Topp-Leone distribution;
generalized inverted exponential;
Ré
nyi entropy;
maximum likelihood estimator;
fisher information matrix;
Monte Carlo simulation;
GENERATED FAMILY;
D O I:
10.3390/e22101144
中图分类号:
O4 [物理学];
学科分类号:
0702 ;
摘要:
In this article, a new three parameters lifetime model called the Topp-Leone Generalized Inverted Exponential (TLGIE) Distribution is introduced. Various properties of the model are derived, including moments, quantile function, survival function, hazard rate function, mean deviation and mode. The method of maximum likelihood is used to estimate the unknown parameters. The properties of the maximum likelihood estimators using Fisher information matrix are studied. Three real data sets are applied for illustrative purpose of this study.
机构:
Cairo Univ, Fac Grad Studies Stat Res, Giza 12613, EgyptCairo Univ, Fac Grad Studies Stat Res, Giza 12613, Egypt
Hassan, Amal S.
Al-Omari, Amer I.
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机构:
Al al Bayt Univ, Fac Sci, Dept Math, Mafraq 25113, JordanCairo Univ, Fac Grad Studies Stat Res, Giza 12613, Egypt
Al-Omari, Amer I.
Hassan, Randa R.
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机构:
Cairo Univ, Fac Grad Studies Stat Res, Giza 12613, Egypt
Canadian Int Coll, Sch Business Informat Technol, New Cairo, EgyptCairo Univ, Fac Grad Studies Stat Res, Giza 12613, Egypt
Hassan, Randa R.
Alomani, Ghadah A.
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机构:
Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 8442, Riyadh 11671, Saudi ArabiaCairo Univ, Fac Grad Studies Stat Res, Giza 12613, Egypt
机构:
Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, P Bag 16, Palapye, Botswana
Midlands State Univ, Dept Appl Math & Stat, P Bag 9055, Gweru, ZimbabweBotswana Int Univ Sci & Technol, Dept Math & Stat Sci, P Bag 16, Palapye, Botswana
Charumbira, Wellington Fredrick
Oluyede, Broderick
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机构:
Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, P Bag 16, Palapye, BotswanaBotswana Int Univ Sci & Technol, Dept Math & Stat Sci, P Bag 16, Palapye, Botswana
Oluyede, Broderick
Chipepa, Fastel
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机构:
Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, P Bag 16, Palapye, BotswanaBotswana Int Univ Sci & Technol, Dept Math & Stat Sci, P Bag 16, Palapye, Botswana
机构:
Taibah Univ, Fac Business Adm, Khyber 41941, Saudi Arabia
Sohag Univ, Math Dept, Sohag 82524, EgyptTaibah Univ, Fac Business Adm, Khyber 41941, Saudi Arabia