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This paper presents a hierarchical Bayesian approach to the estimation of components' reliability (survival) using a Weibull model for each of them. The proposed method can be used to estimation with general survival censored data, because…

Methodology · Statistics 2014-07-17 Felipe L. Bhering , Carlos A. de B. Pereira , Adriano Polpo

The failure rate function plays an important role in studying the lifetime distributions in reliability theory and life testing models. A study of the general failure rate model $r(t)=a+bt^{\theta-1}$, under squared error loss function…

Computation · Statistics 2014-05-23 Asok K. Nanda , Sudhansu S. Maiti , Chanchal Kundu , Amarjit Kundu

This work develops a measurement-driven and model-based formal verification approach, applicable to systems with partly unknown dynamics. We provide a principled method, grounded on reachability analysis and on Bayesian inference, to…

Systems and Control · Computer Science 2015-09-14 Sofie Haesaert , Paul M. J. Van den Hof , Alessandro Abate

In this paper, we study the robustness of network topologies. We use the concept of percolation as measuring tool to assess the reliability polynomial of those systems which can be modeled as a general inhomogeneous random graph as well as…

Statistics Theory · Mathematics 2017-11-02 Farkhondeh A. Sajadi

Bayesian sociality models provide a scalable and flexible alternative for network analysis, capturing degree heterogeneity through actor-specific parameters while mitigating the identifiability challenges of latent space models. This paper…

Methodology · Statistics 2025-03-20 Juan Sosa , Carlo Martínez

Competitor rating systems for head-to-head games are typically used to measure playing strength from game outcomes. Ratings computed from these systems are often used to select top competitors for elite events, for pairing players of…

Methodology · Statistics 2025-07-14 Mark E. Glickman

If a Micro Processor Unit (MPU) receives an external electric signal as noise, the system function will freeze or malfunction easily. A new resilience strategy is implemented in order to reset the MPU automatically and stop the MPU from…

Software Engineering · Computer Science 2014-05-08 Ling Fang , Yoriyuki Yamagata , Yutaka Oiwa

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…

Methodology · Statistics 2020-11-10 Ryan Chen , Javier Cabrera

Data-driven risk analysis involves the inference of probability distributions from measured or simulated data. In the case of a highly reliable system, such as the electricity grid, the amount of relevant data is often exceedingly limited,…

Methodology · Statistics 2017-07-11 Simon H. Tindemans , Goran Strbac

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Load forecasting is essential for the efficient, reliable, and cost-effective management of power systems. Load forecasting performance can be improved by learning the similarities among multiple entities (e.g., regions, buildings).…

Machine Learning · Statistics 2025-02-07 Onintze Zaballa , Verónica Álvarez , Santiago Mazuelas

We describe a Bayesian approach to estimating luminosity functions. We derive the likelihood function and posterior probability distribution for the luminosity function, given the observed data, and we compare the Bayesian approach with…

Astrophysics · Physics 2009-11-13 Brandon C. Kelly , Xiaohui Fan , Marianne Vestergaard

We present a methodology for probabilistic load forecasting that is based on lasso (least absolute shrinkage and selection operator) estimation. The model considered can be regarded as a bivariate time-varying threshold autoregressive(AR)…

Applications · Statistics 2016-07-13 Florian Ziel , Bidong Liu

Reliability analysis is a sub-field of uncertainty quantification that assesses the probability of a system performing as intended under various uncertainties. Traditionally, this analysis relies on deterministic models, where experiments…

Computation · Statistics 2026-05-19 Anderson V. Pires , Maliki Moustapha , Stefano Marelli , Bruno Sudret

We consider a network consisting of $n$ components (links or nodes) and assume that the network has two states, up and down. We further suppose that the network is subject to shocks that appear according to a counting process and that each…

Applications · Statistics 2015-07-16 S. Zarezadeh , S. Ashrafi , M. Asadi

This paper consider the problem of determining the reliability of a software system which can be decomposed in a number of modules. We have derived the expression of the reliability of a system using the Markovian model for the transfer of…

Applications · Statistics 2009-08-21 Rudrani Banerjee , Angshuman Sarkar

The increasing demand of large scale wind integration in the conventional power system brings a lot of challenges. One of them is the stability of the power system when subjected to a large disturbance, such as a fault. This paper proposes…

Systems and Control · Electrical Eng. & Systems 2022-05-10 Umair Shahzad

Evaluating resilience in electric distribution systems under severe weather requires models that can connect network topology, hazard simulation, fragility modeling, restoration assumptions, repair strategy, and downstream consequences.…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Xuesong Wang , Caisheng Wang , Carol Miller , Amir Shahin Kamjou , John Norton

Security is one of the biggest concern in power system operation. Recently, the emerging cyber security threats to operational functions of power systems arouse high public attention, and cybersecurity vulnerability thus become an emerging…

Systems and Control · Electrical Eng. & Systems 2020-03-13 Chunyu Chen , Yang Chen , Kaifeng Zhang , Wenjun Bi , Meng Tian

Energy landscape analysis is a data-driven method to analyze multidimensional time series, including functional magnetic resonance imaging (fMRI) data. It has been shown to be a useful characterization of fMRI data in health and disease. It…

Neurons and Cognition · Quantitative Biology 2024-08-21 Pitambar Khanra , Johan Nakuci , Sarah Muldoon , Takamitsu Watanabe , Naoki Masuda