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This paper proposes a gamma process for modelling the damage that accumulates over time in the lumber used in structural engineering applications when stress is applied. The model separates the stochastic processes representing features…

Applications · Statistics 2017-08-25 Samuel W. K. Wong , James V. Zidek

This paper evaluates the reliability of lumber, accounting for the duration-of-load (DOL) effect under different load profiles based on a multimodel Bayesian approach. Three individual DOL models previously used for reliability assessment…

Applications · Statistics 2021-10-25 Yunfeng Yang , Martin Lysy , Samuel W. K. Wong

This paper develops a framework for creating damage accumulation models for engineered wood products by invoking the classical theory of non--dimensionalization. The result is a general class of such models. Both the US and Canadian damage…

Applications · Statistics 2017-08-11 Samuel W. K. Wong , James V. Zidek

Lumber and wood-based products are versatile construction materials that are susceptible to weakening as a result of applied stresses. To assess the effects of load duration and rate, experiments have been carried out by applying preset…

Applications · Statistics 2020-02-11 Samuel W. K. Wong

Engineered timber is pivotal to low-carbon construction, but moisture uptake during its service life can compromise structural reliability and impede reuse within a circular economy model. Despite growing interest, quantitative standards…

Applications · Statistics 2025-06-16 Yiping Meng , Chulin Jiang , Courtney Jayne Scurr , Farzad Pour Rahimian , David Hughes

We harness the power of Bayesian emulation techniques, designed to aid the analysis of complex computer models, to examine the structure of complex Bayesian analyses themselves. These techniques facilitate robust Bayesian analyses and/or…

Methodology · Statistics 2017-03-06 Ian Vernon , John Paul Gosling

Structural elements made of laminated hardwood are increasingly used in timber engineering. In this combined numerical and experimental approach, damage onset and propagation in uni-directional and cross-laminated samples out of European…

Materials Science · Physics 2015-03-16 Mohammad Masoud Hassani , Falk K. Wittel , Samuel Ammann , Peter Niemz , Hans J. Herrmann

We discuss an approach for deriving robust posterior distributions from $M$-estimating functions using Approximate Bayesian Computation (ABC) methods. In particular, we use $M$-estimating functions to construct suitable summary statistics…

Methodology · Statistics 2019-06-13 Erlis Ruli , Nicola Sartori , Laura Ventura

Robust Bayesian models are appealing alternatives to standard models, providing protection from data that contains outliers or other departures from the model assumptions. Historically, robust models were mostly developed on a case-by-case…

Machine Learning · Statistics 2016-09-08 Chong Wang , David M. Blei

Classic Bayesian methods with complex models are frequently infeasible due to an intractable likelihood. Simulation-based inference methods, such as Approximate Bayesian Computing (ABC), calculate posteriors without accessing a likelihood…

Computation · Statistics 2026-01-09 Elliot Maceda , Emily C. Hector , Amanda Lenzi , Brian J. Reich

Approximate Bayesian Computation (ABC) is a statistical learning technique to calibrate and select models by comparing observed data to simulated data. This technique bypasses the use of the likelihood and requires only the ability to…

Computation · Statistics 2021-05-04 Pierre-Olivier Goffard , Patrick J. Laub

In this paper authors present a general methodology for age dependent reliability analysis of degrading or ageing systems, structures and components.The methodology is based on Bayesian methods and inference, its ability to incorporate…

Applications · Statistics 2012-10-19 Robertas Alzbutas , Tomas Iešmantas

Survival models are used to analyze time-to-event data in a variety of disciplines. Proportional hazard models provide interpretable parameter estimates, but proportional hazards assumptions are not always appropriate. Non-parametric models…

Methodology · Statistics 2022-07-08 Richard D. Payne , Nilabja Guha , Bani K. Mallick

Degradation data are considered for assessing reliability in highly reliable systems. The usual assumption is that degradation units come from a homogeneous population. But in presence of high variability in the manufacturing process, this…

Methodology · Statistics 2026-01-15 Barin Karmakar , Biswabrata Pradhan

Sensor-based degradation signals measure the accumulation of damage of an engineering system using sensor technology. Degradation signals can be used to estimate, for example, the distribution of the remaining life of partially degraded…

Applications · Statistics 2011-07-29 Rensheng R. Zhou , Nicoleta Serban , Nagi Gebraeel

A novel data-driven methodology is presented for the joint selection of prior parameters for both fixed and random effects in Linear Mixed Models (LMMs). This approach facilitates the estimation of complex random-effects structures, as well…

Methodology · Statistics 2026-04-28 Matteo Amestoy , R. Vermeulen , Mark A. van de Wiel , Wessel N. van Wieringen

Bayesian hierarchical models are proposed for modeling tropical cyclone characteristics and their damage potential in the Atlantic basin. We model the joint probability distribution of tropical cyclone characteristics and their damage…

Applications · Statistics 2025-06-13 Lindsey Dietz , Sakshi Arya , Vishal Subedi , Auroop R. Ganguly , Snigdhansu Chatterjee

Data-informed predictive maintenance planning largely relies on stochastic deterioration models. Monitoring information can be utilized to update sequentially the knowledge on time-invariant deterioration model parameters either within an…

Computation · Statistics 2023-08-02 Antonios Kamariotis , Luca Sardi , Iason Papaioannou , Eleni Chatzi , Daniel Straub

By the nature of their construction, many statistical models for extremes result in likelihood functions that are computationally prohibitive to evaluate. This is consequently problematic for the purposes of likelihood-based inference. With…

Methodology · Statistics 2014-11-07 Robert Erhardt , Scott A. Sisson

This paper provides a review of Approximate Bayesian Computation (ABC) methods for carrying out Bayesian posterior inference, through the lens of density estimation. We describe several recent algorithms and make connection with traditional…

Computation · Statistics 2019-09-09 Clara Grazian , Yanan Fan
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