Exact Nonparametric Inference for Component and System Lifetime Distributions Based on Joint Signatures

Narayanaswamy Balakrishnan; William Volterman

doi:10.1109/TR.2015.2458853

Exact Nonparametric Inference for Component and System Lifetime Distributions Based on Joint Signatures

Narayanaswamy Balakrishnan, William Volterman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Based on the observed lifetimes of two systems with shared components, we construct exact nonparametric confidence intervals for quantiles of component and system lifetimes using the minimum and maximum lifetimes, as well as by using all component lifetimes. The coverage probabilities and expected widths of these confidence intervals are then compared for several signature matrices and sample sizes.

Original language	English (US)
Article number	7210230
Pages (from-to)	179-186
Number of pages	8
Journal	IEEE Transactions on Reliability
Volume	65
Issue number	1
DOIs	https://doi.org/10.1109/TR.2015.2458853
State	Published - Mar 2016

Keywords

Coherent system
joint signature
nonparametric
quantile
system signature

ASJC Scopus subject areas

Safety, Risk, Reliability and Quality
Electrical and Electronic Engineering

Access to Document

10.1109/TR.2015.2458853

Cite this

@article{65cbdac623d1434a87f1e670ed0fa88e,

title = "Exact Nonparametric Inference for Component and System Lifetime Distributions Based on Joint Signatures",

abstract = "Based on the observed lifetimes of two systems with shared components, we construct exact nonparametric confidence intervals for quantiles of component and system lifetimes using the minimum and maximum lifetimes, as well as by using all component lifetimes. The coverage probabilities and expected widths of these confidence intervals are then compared for several signature matrices and sample sizes.",

keywords = "Coherent system, joint signature, nonparametric, quantile, system signature",

author = "Narayanaswamy Balakrishnan and William Volterman",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.",

year = "2016",

month = mar,

doi = "10.1109/TR.2015.2458853",

language = "English (US)",

volume = "65",

pages = "179--186",

journal = "IEEE Transactions on Reliability",

issn = "0018-9529",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "1",

}

TY - JOUR

T1 - Exact Nonparametric Inference for Component and System Lifetime Distributions Based on Joint Signatures

AU - Balakrishnan, Narayanaswamy

AU - Volterman, William

PY - 2016/3

Y1 - 2016/3

N2 - Based on the observed lifetimes of two systems with shared components, we construct exact nonparametric confidence intervals for quantiles of component and system lifetimes using the minimum and maximum lifetimes, as well as by using all component lifetimes. The coverage probabilities and expected widths of these confidence intervals are then compared for several signature matrices and sample sizes.

AB - Based on the observed lifetimes of two systems with shared components, we construct exact nonparametric confidence intervals for quantiles of component and system lifetimes using the minimum and maximum lifetimes, as well as by using all component lifetimes. The coverage probabilities and expected widths of these confidence intervals are then compared for several signature matrices and sample sizes.

KW - Coherent system

KW - joint signature

KW - nonparametric

KW - quantile

KW - system signature

UR - http://www.scopus.com/inward/record.url?scp=84939643859&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84939643859&partnerID=8YFLogxK

U2 - 10.1109/TR.2015.2458853

DO - 10.1109/TR.2015.2458853

M3 - Article

AN - SCOPUS:84939643859

SN - 0018-9529

VL - 65

SP - 179

EP - 186

JO - IEEE Transactions on Reliability

JF - IEEE Transactions on Reliability

IS - 1

M1 - 7210230

ER -

Exact Nonparametric Inference for Component and System Lifetime Distributions Based on Joint Signatures

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this