A New Family of Quadratic Hazard Rate-Geometric Distributions With Reliability Applications
被引:4
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作者:
Okasha, Hassan M.
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机构:
King Abdulaziz Univ, Dept Stat, Collage Sci, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Dept Stat, Collage Sci, POB 80203, Jeddah 21589, Saudi Arabia
Okasha, Hassan M.
[1
]
Kayid, M.
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机构:
King Saud Univ, Dept Stat & Operat Res, Coll Sci, POB 2455, Riyadh 11451, Saudi ArabiaKing Abdulaziz Univ, Dept Stat, Collage Sci, POB 80203, Jeddah 21589, Saudi Arabia
Kayid, M.
[2
]
Abouammoh, M. A.
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机构:
King Saud Univ, Dept Stat & Operat Res, Coll Sci, POB 2455, Riyadh 11451, Saudi ArabiaKing Abdulaziz Univ, Dept Stat, Collage Sci, POB 80203, Jeddah 21589, Saudi Arabia
Abouammoh, M. A.
[2
]
Elbatal, I.
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机构:
King Saud Univ, Dept Stat & Operat Res, Coll Sci, POB 2455, Riyadh 11451, Saudi ArabiaKing Abdulaziz Univ, Dept Stat, Collage Sci, POB 80203, Jeddah 21589, Saudi Arabia
Elbatal, I.
[2
]
机构:
[1] King Abdulaziz Univ, Dept Stat, Collage Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] King Saud Univ, Dept Stat & Operat Res, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia
geometric distribution;
bathtub failure rate;
mean residual life;
mean inactivity time;
stochastic ordering;
order statistics;
maximum likelihood estimation;
reliability applications;
ORDERINGS;
D O I:
10.1520/JTE20150116
中图分类号:
TB3 [工程材料学];
学科分类号:
0805 ;
080502 ;
摘要:
This paper introduced the generalized quadratic hazard rate distribution. This new distribution generalizes several well-known distributions such as generalized exponential, generalized Rayleigh, and generalized linear hazard rate. Some statistical and reliability properties of the new distribution were discussed. The maximum likelihood estimates of its unknown parameters were obtained by simulation. The proposed model and other derived results were utilized for fitting real data set and it was shown that the new distribution provided a better fit than some other known distributions.
机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
Suez Univ, Fac Sci, Dept Math & Comp Sci, Suez 41522, EgyptKing Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
Kayid, M.
Elbatal, I.
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机构:
Cairo Univ, Dept Math Stat, Inst Stat Studies & Res, Giza 12613, EgyptKing Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
Elbatal, I.
Merovci, F.
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机构:
Univ Prishtina Hasan Prishtina, Dept Math, Prishtine 10000, KosovoKing Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi Arabia
机构:
Department of Statistics, Faculty of Science, King Abdul Aziz University, P.O. Box 80200, Jeddah
Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, CairoDepartment of Statistics, Faculty of Science, King Abdul Aziz University, P.O. Box 80200, Jeddah
机构:
King Abdulaziz Univ, Fac Sci, Dept Stat, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Stat, POB 80203, Jeddah 21589, Saudi Arabia
Al-Shomrani, Ali A.
Shawky, Ahmed I.
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机构:
King Abdulaziz Univ, Fac Sci, Dept Stat, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Stat, POB 80203, Jeddah 21589, Saudi Arabia