Stochastic Comparisons Between Used Systems and Systems Made by Used Components

被引：9

作者：

Hazra, Nil Kamal ^{[2
]}

Nanda, Asok K. ^{[1
]}

机构：

[1] IISER Kolkata, Dept Math & Stat, Mohanpur 741246, India

[2] Indian Stat Inst, Appl Stat Unit, Kolkata 700108, India

来源：

IEEE TRANSACTIONS ON RELIABILITY | 2016年 / 65卷 / 02期

关键词：

Hazard rate function; inactivity time; k-out-of-n system; residual lifetime; reversed hazard rate function; stochastic orders; OF-N SYSTEMS; IDENTICALLY DISTRIBUTED COMPONENTS; COHERENT SYSTEMS; RESIDUAL LIFETIMES; NONIDENTICAL COMPONENTS; PARTIAL ORDERINGS; PARALLEL SYSTEMS; INACTIVITY TIMES; LIFE; RELIABILITY;

D O I：

10.1109/TR.2015.2484078

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In the literature, stochastic orders are used to compare the lifetimes of two coherent systems. We show that, under certain conditions, a coherent system made out of independent components, which have been used for some units of time, performs better (worse) than a used coherent system (i.e., a system is formed by some new independent components and then the system has been used for sometime) with respect to different stochastic orders. Some results on stochastic comparisons between a coherent system of inactive components and an inactive coherent system are also discussed.

引用

页码：751 / 762

页数：12

共 30 条

[1] On the Mean Residual Life Function of Coherent Systems [J].

Asadi, M. ;

Goliforushani, S. .

IEEE TRANSACTIONS ON RELIABILITY, 2008, 57 (04) :574-580

[2] A Proposed Measure of Residual Life of Live Components of a Coherent System [J].

Balakrishnan, Narayanaswamy ;

Asadi, Majid .

IEEE TRANSACTIONS ON RELIABILITY, 2012, 61 (01) :41-49

[3]

Barlow R. E., 1965, Statistical Theory of Reliability and Life Testing

[4] On partial orderings between coherent systems with different structures [J].

Belzunce, F ;

Franco, M ;

Ruiz, JM ;

Ruiz, MC .

PROBABILITY IN THE ENGINEERING AND INFORMATIONAL SCIENCES, 2001, 15 (02) :273-293

[5] APPLICATIONS OF THE HAZARD RATE ORDERING IN RELIABILITY AND ORDER-STATISTICS [J].

BOLAND, PJ ;

ELNEWEIHI, E ;

PROSCHAN, F .

JOURNAL OF APPLIED PROBABILITY, 1994, 31 (01) :180-192

[6] RELATIONSHIP BETWEEN SYSTEM FAILURE RATE AND COMPONENT FAILURE RATES [J].

ESARY, JD ;

PROSCHAN, F .

TECHNOMETRICS, 1963, 5 (02) :183-&

[7] A note on closure of the ILR and DLR classes under formation of coherent systems [J].

Franco, M ;

Ruiz, MC ;

Ruiz, JM .

STATISTICAL PAPERS, 2003, 44 (02) :279-288

[8] Stochastic comparisons of residual lifetimes and inactivity times of coherent systems with dependent identically distributed components [J].

Gupta, Nitin ;

Misra, Neeraj ;

Kumar, Somesh .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2015, 240 (02) :425-430

[9] RELIABILITY PROPERTIES OF RESIDUAL LIFE TIME AND INACTIVITY TIME OF SERIES AND PARALLEL SYSTEM [J].

Gupta, Nitin ;

Gandotra, Neeraj ;

Bajaj, Rakesh Kumar .

JOURNAL OF APPLIED MATHEMATICS STATISTICS AND INFORMATICS, 2012, 8 (01) :5-16

[10]

Gupta N, 2013, J APPL PROBAB, V50, P848

← 1 2 3 →