a framework to study the statistical power of revealed-preference tests. With randomly sampled budgets and mild smoothness of demand, statistical learning implies that any model consistent with the data must approximate…

Theoretical Economics · Economics 2026-02-12 Charles Gauthier , Raghav Malhotra , Agustin Troccoli Moretti

In economic program evaluation, it is common to obtain panel data in which outcomes are indicators that an individual has reached an absorbing state. For example, they may indicate whether an individual has exited a period of unemployment,…

Econometrics · Economics 2026-05-26 Ben Deaner , Hyejin Ku

We propose a robust optimization approach for constructing confidence bands for stochastic processes using a finite number of simulated sample paths. Our approach can be used to quantify uncertainty in realizations of stochastic processes…

Optimization and Control · Mathematics 2025-08-13 Timothy Chan , Jangwon Park , Vahid Sarhangian

The multivariate linear regression model is an important tool for investigating relationships between several response variables and several predictor variables. The primary interest is in inference about the unknown regression coefficient…

Statistics Theory · Mathematics 2017-09-13 Daniel J. Eck