Bandwidth of gamma-distribution-shaped functions via Lambert W function [0.03%]
Lambert W 函数在形状如 Γ 分布的函数的频宽中的应用
Anthony LoPrete,Johannes Burge
Anthony LoPrete
The full width at half maximum (FWHM) is a useful quantity for characterizing the bandwidth of unimodal functions. However, a closed-form expression for the FWHM of gamma-shaped functions - i.e. functions that are shaped like the gamma dist...
Vera Djordjilović,Tamar Sofer,Jonathan M Dreyfuss
Vera Djordjilović
Directional replicability addresses the question of whether an effect studied across n independent studies is present with the same direction in at least r of them, for r ≥ 2 . When the expected direction of the effect is not specifie...
Approximating win-loss probabilities based on the overall and event-free survival functions [0.03%]
基于总生存函数和无事件生存函数的胜率估计方法
Lu Mao
Lu Mao
Despite its growing popularity for hierarchical composite endpoints, the win ratio poses a challenge for meta-analysis, as earlier studies typically do not report such measures. In the absence of subject-level data, we show how to approxima...
Chaegeun Song,Bing Li
Chaegeun Song
We introduce a generalized Bayesian credible set that can achieve any preassigned credible level, addressing a limitation of the current credible sets. This is achieved by exploiting a connection between the highest posterior density set an...
On critical points of Gaussian random fields under diffeomorphic transformations [0.03%]
微分同胚下高斯随机域临界点的性质研究
Dan Cheng,Armin Schwartzman
Dan Cheng
Let { X ( t ) , t ∈ M } and Z t ' , t ' ∈ M ' be smooth Gaussian random fields parameterized on Riemannian manifolds M and M ' , respectively, such that X ( t ) = Z ( f ( t ) ) , where f : M → M ' is a diff...
Sambit Panda,Cencheng Shen,Ronan Perry et al.
Sambit Panda et al.
The K-sample testing problem involves determining whether K groups of data points are each drawn from the same distribution. Analysis of variance is arguably the most classical method to test mean differences, along with several recent meth...
A Bartlett-type correction for likelihood ratio tests with application to testing equality of Gaussian graphical models [0.03%]
一种似然比检验的Bartlett型校正及其在检验高斯图模型等同性中的应用
Erika Banzato,Monica Chiogna,Vera Djordjilović et al.
Erika Banzato et al.
This work defines a new correction for the likelihood ratio test for a two-sample problem within the multivariate normal context. This correction applies to decomposable graphical models, where testing equality of distributions can be decom...
Jeffrey Zhang,Wei Li,Wang Miao et al.
Jeffrey Zhang et al.
We consider identification and inference about a counterfactual outcome mean when there is unmeasured confounding using tools from proximal causal inference. Proximal causal inference requires existence of solutions to at least one of two i...
Stella Self,Melissa Nolan
Stella Self
Spatial scan statistics are commonly used to detect clustering. We present a Bayesian spatial scan statistic for multinomial data. After validating our method with a simulation study, we use it to detect clusters of SARS-CoV-2 infection/imm...
Identification of the outcome distribution and sensitivity analysis under weak confounder-instrument interaction [0.03%]
在弱的混杂因素-工具变量交互作用下，识别结果分布及敏感性分析
Lu Mao
Lu Mao
Recently, Wang and Tchetgen Tchetgen (2018) showed that the global average treatment effect is identifiable even in the presence of unmeasured confounders so long as they do not modify the instrument's additive effect on the treatment. We u...