Reliability analysis for stress-strength model from a general family of truncated distributions under censored data

Under progressive Type-II censoring, inference of stress-strength reliability (SSR) is studied for a general family of lower truncated distributions. When the lifetime models of the strength and stress variables have arbitrary and common parameters, maximum likelihood and pivotal quantities based ge...

Full description

Saved in:
Bibliographic Details
Published in:Communications in statistics. Theory and methods Vol. 49; no. 15; pp. 3589 - 3608
Main Authors: Wang, Liang, Zuo, Xuanjia, Tripathi, Yogesh Mani, Wang, Junyuan
Format: Journal Article
Language:English
Published: Philadelphia Taylor & Francis 02.08.2020
Taylor & Francis Ltd
Subjects:
bootstrap technique
Computer simulation
Confidence intervals
generalized confidence interval
Likelihood ratio
Lower truncated model
Mathematical models
maximum likelihood estimator
Parameters
pivotal variable
Reliability analysis
Strength
ISSN:0361-0926, 1532-415X
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Under progressive Type-II censoring, inference of stress-strength reliability (SSR) is studied for a general family of lower truncated distributions. When the lifetime models of the strength and stress variables have arbitrary and common parameters, maximum likelihood and pivotal quantities based generalized estimators of SSR are established, respectively. Confidence intervals are constructed based on generalized pivotal quantities and bootstrap technique under different parameter cases as well. In addition, to compare the equivalence of the strength and stress parameters, likelihood ratio testing of interested parameters is provided as a complementary. Simulation studies and two real-life data examples are provided to investigate the performance of proposed methods.
AbstractList Under progressive Type-II censoring, inference of stress-strength reliability (SSR) is studied for a general family of lower truncated distributions. When the lifetime models of the strength and stress variables have arbitrary and common parameters, maximum likelihood and pivotal quantities based generalized estimators of SSR are established, respectively. Confidence intervals are constructed based on generalized pivotal quantities and bootstrap technique under different parameter cases as well. In addition, to compare the equivalence of the strength and stress parameters, likelihood ratio testing of interested parameters is provided as a complementary. Simulation studies and two real-life data examples are provided to investigate the performance of proposed methods.
Author Zuo, Xuanjia
Wang, Liang
Wang, Junyuan
Tripathi, Yogesh Mani
Author_xml – sequence: 1
  givenname: Liang
  orcidid: 0000-0002-2600-5112
  surname: Wang
  fullname: Wang, Liang
  email: liang610112@163.com
  organization: School of Mathematics and Statistics, Xi'an Jiaotong University
– sequence: 2
  givenname: Xuanjia
  surname: Zuo
  fullname: Zuo, Xuanjia
  organization: School of Mathematics, Yunnan Normal University
– sequence: 3
  givenname: Yogesh Mani
  surname: Tripathi
  fullname: Tripathi, Yogesh Mani
  organization: Department of Mathematics, Indian Institute of Technology Patna
– sequence: 4
  givenname: Junyuan
  surname: Wang
  fullname: Wang, Junyuan
  organization: School of Mathematics and Statistics, Xidian University
