Inference for a constant-stress model under progressive type-II censored data from the truncated normal distribution
被引:1
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作者:
Sief, Mohamed
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机构:
Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Inst Nano Sci, Nanjing 210016, Peoples R China
Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
Fayoum Univ, Fac Sci, Dept Math, Al Fayyum 63514, EgyptNanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Inst Nano Sci, Nanjing 210016, Peoples R China
Sief, Mohamed
[1
,2
,3
]
Liu, Xinsheng
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机构:
Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Inst Nano Sci, Nanjing 210016, Peoples R China
Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R ChinaNanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Inst Nano Sci, Nanjing 210016, Peoples R China
Liu, Xinsheng
[1
,2
]
Abd El-Raheem, Abd El-Raheem Mohamed
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机构:
Ain Shams Univ, Fac Educ, Dept Math, Cairo, EgyptNanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Inst Nano Sci, Nanjing 210016, Peoples R China
Abd El-Raheem, Abd El-Raheem Mohamed
[4
]
机构:
[1] Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Inst Nano Sci, Nanjing 210016, Peoples R China
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
[3] Fayoum Univ, Fac Sci, Dept Math, Al Fayyum 63514, Egypt
[4] Ain Shams Univ, Fac Educ, Dept Math, Cairo, Egypt
Constant-stress accelerated life test;
Progressive type-II censoring;
Maximum likelihood estimation;
Maximum product spacing estimation;
EM algorithm;
Truncated normal distribution;
Bootstrap confidence interval;
SAMPLE-SIZE ALLOCATION;
ACCELERATED LIFE TESTS;
MAXIMUM-LIKELIHOOD;
WEIBULL DISTRIBUTION;
REGRESSION;
D O I:
10.1007/s00180-023-01407-8
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
In this study, constant-stress accelerated life testing has been investigated using type-II censoring of failure data from a truncated normal distribution. Various classical estimation approaches are discussed for estimating model parameters, hazard rates, and reliability functions. Among these methods are maximum likelihood estimation, the EM algorithm, and maximum product spacing estimation. Interval estimation is also introduced in the context of asymptomatic confidence intervals and bootstrap intervals. Furthermore, the missing information principle was employed to compute the observed Fisher information matrix. Three optimality criteria linked with the Fisher information matrix are considered to find out the optimal value of each stress level. To interpret the proposed techniques, Monte Carlo simulations are run in conjunction with real data analysis.
机构:
Nanjing Univ Aeronaut & Astronaut, Dept Math, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R China
Fayoum Univ, Dept Math, Fac Sci, Al Fayyum, EgyptNanjing Univ Aeronaut & Astronaut, Dept Math, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R China
Sief, Mohamed
Liu, Xinsheng
论文数: 0引用数: 0
h-index: 0
机构:
Nanjing Univ Aeronaut & Astronaut, Dept Math, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R ChinaNanjing Univ Aeronaut & Astronaut, Dept Math, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R China
Liu, Xinsheng
Abd El-Raheem, Abd El-Raheem M.
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h-index: 0
机构:
Ain Shams Univ, Dept Math, Fac Educ, Cairo, EgyptNanjing Univ Aeronaut & Astronaut, Dept Math, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Peoples R China
机构:
Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi ArabiaPrincess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
Abd Elwahab, Maysaa Elmahi
Alqasem, Ohud A.
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机构:
Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi ArabiaPrincess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
Alqasem, Ohud A.
Nassar, Mazen
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h-index: 0
机构:
King Abdulaziz Univ, Fac Sci, Dept Stat, Jeddah 21589, Saudi ArabiaPrincess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia