A note on comparisons among coherent systems with dependent components using signatures
type: Item
instance of: scholarly article
title: A note on comparisons among coherent systems with dependent components using signatures
zbMATH Open document ID: 1068.60026
author: Jorge Navarro
author: Carlos J. Sandoval
author: José M. Ruiz
published in: Statistics \& Probability Letters
publication date: 2005-06-01T00:00:00Z
review text: \textit{S. Kochar, H. Mukerjee} and \textit{F. J. Samaniego} [Nav. Res. Logist. 46, No. 5, 507--523 (1999; Zbl 0948.90067)] obtained some results that stochastically compare the lifetimes of coherent systems with independent and identically distributed component lifetimes. The authors extend the results to coherent systems with (possibly) dependent component lifetimes. The notion of the Samaniego's signatures is used in the derivation of the new results.
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60K10
Mathematics Subject Classification ID: 62N05
zbMATH DE Number: 2173485
zbMATH Keywords: Ordering
zbMATH Keywords: \(k\)-out-of-\(n\) systems
zbMATH Keywords: Order statistics
reviewed by: Moshe Shaked
MaRDI profile type: Publication
full work available at URL: j.spl.2004.12.017
OpenAlex ID: W2004567334
cites work: Q4158362
cites work: Signatures of indirect majority systems
cites work: Coherent Life Functions
cites work: Comparison of order statistics between dependent and independent random variables
cites work: Q5624248
cites work: Q4266756
cites work: Distribution and expectation bounds on order statistics from possibly dependent variates
cites work: Distributions and expectations of order statistics for possibly dependent random variables
cites work: Bounds for order statistics based on dependent variables with given nonidentical distributions
cites work: Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples
cites work: On Closure of the IFR Class Under Formation of Coherent Systems
cites work: Q4301147
cites work: On the Comparison of Reliability Experiments Based on the Convolution Order
DOI: 10.1016/J.SPL.2004.12.017
description: scientific article; zbMATH DE number 2173485