BookMark eNqFkE9LHjEQh0NR8FX7EYRAz_ua_7uhF4uoLQiFUqG3MLub2Eg20SSL7Ld3l9deemhPwzC_Z5h5TtFRTNEidEHJnpKOXBKuKNFM7Rmhek9bSlqpP6AdlZw1gspfR2i3ZZotdIJOS3kihMq24ztUftjgoffB1wVDhLAUX7BLGZeabSnNVuJj_Y2nNNqAXU4TBvxoo82wtjD5sODkcM1zHKDaEY9-ZXw_V59iwXMcbcaDjSXlbQgVztGxg1Dsx_d6hh5ub35ef23uv999u_5y3wycd7VxurNSaaelaJmAllIBUjnHNFdWqXH9vaVSCFAjU5r2PZe2Z4OSbOVaqvkZ-nTY-5zTy2xLNU9pzuuPxTDBKGOdUGJNfT6khpxKydaZwVfYjq8ZfDCUmM2y-WPZbJbNu-WVln_Rz9lPkJf_clcHzsdV9gSvKYfRVFhCyi5DHHwx_N8r3gB2wJal
CitedBy_id crossref_primary_10_1007_s42081_021_00122_2
crossref_primary_10_1016_j_cam_2022_114602
crossref_primary_10_3390_math10173122
crossref_primary_10_1080_00949655_2023_2282743
crossref_primary_10_1002_cpe_7609
crossref_primary_10_1080_03610926_2024_2434563
Cites_doi 10.1016/j.ress.2010.09.004
10.1080/00949655.2013.861837
10.1080/00949655.2012.750658
10.1198/016214505000000411
10.1007/s10440-008-9285-4
10.1080/01621459.1993.10476355
10.1080/03610918.2017.1309428
10.1007/978-0-8176-4807-7
10.1016/j.apm.2017.09.012
10.1007/s00362-012-0463-0
10.1080/03610918.2015.1117637
10.1016/j.jspi.2008.07.008
10.1080/03610926.2015.1048890
10.1109/TR.1977.5215074
10.1016/j.apm.2017.03.047
10.1142/5015
10.2307/2684646
10.1080/03610926.2014.948204
10.2307/2288857
10.1080/03610926.2019.1576886
10.1198/TECH.2010.08210
10.1016/j.spl.2009.05.026
10.1137/1.9781611970319
ContentType Journal Article
Copyright 2020 Taylor & Francis Group, LLC 2020
2020 Taylor & Francis Group, LLC
Copyright_xml – notice: 2020 Taylor & Francis Group, LLC 2020
– notice: 2020 Taylor & Francis Group, LLC
DBID AAYXX
CITATION
7SC
7TB
8FD
FR3
JQ2
KR7
L7M
L~C
L~D
DOI 10.1080/03610926.2019.1710759
DatabaseName CrossRef
Computer and Information Systems Abstracts
Mechanical & Transportation Engineering Abstracts
Technology Research Database
Engineering Research Database
ProQuest Computer Science Collection
Civil Engineering Abstracts
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Civil Engineering Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Mechanical & Transportation Engineering Abstracts
ProQuest Computer Science Collection
Computer and Information Systems Abstracts
Engineering Research Database
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts Professional
DatabaseTitleList
Civil Engineering Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Statistics
Mathematics
EISSN 1532-415X
EndPage 3608
ExternalDocumentID 10_1080_03610926_2019_1710759
1710759
Genre Article
GrantInformation_xml – fundername: Humanities and Social Science Fund in Ministry of Education in China
  grantid: 09; EMR/; /; 01
– fundername: National Natural Science Foundation of China
  grantid: ,; ,
– fundername: Science and Engineering Research Board, India
– fundername: China Postdoctoral Science Foundation
  grantid: 60
GroupedDBID -~X
.7F
.QJ
0BK
0R~
29F
2DF
30N
4.4
5GY
5VS
8VB
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABEHJ
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACGEJ
ACGFS
ACIWK
ACTIO
ADCVX
ADGTB
ADXPE
AEISY
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGDLA
AGMYJ
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AMVHM
AQRUH
AQTUD
AVBZW
AWYRJ
BLEHA
CCCUG
CE4
CS3
DGEBU
DKSSO
EBS
E~A
E~B
F5P
GTTXZ
H13
HF~
HZ~
H~P
IPNFZ
J.P
K1G
KYCEM
LJTGL
M4Z
NA5
NY~
O9-
QWB
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TN5
TOXWX
TTHFI
TUROJ
TWF
TWZ
UPT
UT5
UU3
WH7
ZGOLN
ZL0
~02
~S~
AAYXX
CITATION
7SC
