A new concept of reliability system and applications in finance

Cerqueti, Roy

doi:10.1007/s10479-021-04150-9

Cited by 5 publications

(2 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The heterogeneous case is more challenging. Cases with random and mutually independent weights can be found in [33], [34], [35], [36], [37], [38], [39], [40], [41], and [42]. In all the cases, prediction of the failure times of k-out-of-n systems has seen the development of several methods and is widely debated among scholars.…”

Section: Literature Reviewmentioning

confidence: 99%

Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems

Andersen¹,

Cerqueti²,

Riccioni³

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

Section: Literature Reviewmentioning

confidence: 99%

Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems

Andersen¹,

Cerqueti²,

Riccioni³

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…Zhang [28] examined the reliability analysis of k-out-of-n systems with heterogeneous components. By Cerqueti [29], who also introduced and studied the usual k-out-of-n systems, it is predicted that each component's part in anticipating the system's failure is distinct. In a typical system reliability analysis, the state of a system and unit are usually taken to be normal or entirely failed.…”

Section: Introductionmentioning

confidence: 99%

A comparative review of solution methods and techniques for analyzing reliability in the transient state

2023

RNA

View full text Add to dashboard Cite

The primary goal of this comparative study is to address various solution methods and techniques for transient analysis of a three-component system's reliability. To analyse the system's transient reliability, a Markov model is used. To determine the outcome of the differential equations of a three-component system in the transient state, three methods are used: the Laplace Transform method, the Matrix approach, and simple integration. These procedures are executed that has been reviewed using MATLAB 7.8.0 (R2009a). These tools and numerical methods offer a more reliable mathematical framework and methodology for evaluating the transient reliability of the system. The introduction of these techniques is useful for researchers to assess reliability and availability in large scale systems.

show abstract

Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems

2023

View full text Add to dashboard Cite

This paper develops a model for predicting the failure time of a wide class of weighted k-out-of-n reliability systems. To this aim, we adopt a rational expectation-type approach by artificially creating an information set based on the observation of a collection of systems of the same class–the catalog. Specifically, we state the connection between a synthetic statistical measure of the survived components’ weights and the failure time of the systems. In detail, we follow the evolution of the systems in the catalog from the starting point to their failure–obtained after the failure of some of their components. Then, we store the couples given by the measure of the survived components and the failure time. Finally, we employ such couples for having a prediction of the failure times of a set of new systems–the in-vivo systems–conditioned on the specific values of the considered statistical measure. We test different statistical measures for predicting the failure time of the in-vivo systems. As a result, we give insights on the statistical measure which is more effective in contributing to providing a reliable estimation of the systems’ failure time. A discussion on the initial distribution of the weights is also carried out.

show abstract

A new concept of reliability system and applications in finance

Cited by 5 publications

References 54 publications

Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems

Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems

A comparative review of solution methods and techniques for analyzing reliability in the transient state

Rational expectations as a tool for predicting failure of weighted k-out-of-n reliability systems

Contact Info

Product

Resources

About