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In clinical trials, inferences on clinical outcomes are often made conditional on specific selective processes. For instance, only when a treatment demonstrates a significant effect on the primary outcome, further analysis is conducted to…

统计方法学 · 统计学 2025-04-15 Tianyu Pan , Vivek Charu , Ying Lu , Lu Tian

This paper concerns the construction of confidence intervals in standard seroprevalence surveys. In particular, we discuss methods for constructing confidence intervals for the proportion of individuals in a population infected with a…

应用统计 · 统计学 2021-10-05 Thomas J. DiCiccio , David M. Ritzwoller , Joseph P. Romano , Azeem M. Shaikh

We examine the problem of construction of confidence intervals within the basic single-parameter, single-iteration variation of the method of quasi-optimal weights. Two kinds of distortions of such intervals due to insufficiently large…

数据分析、统计与概率 · 物理学 2020-05-27 A. D. Morozov , A. V. Lokhov , F. V. Tkachov

A prediction interval covers a future observation from a random process in repeated sampling, and is typically constructed by identifying a pivotal quantity that is also an ancillary statistic. Analogously, a tolerance interval covers a…

统计方法学 · 统计学 2022-01-19 Geoffrey S Johnson

The proposed approach extends the confidence posterior distribution to the semi-parametric empirical Bayes setting. Whereas the Bayesian posterior is defined in terms of a prior distribution conditional on the observed data, the confidence…

统计方法学 · 统计学 2012-05-02 David R. Bickel

We present a novel and easy-to-use method for calibrating error-rate based confidence intervals to evidence-based support intervals. Support intervals are obtained from inverting Bayes factors based on a parameter estimate and its standard…

统计方法学 · 统计学 2023-06-28 Samuel Pawel , Alexander Ly , Eric-Jan Wagenmakers

In this paper, we provide a general methodology to draw statistical inferences on individual signal coordinates or linear combinations of them in sparse phase retrieval. Given an initial estimator for the targeting parameter (some simple…

统计方法学 · 统计学 2020-09-29 Yisha Yao

Two-step estimators often called upon to fit censored regression models in many areas of science and engineering. Since censoring incurs a bias in the naive least-squares fit, a two-step estimator first estimates the bias and then fits a…

统计方法学 · 统计学 2014-03-17 Yuekai Sun , Jonathan E. Taylor

This paper develops some objective priors for certain parameters of the bivariate normal distribution. The parameters considered are the regression coefficient, the generalized variance, and the ratio of the conditional variance of one…

统计理论 · 数学 2008-12-18 Malay Ghosh , Upasana Santra , Dalho Kim

Marginal expected shortfall is unquestionably one of the most popular systemic risk measures. Studying its extreme behaviour is particularly relevant for risk protection against severe global financial market downturns. In this context,…

统计理论 · 数学 2023-04-18 Simone A. Padoan , Stefano Rizzelli , Matteo Schiavone

This paper develops a methodology for approximating the posterior first two moments of the posterior distribution in Bayesian inference. Partially specified probability models, which are defined only by specifying means and variances, are…

统计方法学 · 统计学 2009-01-27 K. Triantafyllopoulos , P. J. Harrison

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

A new method is proposed for the correction of confidence intervals when the original interval does not have the correct nominal coverage probabilities in the frequentist sense. The proposed method is general and does not require any…

统计计算 · 统计学 2013-08-30 P. Menendez , Y. Fan , P. H. Garthwaite , S. A. Sisson

The purpose of this paper is to propose methodologies for statistical inference of low-dimensional parameters with high-dimensional data. We focus on constructing confidence intervals for individual coefficients and linear combinations of…

统计方法学 · 统计学 2012-11-05 Cun-Hui Zhang , Stephanie S. Zhang

Reliable confidence measures of metrics derived from medical imaging reconstruction pipelines would improve the standard of decision-making in many clinical workflows. Conformal Prediction (CP) provides a robust framework for producing…

By employing various empirical estimators for the Mutual Information (MI) measure, we calculate and compare the estimates and their confidence intervals for both normal and non-normal bivariate data samples. We find that certain nonlinear…

信息论 · 计算机科学 2024-10-10 Theo Grigorenko , Leo Grigorenko

Regulatory authorities guide the use of permutation tests or randomization tests so as not to increase the type-I error rate when applying covariate-adaptive randomization in randomized clinical trials. For non-inferiority and equivalence…

应用统计 · 统计学 2023-12-27 Masahiro Kojima , Hirotaka Mano , Kana Yamada , Keisuke Hanada , Yuji Tanaka , Junji Moriya

The mean field variational Bayes (VB) algorithm implemented in Stan is relatively fast and efficient, making it feasible to produce model-estimated official statistics on a rapid timeline. Yet, while consistent point estimates of parameters…

统计方法学 · 统计学 2024-07-08 Terrance D. Savitsky , Julie Gershunskaya

In this article we present very intuitive, easy to follow, yet mathematically rigorous, approach to the so called data fitting process. Rather than minimizing the distance between measured and simulated data points, we prefer to find such…

数据分析、统计与概率 · 物理学 2017-08-07 Marek W. Gutowski

In this paper we first provide a method to compute confidence intervals for the center of a piecewise normal distribution given a sample from this distribution, under certain assumptions. We then extend this method to an asymptotic setting,…

最优化与控制 · 数学 2022-08-08 Shu Lu , Hongsheng Liu
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