Log-logistic parameters estimation using moving extremes ranked set sampling design

被引：11
|
作者：
He Xiao-fang [1 ]
Chen Wang-xue [1 ]
Yang Rui [1 ]
机构：
[1] Jishou Univ, Dept Math & Stat, Jishou 416000, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2021年 / 36卷 / 01期
基金：
中国国家自然科学基金;
关键词：
moving extremes ranked set sample; best linear unbiased estimator; maximum likelihood estimator;
D O I：
10.1007/s11766-021-3720-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In statistical parameter estimation problems, how well the parameters are estimated largely depends on the sampling design used. In the current paper, a modification of ranked set sampling (RSS) called moving extremes RSS (MERSS) is considered for the estimation of the scale and shape parameters for the log-logistic distribution. Several traditional estimators and ad hoc estimators will be studied under MERSS. The estimators under MERSS are compared to the corresponding ones under SRS. The simulation results show that the estimators under MERSS are significantly more efficient than the ones under SRS.
引用
收藏
页码：99 / 113
页数：15
相关论文
共 50 条
  • [41] Estimation of parameters of the generalized geometric distribution using ranked set sampling
    Bhoj, DS
    Ahsanullah, M
    BIOMETRICS, 1996, 52 (02) : 685 - 694
  • [42] Estimation of parameters of the extreme value distribution using ranked set sampling
    Bhoj, DS
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1997, 26 (03) : 653 - 667
  • [43] Bayes Estimation of Weibull Distribution Parameters Using Ranked Set Sampling
    Helu, Amal
    Abu-Salih, Muhammad
    Alkam, Osama
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2010, 39 (14) : 2533 - 2551
  • [44] Estimation of the distribution function using moving extreme and MiniMax ranked set sampling
    Al-Omari, Amer I.
    Abdallah, Mohamed S.
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023, 52 (05) : 1909 - 1925
  • [45] Estimation of Gumbel Parameters under Ranked Set Sampling
    Yousef, Omar M.
    Al-Subh, S. A.
    JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2014, 13 (02) : 432 - 443
  • [46] Bayesian estimation using ranked set sampling
    Al-Saleh, MF
    Al-Shrafat, K
    Muttlak, H
    BIOMETRICAL JOURNAL, 2000, 42 (04) : 489 - 500
  • [47] Linear estimation in scaled log-logistic distribution
    Kantam, R. R. L.
    Rao, A. Vasudeva
    Rao, G. Srinivasa
    INTERNATIONAL JOURNAL OF AGRICULTURAL AND STATISTICAL SCIENCES, 2008, 4 (01): : 11 - 22
  • [48] A Simple Bayesian Estimation of The Log-Logistic Distribution
    Lu, Wanbo
    Rui, Ke
    PROCEEDINGS OF 2013 INTERNATIONAL CONFERENCE ON QUALITY, RELIABILITY, RISK, MAINTENANCE, AND SAFETY ENGINEERING (QR2MSE), VOLS I-IV, 2013, : 1069 - 1073
  • [49] Estimation of the scale parameter of a log-logistic distribution
    G. Lesitha
    P. Yageen Thomas
    Metrika, 2013, 76 : 427 - 448
  • [50] Efficient Estimation of Two-Parameter Xgamma Distribution Parameters Using Ranked Set Sampling Design
    Al-Omari, Amer Ibrahim
    Benchiha, SidAhmed
    Almanjahie, Ibrahim M.
    MATHEMATICS, 2022, 10 (17)
12345