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Statistical Papers

, Volume 44, Issue 3, pp 367–382 | Cite as

Estimation of the mean of the exponential distribution using moving extremes ranked set sampling

  • Mohammad Fraiwan Al-SalehEmail author
  • Said Ali Al-Hadhrami
Articles

Abstract

Moving Extremes Ranked Set Sampling (MERSS) is a useful modification of Ranked Set Sampling (RSS). Unlike RSS, MERSS allows for an increase of set size without introducing too much ranking error. The method is considered parametrically under exponential distribution. Maximum likelihood estimator (MLE), and a modified MLE are considered and their properties are studied. The method is studied under both perfect and imperfect ranking (with error in ranking). It appears that these estimators can be real competitors to the MLE using the usual simple random sampling (SRS).

Keywords

Ranked Set Sampling Moving Extremes Ranked Set Sampling Error in Ranking Maximum Likelihood Estimator Modified Maximum Likelihood Estimator 

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Copyright information

© Springer-Verlag 2003

Authors and Affiliations

  • Mohammad Fraiwan Al-Saleh
    • 1
    Email author
  • Said Ali Al-Hadhrami
    • 2
  1. 1.Department of StatisticsYarmouk UniversityYarmoukJordan
  2. 2.Department of Mathematics and StatisticsSultan Qaboos University, OmanOman

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