Parametric inference for inverted exponentiated family with jointly adaptive progressive type-II censoring
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作者:
Rani Kumari
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机构:
University of Petroleum and Energy Studies,School of BusinessUniversity of Petroleum and Energy Studies,School of Business
Rani Kumari
[1
]
Farha Sultana
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机构:
Indian Institute of Information Technology Guwahati,Department of Science and MathematicsUniversity of Petroleum and Energy Studies,School of Business
Farha Sultana
[2
]
Yogesh Mani Tripathi
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机构:
Indian Institute of Technology Patna,Department of MathematicsUniversity of Petroleum and Energy Studies,School of Business
Yogesh Mani Tripathi
[3
]
Rajesh Kumar Sinha
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机构:
National Institute of Technology Patna,Department of MathematicsUniversity of Petroleum and Energy Studies,School of Business
Rajesh Kumar Sinha
[4
]
机构:
[1] University of Petroleum and Energy Studies,School of Business
[2] Indian Institute of Information Technology Guwahati,Department of Science and Mathematics
[3] Indian Institute of Technology Patna,Department of Mathematics
[4] National Institute of Technology Patna,Department of Mathematics
In this paper, we consider the parametric inference for the family of inverted exponentiated distributions under a joint adaptive progressive Type-II censoring scheme. The problem of estimation is considered for this family with common scale and different shape parameters. We obtain maximum likelihood estimators of unknown model parameters. In sequel asymptotic intervals are also constructed. Further, Bayes estimators are derived under squared error loss function and corresponding credible intervals are obtained as well. To support the findings, we perform simulation studies and analyze a real data set to demonstrate the effectiveness of proposed estimation methods.
机构:
Beijing Jiaotong Univ, Sch Math & Stat, Dept Data Sci, Beijing, Peoples R ChinaBeijing Jiaotong Univ, Sch Math & Stat, Dept Data Sci, Beijing, Peoples R China
Tian, Yajie
Liang, Yingna
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机构:
Beijing Jiaotong Univ, Sch Math & Stat, Dept Data Sci, Beijing, Peoples R ChinaBeijing Jiaotong Univ, Sch Math & Stat, Dept Data Sci, Beijing, Peoples R China
Liang, Yingna
Gui, Wenhao
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机构:
Beijing Jiaotong Univ, Sch Math & Stat, Dept Data Sci, Beijing, Peoples R China
Beijing Jiaotong Univ, Sch Math & Stat, Dept Data Sci, Beijing 100044, Peoples R ChinaBeijing Jiaotong Univ, Sch Math & Stat, Dept Data Sci, Beijing, Peoples R China
机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, POB 2455, Riyadh 11451, Saudi ArabiaMarg Higher Inst Engn & Modern Technol, Dept Basic Sci, Cairo 11721, Egypt