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The concept of signature is a useful tool in the analysis of semicoherent systems with continuous and i.i.d. component lifetimes, especially for the comparison of different system designs and the computation of the system reliability. For…

Probability · Mathematics 2015-07-23 Jean-Luc Marichal

Investigation of the reliability of technical systems is one of the application areas of stochastic processes. The reliability of a technical system is based on two main elements. The first is the connection type of the system, and the…

Optimization and Control · Mathematics 2024-05-22 Yunus Güral , Mehmet Gürcan

The systems that statisticians are asked to assess, such as nuclear weapons, infrastructure networks, supercomputer codes and munitions, have become increasingly complex. It is often costly to conduct full system tests. As such, we present…

Methodology · Statistics 2009-09-29 Alyson G. Wilson , Todd L. Graves , Michael S. Hamada , C. Shane Reese

The operation of a system, such as a vehicle, communication network or automatic process, heavily depends on the correct operation of its components. A Stochastic Binary System (SBS) mathematically models the behavior of on-off systems,…

Discrete Mathematics · Computer Science 2020-11-05 Héctor Cancela , Gustavo Guerberoff , Franco Robledo , Pablo Romero

Predictive Maintenance (PdM) can only be implemented when the online knowledge of system condition is available, and this has become available with deployment of on-equipment sensors. To date, most studies on predicting the remaining useful…

Systems and Control · Computer Science 2020-03-25 Dongjin Lee , Rong Pan

In a coherent reliability system composed of multiple components configured according to a specific structure function, the distribution of system time to failure, or system lifetime, is often of primary interest. Accurate estimation of…

Methodology · Statistics 2025-09-19 Beidi Qiang , Edsel Pena

The subsignatures of a system with continuous and exchangeable component lifetimes form a class of indexes ranging from the Samaniego signature to the Barlow-Proschan importance index. These indexes can be computed through explicit linear…

Probability · Mathematics 2014-08-05 Jean-Luc Marichal

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 a system, there are identical replaceable components working for a given task and a failed component is replaced by a functioning one in the corresponding position, which characterizes a repairable system. Assuming that a replaced…

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…

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

The structure signature of a system made up of $n$ components having continuous and i.i.d. lifetimes was defined in the eighties by Samaniego as the $n$-tuple whose $k$-th coordinate is the probability that the $k$-th component failure…

Probability · Mathematics 2017-07-11 Jean-Luc Marichal , Pierre Mathonet , Jorge Navarro , Christian Paroissin

The precise design of a system may be considered a trade secret which should be protected, whilst at the same time component manufacturers are sometimes reluctant to release full test data (perhaps only providing mean time to failure data).…

Cryptography and Security · Computer Science 2016-04-19 Louis J. M. Aslett

Estimating probability of failure in aerospace systems is a critical requirement for flight certification and qualification. Failure probability estimation involves resolving tails of probability distribution, and Monte Carlo sampling…

Numerical Analysis · Mathematics 2022-09-22 S. Ashwin Renganathan , Vishwas Rao , Ionel M. Navon

Due to the vulnerability of civilian global positioning system (GPS) signals, the accuracy of phasor measurement units (PMUs) can be greatly compromised by GPS spoofing attacks (GSAs), which introduce phase shifts into true phase angle…

Systems and Control · Electrical Eng. & Systems 2020-02-26 Ying Zhang , Jianhui Wang , Jianzhe Liu

New model of software safety is offered. Distribution of mistakes in program on stages of life cycle is researched. Study of ways of increase of reliability of software at help simulation program is leaded.

Software Engineering · Computer Science 2008-07-02 Arkadiy Khandjian

Obviously, the dynamism of software reliability research has speeded up significantly in the last period, and we can state the fact that its intensity is approaching, and in some cases is ahead of the information systems hardware…

Software Engineering · Computer Science 2020-03-06 Anton Petrov , Elena Popova , Alexander Petrov

An imprecise Bayesian nonparametric approach to system reliability with multiple types of components is developed. This allows modelling partial or imperfect prior knowledge on component failure distributions in a flexible way through…

Methodology · Statistics 2016-09-19 Gero Walter , Louis J. M. Aslett , Frank P. A. Coolen

This paper demonstrates the concept of probabilistic stability assessment on large-signal stability in the use case of short circuits in an active distribution grid. Here, the concept of survivability is applied, which extends classical…

Systems and Control · Electrical Eng. & Systems 2021-06-18 Sebastian Liemann , Lia Strenge , Paul Schultz , Holm Hinners , Johannis Porst , Marcel Sarstedt , Frank Hellmann

The cluster distributions of different systems are examined to search for signatures of a continuous phase transition. In a system known to possess such a phase transition, both sensitive and insensitive signatures are present; while in…

Nuclear Experiment · Physics 2009-10-31 J. B. Elliott , the EOS Collaboration
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