Lifetime performance index based on ranked set sampling

被引:2
作者
Asghari, S. [1 ]
Gildeh, B. Sadeghpour [1 ]
Ahmadi, J. [1 ]
Borzadaran, G. Mohtashami [1 ]
机构
[1] Ferdowsi Univ Mashhad, Dept Stat, Mashhad, Iran
关键词
Baysian estimation; Confidence interval; Fisher information; Hypothesis testing; Lifetime performance index; Maximum likelihood estimation; Ranked set sampling; ORDER-STATISTICS;
D O I
10.1080/03610918.2016.1241403
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
In this article, we assume that the lifetimes of products follow a one-parameter exponential distribution and use both conjugate and Jeffreys prior distributions for finding a Bayes estimator based on the RSS scheme for lifetime performance index CL. We also obtained maximum likelihood and adhac estimators for CL. Monte Carlo simulation study is done for comparing the obtained estimators in two sampling schemes SRS and RSS. Fisher information has been utilized to obtain lower confidence bound of CL for both schemes in asymptotically state and use this bounds for hypothesis testing of CL.
引用
收藏
页码:7405 / 7422
页数:18
相关论文
共 31 条
[1]   Quality control chart for the mean using double ranked set sampling [J].
Abujiya, MR ;
Muttlak, HA .
JOURNAL OF APPLIED STATISTICS, 2004, 31 (10) :1185-1201
[2]   Statistical inference for the lifetime performance index based on generalised order statistics from exponential distribution [J].
Ahmadi, Mohammad Vali ;
Doostparast, Mahdi ;
Ahmadi, Jafar .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (06) :1094-1107
[3]   Estimation of the population mean and median using truncation-based ranked set samples [J].
Al-Omari, Amer Ibrahim ;
Raqab, Mohammad Z. .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2013, 83 (08) :1453-1471
[4]   Improved quality control charts for monitoring the process mean, using double-ranked set sampling methods [J].
Al-Omari, Amer Ibrahim ;
Haq, Abdul .
JOURNAL OF APPLIED STATISTICS, 2012, 39 (04) :745-763
[5]   Estimation of mean based on modified robust extreme ranked set sampling [J].
Al-Omari, Amer Ibrahim .
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2011, 81 (08) :1055-1066
[6]   Multistage ranked set sampling [J].
Al-Saleh, MF ;
Al-Omari, AI .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2002, 102 (02) :273-286
[7]  
[Anonymous], 2011, Stoch Qual Control
[8]  
[Anonymous], 1998, THEORY POINT ESTIMAT
[9]  
ARNOLD B.C, 1998, A First Course in Order Statistics
[10]  
Azzalini A., 1996, Statistical Inference