Lindley distribution;
Reliability and failure rate functions;
Progressive type II censoring;
Maximum likelihood estimation;
Hayes estimates;
D O I:
10.1016/j.matcom.2011.07.005
中图分类号:
TP39 [计算机的应用];
学科分类号:
081203 ;
0835 ;
摘要:
In this paper we discuss one parameter Lindley distribution. It is suggested that it may serve as a useful reliability model. The model properties and reliability measures are derived and studied in detail. For the estimation purposes of the parameter and other reliability characteristics maximum likelihood and Bayes approaches are used. Interval estimation and coverage probability for the parameter are obtained based on maximum likelihood estimation. Monte Carlo simulation study is conducted to compare the performance of the various estimates developed. In view of cost and time constraints, progressively Type II censored sample data are used in estimation. A real data example is given for illustration. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
机构:
Al Azhar Univ, Dept Math, Fac Sci, Cairo, EgyptAl Azhar Univ, Dept Math, Fac Sci, Cairo, Egypt
El-Din, M. M. M. Mohie
Amein, M. M.
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机构:
Al Azhar Univ, Dept Math, Fac Sci, Cairo, EgyptAl Azhar Univ, Dept Math, Fac Sci, Cairo, Egypt
Amein, M. M.
Shafay, A. R.
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机构:
King Saud Univ, Community Coll Riyadh, Nat Sci Dept, POB 28095, Riyadh 11437, Saudi Arabia
Fayoum Univ, Dept Math, Fac Sci, Al Fayyum, EgyptAl Azhar Univ, Dept Math, Fac Sci, Cairo, Egypt
Shafay, A. R.
Mohamed, Samar
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机构:
Fayoum Univ, Dept Math, Fac Sci, Al Fayyum, EgyptAl Azhar Univ, Dept Math, Fac Sci, Cairo, Egypt