Statistical inference of reliability for a K -out-of- N : G system with switching failure under Poisson shocks

Based on the stochastic uncertainty of the system's operating environment, this research presents statistical inferences on the mean time to failure (MTTF) of a K-out-of-N: G non-repairable system model with switching failure under Poisson shocks. The standby component is switched to the operat...

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Published inStatistical theory and related fields Vol. 8; no. 3; pp. 195 - 210
Main Authors Luo, Fang, Hu, Linmin, Wang, Yuyu, Yu, Xiaoyun
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 02.07.2024
Subjects
asymptotic confidence interval
hypothesis testing
mean time to failure
Poisson shock
switching failure
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Abstract Based on the stochastic uncertainty of the system's operating environment, this research presents statistical inferences on the mean time to failure (MTTF) of a K-out-of-N: G non-repairable system model with switching failure under Poisson shocks. The standby component is switched to the operating component when an operating component fails, with a switching failure probability of p. The MTTF of the system is derived by using the Markov process theory and the Laplace transform for two cases where the shock threshold is a constant value or a random variable. The maximum likelihood estimator (MLE) of the MTTF is obtained, and based on this estimator, asymptotic confidence interval estimation and hypothesis testing are performed. Based on the setting of the basic parameter values, the MTTF under two different cases of the shock threshold is compared. The effect of each parameter on the MTTF is analyzed in numerical simulation. The effectiveness of the above statistical inference methods is also verified by numerical simulation.
AbstractList Based on the stochastic uncertainty of the system's operating environment, this research presents statistical inferences on the mean time to failure (MTTF) of a K-out-of-N: G non-repairable system model with switching failure under Poisson shocks. The standby component is switched to the operating component when an operating component fails, with a switching failure probability of p. The MTTF of the system is derived by using the Markov process theory and the Laplace transform for two cases where the shock threshold is a constant value or a random variable. The maximum likelihood estimator (MLE) of the MTTF is obtained, and based on this estimator, asymptotic confidence interval estimation and hypothesis testing are performed. Based on the setting of the basic parameter values, the MTTF under two different cases of the shock threshold is compared. The effect of each parameter on the MTTF is analyzed in numerical simulation. The effectiveness of the above statistical inference methods is also verified by numerical simulation.
Author Luo, Fang
Yu, Xiaoyun
Wang, Yuyu
Hu, Linmin
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Cites_doi 10.1080/24754269.2022.2152591
10.1080/23307706.2019.1633961
10.1016/j.amc.2011.05.089
10.1080/03610910600716563
10.1016/j.cie.2013.12.003
10.1016/j.matcom.2021.07.026
10.1016/j.amc.2012.05.051
10.3390/computation10040048
10.1109/RAMS.2009.4914713
10.1016/j.ress.2020.106910
10.1007/s00362-016-0810-7
10.1016/j.matcom.2011.03.003
10.1016/j.matcom.2017.09.001
10.1080/03610926.2013.851232
10.1109/24.126674
10.1007/s13198-021-01188-7
10.1109/24.106777
10.5120/ijca2020920143
10.1016/j.ress.2020.107366
10.2307/1427074
10.1016/j.cie.2016.07.016
10.1007/s41872-018-0039-7
10.1016/j.amc.2009.05.023
10.2307/3213896
10.1109/RAMS.2012.6175424
10.1080/03610926.2020.1726958
10.7232/JKIIE.2013.39.2.090
10.1108/02644400810899979
10.1080/02664763.2020.1803808
10.1155/2022/2488182
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References e_1_3_2_27_1
e_1_3_2_28_1
e_1_3_2_29_1
e_1_3_2_20_1
e_1_3_2_21_1
e_1_3_2_22_1
e_1_3_2_23_1
e_1_3_2_24_1
e_1_3_2_25_1
e_1_3_2_26_1
Lewis E. (e_1_3_2_19_1) 1996
e_1_3_2_16_1
e_1_3_2_9_1
e_1_3_2_17_1
e_1_3_2_8_1
e_1_3_2_18_1
e_1_3_2_7_1
e_1_3_2_2_1
e_1_3_2_31_1
e_1_3_2_30_1
e_1_3_2_10_1
e_1_3_2_33_1
e_1_3_2_11_1
e_1_3_2_32_1
e_1_3_2_6_1
e_1_3_2_12_1
e_1_3_2_13_1
e_1_3_2_4_1
e_1_3_2_14_1
e_1_3_2_3_1
e_1_3_2_15_1
Barlow R. E. (e_1_3_2_5_1) 1975
References_xml – ident: e_1_3_2_14_1
  doi: 10.1080/24754269.2022.2152591
– ident: e_1_3_2_10_1
  doi: 10.1080/23307706.2019.1633961
– volume-title: Introduction to reliability engineering
  year: 1996
  ident: e_1_3_2_19_1
– ident: e_1_3_2_31_1
  doi: 10.1016/j.amc.2011.05.089
– ident: e_1_3_2_7_1
  doi: 10.1080/03610910600716563
– ident: e_1_3_2_12_1
  doi: 10.1016/j.cie.2013.12.003
– ident: e_1_3_2_13_1
  doi: 10.1016/j.matcom.2021.07.026
– ident: e_1_3_2_30_1
  doi: 10.1016/j.amc.2012.05.051
– ident: e_1_3_2_20_1
  doi: 10.3390/computation10040048
– ident: e_1_3_2_3_1
  doi: 10.1109/RAMS.2009.4914713
– ident: e_1_3_2_27_1
  doi: 10.1016/j.ress.2020.106910
– ident: e_1_3_2_18_1
  doi: 10.1007/s00362-016-0810-7
– ident: e_1_3_2_11_1
  doi: 10.1016/j.matcom.2011.03.003
– ident: e_1_3_2_16_1
  doi: 10.1016/j.matcom.2017.09.001
– ident: e_1_3_2_32_1
  doi: 10.1080/03610926.2013.851232
– ident: e_1_3_2_26_1
  doi: 10.1109/24.126674
– ident: e_1_3_2_21_1
  doi: 10.1007/s13198-021-01188-7
– ident: e_1_3_2_22_1
  doi: 10.1109/24.106777
– ident: e_1_3_2_8_1
  doi: 10.5120/ijca2020920143
– ident: e_1_3_2_33_1
  doi: 10.1016/j.ress.2020.107366
– ident: e_1_3_2_25_1
  doi: 10.2307/1427074
– ident: e_1_3_2_17_1
  doi: 10.1016/j.cie.2016.07.016
– ident: e_1_3_2_2_1
  doi: 10.1007/s41872-018-0039-7
– ident: e_1_3_2_28_1
  doi: 10.1016/j.amc.2009.05.023
– ident: e_1_3_2_24_1
  doi: 10.2307/3213896
– ident: e_1_3_2_6_1
  doi: 10.1109/RAMS.2012.6175424
– ident: e_1_3_2_23_1
  doi: 10.1080/03610926.2020.1726958
– ident: e_1_3_2_4_1
  doi: 10.7232/JKIIE.2013.39.2.090
– volume-title: Statistical theory of reliability and life testing: Probability models
  year: 1975
  ident: e_1_3_2_5_1
– ident: e_1_3_2_15_1
  doi: 10.1108/02644400810899979
– ident: e_1_3_2_29_1
  doi: 10.1080/02664763.2020.1803808
– ident: e_1_3_2_9_1
  doi: 10.1155/2022/2488182
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StartPage 195
SubjectTerms asymptotic confidence interval
hypothesis testing
mean time to failure
Poisson shock
switching failure
Title Statistical inference of reliability for a K -out-of- N : G system with switching failure under Poisson shocks
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