multiply type II censored samples;
prediction interval;
Pareto distribution;
Monte Carlo simulation;
D O I:
10.1016/j.amc.2007.01.013
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We propose the weighted moments estimators (WMEs) of the location and scale parameters of Pareto distribution with known shape parameter under the multiply type II censored sample Y(r+1) < . . . < Y(r+k) < Y ((r+k+1+1)) < . . . < Y(n-s). Hence, we use these WMEs and best linear unbiased estimator (BLUE) of scale parameter to find pivotal quantities and obtain the prediction intervals of the jth future observation (Y(j), n - s < j <= n) based on the above censored sample. Finally, we give the Monte Carlo simulation to assess the computational comparison of these pivotal quantities for establishing prediction intervals of the jib future observation (Y(j), n - s < j _< n). (C) 2007 Elsevier Inc. All rights reserved.
机构:
Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang, Guizhou, Peoples R ChinaBeijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
Chen, Haiqing
Cheng, Weihu
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机构:
Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R ChinaBeijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
Cheng, Weihu
Zhu, Leilei
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机构:
Capital Univ Econ & Business, Overseas Chinese Coll, Beijing, Peoples R ChinaBeijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
Zhu, Leilei
Rong, Yaohua
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机构:
Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R ChinaBeijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China
机构:
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, MoscowFaculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow
Kozlov V.D.
Maysuradze A.I.
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机构:
Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, MoscowFaculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow