Reliability Estimation in Coherent Systems

Agatha Rodrigues, Carlos Alberto de Bragança Pereira, Adriano Polpo

Research output: Book/ReportBook

4 Downloads (Pure)

Abstract

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. We will treat the reliability estimation of complex problems of two classes of coherent systems: series-parallel, and parallel-series. In both of the cases, the component reliabilities may be unknown. We will present estimators for reliability functions at all levels of the system (component and system reliabilities). Nonparametric Bayesian estimators of all sub-distribution and distribution functions are derived, and a Dirichlet multivariate process as a prior distribution is presented. Parametric estimator of the component's reliability based on Weibull model is presented for any kind of system. Also, some ideas in systems with masked data are discussed.
Original languageEnglish
Place of PublicationUSA
PublisherarXiv
Number of pages95
Publication statusPublished - 26 May 2018
Externally publishedYes

Fingerprint

Distribution functions
Engineers

Cite this

Rodrigues, A., Pereira, C. A. D. B., & Polpo, A. (2018). Reliability Estimation in Coherent Systems. USA: arXiv.
Rodrigues, Agatha ; Pereira, Carlos Alberto de Bragança ; Polpo, Adriano. / Reliability Estimation in Coherent Systems. USA : arXiv, 2018. 95 p.
@book{154fd742928e4e5a866704af541722c0,
title = "Reliability Estimation in Coherent Systems",
abstract = "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. We will treat the reliability estimation of complex problems of two classes of coherent systems: series-parallel, and parallel-series. In both of the cases, the component reliabilities may be unknown. We will present estimators for reliability functions at all levels of the system (component and system reliabilities). Nonparametric Bayesian estimators of all sub-distribution and distribution functions are derived, and a Dirichlet multivariate process as a prior distribution is presented. Parametric estimator of the component's reliability based on Weibull model is presented for any kind of system. Also, some ideas in systems with masked data are discussed.",
author = "Agatha Rodrigues and Pereira, {Carlos Alberto de Bragan{\cc}a} and Adriano Polpo",
year = "2018",
month = "5",
day = "26",
language = "English",
publisher = "arXiv",
address = "United States",

}

Rodrigues, A, Pereira, CADB & Polpo, A 2018, Reliability Estimation in Coherent Systems. arXiv, USA.

Reliability Estimation in Coherent Systems. / Rodrigues, Agatha; Pereira, Carlos Alberto de Bragança; Polpo, Adriano.

USA : arXiv, 2018. 95 p.

Research output: Book/ReportBook

TY - BOOK

T1 - Reliability Estimation in Coherent Systems

AU - Rodrigues, Agatha

AU - Pereira, Carlos Alberto de Bragança

AU - Polpo, Adriano

PY - 2018/5/26

Y1 - 2018/5/26

N2 - 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. We will treat the reliability estimation of complex problems of two classes of coherent systems: series-parallel, and parallel-series. In both of the cases, the component reliabilities may be unknown. We will present estimators for reliability functions at all levels of the system (component and system reliabilities). Nonparametric Bayesian estimators of all sub-distribution and distribution functions are derived, and a Dirichlet multivariate process as a prior distribution is presented. Parametric estimator of the component's reliability based on Weibull model is presented for any kind of system. Also, some ideas in systems with masked data are discussed.

AB - 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. We will treat the reliability estimation of complex problems of two classes of coherent systems: series-parallel, and parallel-series. In both of the cases, the component reliabilities may be unknown. We will present estimators for reliability functions at all levels of the system (component and system reliabilities). Nonparametric Bayesian estimators of all sub-distribution and distribution functions are derived, and a Dirichlet multivariate process as a prior distribution is presented. Parametric estimator of the component's reliability based on Weibull model is presented for any kind of system. Also, some ideas in systems with masked data are discussed.

M3 - Book

BT - Reliability Estimation in Coherent Systems

PB - arXiv

CY - USA

ER -

Rodrigues A, Pereira CADB, Polpo A. Reliability Estimation in Coherent Systems. USA: arXiv, 2018. 95 p.