7TB
8FD
FR3
JQ2
KR7
L7M
L~C
L~D
ID FETCH-LOGICAL-c338t-f98e569f954724a7114a56ff2936e66d10871544a6d2691bb35eb2c6528e57193
IEDL.DBID TFW
ISICitedReferencesCount 6
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000508293900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0361-0926
IngestDate Wed Aug 13 07:18:39 EDT 2025
Sat Nov 29 01:54:08 EST 2025
Tue Nov 18 21:55:42 EST 2025
Mon Oct 20 23:49:00 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 15
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c338t-f98e569f954724a7114a56ff2936e66d10871544a6d2691bb35eb2c6528e57193
Notes ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ORCID 0000-0002-2600-5112
PQID 2421228464
PQPubID 186202
PageCount 20
ParticipantIDs crossref_citationtrail_10_1080_03610926_2019_1710759
crossref_primary_10_1080_03610926_2019_1710759
proquest_journals_2421228464
informaworld_taylorfrancis_310_1080_03610926_2019_1710759
PublicationCentury 2000
PublicationDate 2020-08-02
PublicationDateYYYYMMDD 2020-08-02
PublicationDate_xml – month: 08
  year: 2020
  text: 2020-08-02
  day: 02
PublicationDecade 2020
PublicationPlace Philadelphia
PublicationPlace_xml – name: Philadelphia
PublicationTitle Communications in statistics. Theory and methods
PublicationYear 2020
Publisher Taylor & Francis
Taylor & Francis Ltd
Publisher_xml – name: Taylor & Francis
– name: Taylor & Francis Ltd
References CIT0010
Marshall A. W. (CIT0016) 2007
CIT0012
CIT0011
CIT0014
CIT0013
CIT0018
CIT0017
CIT0019
Lawless J. L. (CIT0015) 2003
CIT0021
CIT0020
CIT0001
CIT0023
CIT0022
CIT0003
CIT0025
CIT0002
CIT0024
CIT0005
CIT0004
CIT0007
CIT0006
CIT0009
CIT0008
References_xml – ident: CIT0024
  doi: 10.1016/j.ress.2010.09.004
– ident: CIT0011
  doi: 10.1080/00949655.2013.861837
– volume-title: Statistical models and methods for life time data
  year: 2003
  ident: CIT0015
– ident: CIT0017
  doi: 10.1080/00949655.2012.750658
– ident: CIT0001
  doi: 10.1198/016214505000000411
– ident: CIT0018
  doi: 10.1007/s10440-008-9285-4
– ident: CIT0023
  doi: 10.1080/01621459.1993.10476355
– ident: CIT0006
  doi: 10.1080/03610918.2017.1309428
– ident: CIT0004
  doi: 10.1007/978-0-8176-4807-7
– ident: CIT0020
  doi: 10.1016/j.apm.2017.09.012
– volume-title: Life distributions; structure of nonparametric, semiparametric, and parametric families
  year: 2007
  ident: CIT0016
– ident: CIT0007
  doi: 10.1007/s00362-012-0463-0
– ident: CIT0025
  doi: 10.1080/03610918.2015.1117637
– ident: CIT0002
  doi: 10.1016/j.jspi.2008.07.008
– ident: CIT0010
  doi: 10.1080/03610926.2015.1048890
– ident: CIT0019
  doi: 10.1109/TR.1977.5215074
– ident: CIT0003
  doi: 10.1016/j.apm.2017.03.047
– ident: CIT0013
  doi: 10.1142/5015
– ident: CIT0005
  doi: 10.2307/2684646
– ident: CIT0022
  doi: 10.1080/03610926.2014.948204
– ident: CIT0009
  doi: 10.2307/2288857
– ident: CIT0012
  doi: 10.1080/03610926.2019.1576886
– ident: CIT0021
  doi: 10.1198/TECH.2010.08210
– ident: CIT0014
  doi: 10.1016/j.spl.2009.05.026
– ident: CIT0008
  doi: 10.1137/1.9781611970319
SSID ssj0015783
Score 2.2655683
Snippet Under progressive Type-II censoring, inference of stress-strength reliability (SSR) is studied for a general family of lower truncated distributions. When the...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 3589
SubjectTerms bootstrap technique
Computer simulation
Confidence intervals
generalized confidence interval
Likelihood ratio
