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We study statistical properties of the optimal value and optimal solutions of the Sample Average Approximation of risk averse stochastic problems. Central Limit Theorem type results are derived for the optimal value and optimal solutions…

最优化与控制 · 数学 2016-03-25 Vincent Guigues , Volker Krätschmer , Alexander Shapiro

Bayesian hypothesis testing is re-examined from the perspective of an a priori assessment of the test statistic distribution under the alternative. By assessing the distribution of an observable test statistic, rather than prior parameter…

统计理论 · 数学 2018-08-28 Hedibert F. Lopes , Nicholas G. Polson

This paper proposes a low-computational Bayesian algorithm for noisy sparse recovery (NSR), called BHT-BP. In this framework, we consider an LDPC-like measurement matrices which has a tree-structured property, and additive white Gaussian…

信息论 · 计算机科学 2015-01-20 Jaewook Kang , Heung-No Lee , Kiseon Kim

How should we evaluate the effect of a policy on the likelihood of an undesirable event, such as conflict? The significance test has three limitations. First, relying on statistical significance misses the fact that uncertainty is a…

统计方法学 · 统计学 2022-05-03 Akisato Suzuki

Many statistical problems involve data from thousands of parallel cases. Each case has some associated effect size, and most cases will have no effect. It is often important to estimate the effect size and the local or tail-area false…

应用统计 · 统计学 2010-10-08 Omkar Muralidharan

In molecular biology, advances in high-throughput technologies have made it possible to study complex multivariate phenotypes and their simultaneous associations with high-dimensional genomic and other omics data, a problem that can be…

统计方法学 · 统计学 2021-12-02 Zhi Zhao , Marco Banterle , Leonardo Bottolo , Sylvia Richardson , Alex Lewin , Manuela Zucknick

We develop a novel computationally efficient and general framework for robust hypothesis testing. The new framework features a new way to construct uncertainty sets under the null and the alternative distributions, which are sets centered…

机器学习 · 统计学 2018-05-29 Rui Gao , Liyan Xie , Yao Xie , Huan Xu

Forecasting and forecast evaluation are inherently sequential tasks. Predictions are often issued on a regular basis, such as every hour, day, or month, and their quality is monitored continuously. However, the classical statistical tools…

统计方法学 · 统计学 2022-07-04 Sebastian Arnold , Alexander Henzi , Johanna F. Ziegel

We present StatTestCalculator (STC), a new open-source statistical analysis tool designed for analysis high energy physics experiments. STC provides both asymptotic calculations and Monte Carlo simulations for computing the exact…

高能物理 - 唯象学 · 物理学 2025-10-14 Emil Abasov , Lev Dudko , Daniil Gorin , Oleg Vasilevskii

So-called linear rank statistics provide a means for distribution-free (even in finite samples), yet highly flexible, two-sample testing in the setting of univariate random variables. Their flexibility derives from a choice of weights that…

统计方法学 · 统计学 2023-10-03 Dan D. Erdmann-Pham

The randomized $p$-value, (nonrandomized) mid-$p$-value and abstract randomized $p$-value have all been recommended for testing a null hypothesis whenever the test statistic has a discrete distribution. This paper provides a unifying…

统计计算 · 统计学 2014-12-02 Joshua D Habiger

This paper investigates the problem of sparse support detection (SSD) via a detection-oriented algorithm named Bayesian hypothesis test via belief propagation (BHT-BP). Our main focus is to compare BHT-BP to an estimation-based algorithm,…

信息论 · 计算机科学 2013-04-09 Jaewook Kang , Heung-No Lee , Kiseon Kim

Practical problems with missing data are common, and statistical methods have been developed concerning the validity and/or efficiency of statistical procedures. On a central focus, there have been longstanding interests on the mechanism…

统计方法学 · 统计学 2020-03-26 Rui Duan , C. Jason Liang , Pamela Shaw , Cheng Yong Tang , Yong Chen

This article proposes an alternative to the Hosmer-Lemeshow (HL) test for evaluating the calibration of probability forecasts for binary events. The approach is based on e-values, a new tool for hypothesis testing. An e-value is a random…

统计方法学 · 统计学 2023-02-28 Alexander Henzi , Marius Puke , Timo Dimitriadis , Johanna Ziegel

In this paper, we propose an explicit closed-form Bayes factor for the problem of two-sample hypothesis testing. The proposed approach can be regarded as a Bayesian version of the pooled-variance t-statistic and has various appealing…

统计方法学 · 统计学 2015-09-10 Min Wang , Guangying Liu

The software package $\texttt{mstate}$, in articulation with the package $\texttt{survival}$, provides not only a well-established multi-state survival analysis framework in R, but also one of the most complete, as it includes point and…

统计计算 · 统计学 2022-01-21 Rui J. Costa , Moritz Gerstung

Bayesian synthetic likelihood (BSL) is now an established method for conducting approximate Bayesian inference in models where, due to the intractability of the likelihood function, exact Bayesian approaches are either infeasible or…

统计方法学 · 统计学 2020-06-12 David T. Frazier , Christopher Drovandi

Total probability and Bayes formula are two basic tools for using prior information in the Bayesian statistics. In this paper we introduce an alternative tool for using prior information. This new toold enables us to improve some…

数学物理 · 物理学 2009-11-10 Adel Mohammadpour , Ali Mohammad-Djafari

Quantum hypothesis testing (QHT) concerns the statistical inference of unknown quantum states. In the general setting of composite hypotheses, the goal of QHT is to determine whether an unknown quantum state belongs to one or another of two…

量子物理 · 物理学 2025-09-01 Matteo Zecchin , Osvaldo Simeone , Aaditya Ramdas

Statistical significance testing centered on p-values is commonly used to compare NLP system performance, but p-values alone are insufficient because statistical significance differs from practical significance. The latter can be measured…

计算与语言 · 计算机科学 2020-12-17 Haotian Zhu , Denise Mak , Jesse Gioannini , Fei Xia