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There are over 55 different ways to construct a confidence respectively credible interval (CI) for the binomial proportion. Methods to compare them are necessary to decide which should be used in practice. The interval score has been…

统计方法学 · 统计学 2022-07-08 Lisa J. Hofer , Leonhard Held

Deep learning models have significantly improved prediction accuracy in various fields, gaining recognition across numerous disciplines. Yet, an aspect of deep learning that remains insufficiently addressed is the assessment of prediction…

机器学习 · 统计学 2024-12-18 Asaf Ben Arie , Malka Gorfine

We show that, when the double bootstrap is used to improve performance of bootstrap methods for bias correction, techniques based on using a single double-bootstrap sample for each single-bootstrap sample can be particularly effective. In…

统计理论 · 数学 2015-11-12 Jinyuan Chang , Peter Hall

We develop scalable methods for producing conformal Bayesian predictive intervals with finite sample calibration guarantees. Bayesian posterior predictive distributions, $p(y \mid x)$, characterize subjective beliefs on outcomes of…

统计方法学 · 统计学 2021-06-15 Edwin Fong , Chris Holmes

Although applications of Bayesian analysis for numerical quadrature problems have been considered before, it's only very recently that statisticians have focused on the connections between statistics and numerical analysis of differential…

统计计算 · 统计学 2017-10-03 Majnu John , Yihren Wu

In machine learning, the selection of a promising model from a potentially large number of competing models and the assessment of its generalization performance are critical tasks that need careful consideration. Typically, model selection…

机器学习 · 统计学 2023-02-06 Pascal Rink , Werner Brannath

This paper considers inference for conditional moment inequality models using a multiscale statistic. We derive the asymptotic distribution of this test statistic and use the result to propose feasible critical values that have a simple…

应用统计 · 统计学 2015-12-10 Timothy B. Armstrong , Hock Peng Chan

In this article, a general problem of sequential statistical inference for general discrete-time stochastic processes is considered. The problem is to minimize an average sample number given that Bayesian risk due to incorrect decision does…

统计理论 · 数学 2010-10-18 Andrey Novikov

We provide a review of recent developments in the calculation of standard errors and test statistics for statistical inference. While much of the focus of the last two decades in economics has been on generating unbiased coefficients,…

计量经济学 · 经济学 2024-10-04 Jeffrey D. Michler , Anna Josephson

Bootstrapping is often applied to get confidence limits for semiparametric inference of a target parameter in the presence of nuisance parameters. Bootstrapping with replacement can be computationally expensive and problematic when…

Selective inference is the problem of giving valid answers to statistical questions chosen in a data-driven manner. A standard solution to selective inference is simultaneous inference, which delivers valid answers to the set of all…

统计方法学 · 统计学 2024-05-03 Tijana Zrnic , William Fithian

This study aims to evaluate the performance of power in the likelihood ratio test for changepoint detection by bootstrap sampling, and proposes a hypothesis test based on bootstrapped confidence interval lengths. Assuming i.i.d normally…

统计方法学 · 统计学 2020-11-10 Ryan Chen , Javier Cabrera

Bootstrapping was designed to randomly resample data from a fixed sample using Monte Carlo techniques. However, the original sample itself defines a discrete distribution. Convolutional methods are well suited for discrete distributions,…

统计方法学 · 统计学 2021-07-19 Jared M. Clark , Richard L. Warr

The bootstrap procedure has emerged as a general framework to construct prediction intervals for future observations in autoregressive time series models. Such models with outlying data points are standard in real data applications,…

统计方法学 · 统计学 2020-11-17 Ufuk Beyaztas , Han Lin Shang

Despite the versatility of generalized linear mixed models in handling complex experimental designs, they often suffer from misspecification and convergence problems. This makes inference on the values of coefficients problematic. To…

统计方法学 · 统计学 2025-03-31 Angela Andreella , Jelle Goeman , Jesse Hemerik , Livio Finos

Diagnostic accuracy studies assess sensitivity and specificity of a new index test in relation to an established comparator or the reference standard. The development and selection of the index test is usually assumed to be conducted prior…

统计方法学 · 统计学 2022-08-30 Max Westphal , Antonia Zapf

An important disadvantage of the h-index is that typically it cannot take into account the specific field of research of a researcher. Usually sample point estimates of the average and median h-index values for the various fields are…

数字图书馆 · 计算机科学 2017-08-29 C. Malesios , S. Psarakis

Inference and testing in general point process models such as the Hawkes model is predominantly based on asymptotic approximations for likelihood-based estimators and tests. As an alternative, and to improve finite sample performance, this…

计量经济学 · 经济学 2021-09-22 Giuseppe Cavaliere , Ye Lu , Anders Rahbek , Jacob Stærk-Østergaard

Whereas confidence intervals are used to assess uncertainty due to unmeasured individuals, confounding intervals can be used to assess uncertainty due to unmeasured attributes. Previously, we have introduced a methodology for computing…

统计方法学 · 统计学 2025-08-13 Brian Knaeble , R Mitchell Hughes

The statistical evidence (or marginal likelihood) is a key quantity in Bayesian statistics, allowing one to assess the probability of the data given the model under investigation. This paper focuses on refining the power posterior approach…

统计计算 · 统计学 2013-06-14 Nial Friel , Merrilee Hurn , Jason Wyse