Lower truncated model
Mathematical models
maximum likelihood estimator
Parameters
pivotal variable
Reliability analysis
Strength
Title Reliability analysis for stress-strength model from a general family of truncated distributions under censored data
URI https://www.tandfonline.com/doi/abs/10.1080/03610926.2019.1710759
https://www.proquest.com/docview/2421228464
Volume 49
WOSCitedRecordID wos000508293900001&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAWR
  databaseName: Taylor & Francis
  customDbUrl:
  eissn: 1532-415X
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0015783
  issn: 0361-0926
  databaseCode: TFW
  dateStart: 19760101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV09T8MwELVQxVAGPgqIQkEeWFOSNLHjESEqFiqGIrpFtmOXAaUoCUj8e-5ipwIh1AGmDMlZjn0-37Pv3hFyqRKDJCNFoKWyQZJKHSiRxoFQYSQzwZXirtgEn82yxUI8-GjC2odVIoa2jiiitdW4uKWqu4i4KzC6UShiDDCIxDiCPZKnmMIHWz8uzfn0aX2PAProCiQzAM0g0uXw_NbKt93pG3fpD1vdbkDTvX_o-j7Z9d4nvXbqckC2TDkgO_dr6tZ6QProfjr25kNSY8SyY_L-oNLzl1DoLnU5JgE-ymXzTNuKOhSTVaikS8dlTd3pCV1Z2lRvyD5rClogU68vslVTTGGrqAYsvarwpWzkEXmc3s5v7gJfpiHQgG-bwIrMpExYkSY8TiQHhCVTZi04EswwVsCPc-T8kayImYiUmqQA5zVLY5Dj4EAek165Ks0JoVpPwiI0gJqQ1l5ZWRgGH4GXYTLBpBiSpJueXHsOcyyl8ZJHHdWpH-AcBzj3Azwk47XYqyPx2CQgvs593rSnJ9aVOsknG2RHnaLk3h7UeXvxDp4AS07_0PQZ6ccI9zFiJR6RHsydOSfb-h3UorpoNf8TIEL-tQ
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwED5BQaIMvBHl6YE10KSxU48IUYGATkV0s2zHhgG1qA1I_Hvu4qQCIdQBpgzJWY59Pt9n330HcGpSRyQjeWS18VHKtY2M5EkkTTvWXZkZk4ViE1m_3x0O5ddcGAqrJAztA1FEaatpcdNhdB0Sd45WN27LhCIMYnkW4yaZcbkISxz3WuLPH_QeZzcJqJGhRLJA2IwydRbPb81825--sZf-sNblFtRb_4_Ob8Ba5YCyi6Axm7DgRluwej9jb51uQZM80EDgvA1TCloOZN4fTFcUJgz7y0KaSUSP0VPxzMqiOozyVZhmT4HOmoUDFDb2rJi8EQGty1lOZL1Vna0poyy2CbMIp8cTeqkLvQMPvavB5XVUVWqILELcIvKy67iQXvI0S1KdIcjSXHiPvoRwQuT44xnR_miRJ0LGxnQ4InoreIJyGfqQu9AYjUduD5i1nXbedgiciNneeJ07gR-ho-G6UmjZgrSeH2UrGnOqpvGi4prttBpgRQOsqgFuwdlM7DXweMwTkF8nXxXlAYoP1U5UZ47sYa0pqjIJU1XevaMzINL9PzR9AivXg_s7dXfTvz2AZkLonwJYkkNo4Dy6I1i276gik-NyGXwCR5IC7g
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwED5BQQgG3ohHAQ-sgSZNnHpEQAUCKgYQbJbt2DCgFjUBiX_PXexUIIQYYMqQnOXY5_N99t13AAc6tUQyUkRGaRelmTKRFlkSCd2JVU_kWue-2EQ-GPQeHsRNiCYsQ1glYWjniSJqW02L-6VwTUTcERrduCMSCjCIxWGMe2SeiWmYQdeZk5Lf9u8nFwmokL5CMkfUjDJNEs9PzXzZnr6Ql34z1vUO1F_6h74vw2JwP9mx15cVmLLDVVi4nnC3lqswT_6np29eg5JClj2V9ztTgcCEYXeZTzKJ6DF8rJ5YXVKHUbYKU-zRk1kzf3zCRo5V41ein7UFK4iqN1TZKhnlsI2ZQTA9GtNLVal1uOuf3Z6cR6FOQ2QQ4FaREz2bceFEluZJqnKEWCrjzqEnwS3nBf54TqQ_ihcJF7HW3QzxvOFZgnI5epAb0BqOhnYTmDHdTtGxCJuI1147VViOH6GbYXuCK7EFaTM90gQSc6ql8Szjhus0DLCkAZZhgLfgcCL24lk8fhMQn-deVvXxifO1TmT3F9l2oygyGIRS1jfv6ArwdPsPTe_D3M1pX15dDC53YD4h6E_RK0kbWjiNdhdmzRtqyHivXgQfMM8BoA
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Reliability+analysis+for+stress-strength+model+from+a+general+family+of+truncated+distributions+under+censored+data&rft.jtitle=Communications+in+statistics.+Theory+and+methods&rft.au=Wang%2C+Liang&rft.au=Zuo%2C+Xuanjia&rft.au=Yogesh+Mani+Tripathi&rft.au=Wang%2C+Junyuan&rft.date=2020-08-02&rft.pub=Taylor+%26+Francis+Ltd&rft.issn=0361-0926&rft.eissn=1532-415X&rft.volume=49&rft.issue=15&rft.spage=3589&rft.epage=3608&rft_id=info:doi/10.1080%2F03610926.2019.1710759&rft.externalDBID=NO_FULL_TEXT
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0361-0926&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0361-0926&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0361-0926&client=summon