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Within a Bayesian decision theoretic framework we investigate some asymptotic optimality properties of a large class of multiple testing rules. A parametric setup is considered, in which observations come from a normal scale mixture model…

Statistics Theory · Mathematics 2012-11-22 Małgorzata Bogdan , Arijit Chakrabarti , Florian Frommlet , Jayanta K. Ghosh

Models of biological systems often have many unknown parameters that must be determined in order for model behavior to match experimental observations. Commonly-used methods for parameter estimation that return point estimates of the…

Quantitative Methods · Quantitative Biology 2018-01-31 Sanjana Gupta , Liam Hainsworth , Justin S. Hogg , Robin E. C. Lee , James R. Faeder

Analysis of competing risks data plays an important role in the lifetime data analysis. Recently Feizjavadian and Hashemi (Computational Statistics and Data Analysis, vol. 82, 19-34, 2015) provided a classical inference of a competing risks…

Methodology · Statistics 2021-05-04 Debashis Samanta , Debasis Kundu

Because stress is subjective and is expressed differently from one person to another, generic stress prediction models (i.e., models that predict the stress of any person) perform crudely. Only person-specific ones (i.e., models that…

Human-Computer Interaction · Computer Science 2020-01-01 Kizito Nkurikiyeyezu , Anna Yokokubo , Guillaume Lopez

Performing optimal Bayesian design for discriminating between competing models is computationally intensive as it involves estimating posterior model probabilities for thousands of simulated datasets. This issue is compounded further when…

Methodology · Statistics 2022-04-07 Markus Hainy , David J. Price , Olivier Restif , Christopher Drovandi

Bayesian model updating facilitates the calibration of analytical models based on observations and the quantification of uncertainties in model parameters such as stiffness and mass. This process significantly enhances damage assessment and…

Applications · Statistics 2024-08-06 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

Extending Bayesian optimization to batch evaluation can enable the designer to make the most use of parallel computing technology. However, most of current batch approaches do not scale well with the batch size. That is, their performances…

Machine Learning · Computer Science 2025-04-25 Dawei Zhan , Zhaoxi Zeng , Shuoxiao Wei , Ping Wu

Robust global/goal-oriented error estimation is used nowadays to control the approximate finite element solutions obtained from simulation. In the context of Computational Mechanics, the construction of admissible stress fields (\ie stress…

Numerical Analysis · Mathematics 2017-04-25 Florent Pled , Ludovic Chamoin , Pierre Ladevèze

Under adaptive progressive Type-II censoring schemes, order restricted inference based on competing risks data is discussed in this article. The latent failure lifetimes for the competing causes are assumed to follow Weibull distributions,…

Methodology · Statistics 2022-05-10 Ayon Ganguly , Debanjan Mitra , Debasis Kundu

Interval censoring occurs when event times are only known to fall between scheduled assessments, a common design in clinical trials, epidemiology, and reliability studies. Standard right-censoring methods, such as Kaplan-Meier and Cox…

Methodology · Statistics 2025-09-04 J. T. Korley

A massively parallel method to build large transition rate matrices from temperature accelerated molecular dynamics trajectories is presented. Bayesian Markov model analysis is used to estimate the expected residence time in the known state…

Computational Physics · Physics 2018-05-30 Thomas D Swinburne , Danny Perez

Sequential trial design is an important statistical approach to increase the efficiency of clinical trials. Bayesian sequential trial design relies primarily on conducting a Monte Carlo simulation under the hypotheses of interest and…

Methodology · Statistics 2025-12-01 Riko Kelter , Samuel Pawel

Increasingly, medical research is dependent on data collected for non-research purposes, such as electronic health records data (EHR). EHR data and other large databases can be prone to measurement error in key exposures, and unadjusted…

Methodology · Statistics 2020-05-13 Kyunghee Han , Thomas Lumley , Bryan E. Shepherd , Pamela A. Shaw

This paper presents a Bayesian framework for assessing the adequacy of a model without the necessity of explicitly enumerating a specific alternate model. A test statistic is developed for tracking the performance of the model across…

Artificial Intelligence · Computer Science 2013-03-25 Kathryn Blackmond Laskey

This article describes the inferential procedures and Bayesian optimal life-testing issues under Type-II unified hybrid censoring scheme. First, the explicit expressions of expected number of failures, expected duration of testing and…

Statistics Theory · Mathematics 2020-04-14 Tanmay Sen , Ritwik Bhattacharya , Biswabrata Pradhan , Yogesh Mani Tripathi

A family of variable stage size multistage tests of simple hypotheses is described, based on efficient multistage sampling procedures. Using a loss function that is a linear combination of sampling costs and error probabilities, these tests…

Statistics Theory · Mathematics 2009-09-29 Jay Bartroff

This article is aimed at the investigation of some properties of the Weibull cumulative exposure model on multiple-step step-stress accelerated life test data. Although the model includes a probabilistic idea of Miner's rule in order to…

Statistics Theory · Mathematics 2012-10-23 Yoshio Komori

In Bayesian semi-parametric analyses of time-to-event data, non-parametric process priors are adopted for the baseline hazard function or the cumulative baseline hazard function for a given finite partition of the time axis. However, it…

Methodology · Statistics 2020-08-06 Yi Li , Sumi Seo , Kyu Ha Lee

We propose a sequential design method aiming at the estimation of an extreme quantile based on a sample of dichotomic data corresponding to peaks over a given threshold. This study is motivated by an industrial challenge in material…

Methodology · Statistics 2020-04-06 Michel Broniatowski , Emilie Miranda

In this paper we study the asymptotic properties of Bayesian multiple testing procedures for a large class of Gaussian scale mixture pri- ors. We study two types of multiple testing risks: a Bayesian risk proposed in Bogdan et al. (2011)…

Statistics Theory · Mathematics 2017-11-27 Jean-Bernard Salomond