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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

Usually, methods evaluating system reliability require engineers to quantify the reliability of each of the system components. For series and parallel systems, there are some options to handle the estimation of each component's reliability.…

Methodology · Statistics 2018-05-29 Agatha Rodrigues , Carlos Alberto Pereira , Adriano Polpo

We do the error analysis in reliability measures due to the assumption of independence amongst the component lifetimes. In reliability theory, we come across different n-component structures like series, parallel, and k-out-of-n systems. A…

Statistics Theory · Mathematics 2024-03-11 Subarna Bhattacharjee , Aninda K. Nanda , Subhasree Patra

The production network under examination consists of a number of workstations. Each workstation is a parallel configuration of machines performing the same kind of tasks on a given part. Parts move from one workstation to another and at…

Applications · Statistics 2019-09-20 Abraham Gutierrez , Sebastian Mueller

Many product lines are critical, and therefore reliability is a vital part of their requirements. Reliability is a probabilistic property. We therefore propose a model for feature-aware discrete-time Markov chains as a basis for verifying…

Software Engineering · Computer Science 2013-11-07 Maxime Cordy , Patrick Heymans , Pierre-Yves Schobbens , Amir Molzam Sharifloo , Carlo Ghezzi , Axel Legay

We consider systems whose lifetime is measured by the time of physical degradation of components, as well as the degree of power each component contributes to the system. The lifetimes of the components of the system are random variables.…

Probability · Mathematics 2025-01-27 Ismihan Bayramoglu

This paper describes a novel approach based on "proportional imputation" when identical units produced in a batch have random but independent installation and failure times. The current problem is motivated by a real life industrial…

Applications · Statistics 2011-01-10 Samiran Ghosh

The reliability of a system of components depends on reliability of each component. Thus, the initial statistical work should be the estimation of the reliability of each component of the system. This is not an easy task because when the…

Reliability inference based on parametric distributions is an important problem in electrical and mechanical engineering. Most existing methods rely on approximations or bootstrap procedures, which may not perform satisfactorily when data…

Methodology · Statistics 2026-04-15 Bowen Liu , Malwane M. A. Ananda , Sam Weerahandi

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

Cold standby 1-out-of-n redundant systems are well-established models in system reliability engineering. To date, reliability analyses of such systems have predominantly assumed exponential, Erlang, or Weibull failure distributions for…

Applications · Statistics 2025-12-30 Afshin Yaghoubi , Esmaile Khorram , Omid Naghshineh Arjmand

Aiming for accurate estimation of system reliability of load-sharing systems, a flexible model for such systems is constructed by approximating the cumulative hazard functions of component lifetimes using piecewise linear functions. The…

Methodology · Statistics 2023-01-05 Shilpi Biswas , Ayon Ganguly , Debanjan Mitra

In reliability and life testing when the exponentially distributed components are put in series, it is generally assumed that the lifetimes of the components are independently distributed, which leads to some errors if they are not actually…

Statistics Theory · Mathematics 2019-02-26 Asok K. Nanda , Sanjib Gayen , Shovan Chowdhury

In this paper, we study reliability properties of a k-out-of-n system with a single cold standby unit. We mainly focus on the case when the system operates in discrete time. In order to describe its aging behavior we consider three…

Probability · Mathematics 2019-11-28 Anna Dembińska , Nikolay I. Nikolov , Eugenia Stoimenova

Manufacturers are required to demonstrate products meet reliability targets. A typical way to achieve this is with reliability demonstration tests (RDTs), in which a number of products are put on test and the test is passed if a target…

Methodology · Statistics 2019-05-22 Kevin James Wilson , Malcolm Farrow

Software reliability analysis is performed at various stages during the process of engineering software as an attempt to evaluate if the software reliability requirements have been (or might be) met. In this report, I present a summary of…

Software Engineering · Computer Science 2013-04-17 Ganesh J. Pai

We propose a classification of measurement apparatuses based on their reliability and accessibility. Our notion of reliability parameterises the possibility of getting unexpected wrong results when using the apparatus in a given time…

Quantum Physics · Physics 2024-07-26 Nicola Pranzini , Paola Verrucchi

Many planning and decision activities in logistics and supply chain management are based on forecasts of multiple time dependent factors. Therefore, the quality of planning depends on the quality of the forecasts. We compare various…

Machine Learning · Statistics 2024-06-07 Lena Schmid , Moritz Roidl , Markus Pauly

Reliability assessment of distribution system, based on historical data and probabilistic methods, leads to an unreliable estimation of reliability indices since the data for the distribution components are usually inaccurate or…

Artificial Intelligence · Computer Science 2017-07-17 Ahmad Shokrollahi , Hossein Sangrody , Mahdi Motalleb , Mandana Rezaeiahari , Elham Foruzan , Fattah Hassanzadeh

A long noted difficulty when assessing the reliability (or calibration) of forecasting systems is that reliability, in general, is a hypothesis not about a finite dimensional parameter but about an entire functional relationship. A…

Data Analysis, Statistics and Probability · Physics 2020-12-09 Jochen Bröcker
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