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
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
  • [31] Normal Population Parameters Estimation Using Moving Ranked Set Sampling: Grassland Biodiversity Application
    Al-Rawwashl, M.
    Alodat, M. T.
    Odat, N.
    CHILEAN JOURNAL OF STATISTICS, 2014, 5 (01): : 87 - 101
  • [32] Bayesian Inference on the Variance of Normal Distribution Using Moving Extremes Ranked Set Sampling
    Al-Hadhrami, Said Ali
    Al-Omari, Amer Ibrahim
    JOURNAL OF MODERN APPLIED STATISTICAL METHODS, 2009, 8 (01) : 273 - 281
  • [33] AN ALTERNATIVE ESTIMATION OF THE SCALE PARAMETER FOR MORGENSTERN TYPE BIVARIATE LOG- LOGISTIC DISTRIBUTION USING RANKED SET SAMPLING
    Singh, Housila P.
    Mehta, Vishal
    JOURNAL OF RELIABILITY AND STATISTICAL STUDIES, 2014, 7 (01): : 19 - 29
  • [34] Maximum Likelihood Estimator of the Location Parameter under Moving Extremes Ranked Set Sampling Design
    Wang-xue CHEN
    Chun-xian LONG
    Rui YANG
    Dong-sen YAO
    Acta Mathematicae Applicatae Sinica, 2021, 37 (01) : 101 - 108
  • [35] Maximum Likelihood Estimator of the Location Parameter under Moving Extremes Ranked Set Sampling Design
    Wang-xue Chen
    Chun-xian Long
    Rui Yang
    Dong-sen Yao
    Acta Mathematicae Applicatae Sinica, English Series, 2021, 37 : 101 - 108
  • [36] Maximum Likelihood Estimator of the Location Parameter under Moving Extremes Ranked Set Sampling Design
    Chein, Wang-xue
    Long, Chun-xian
    Yang, Rui
    Yao, Dong-sen
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2021, 37 (01): : 101 - 108
  • [37] Bayesian estimation and prediction for linear exponential models using ordered moving extremes ranked set sampling in medical data
    Newer, Haidy A.
    Alanazi, Bader S.
    AIMS MATHEMATICS, 2025, 10 (01): : 1162 - 1182
  • [38] Parametric estimation for the location parameter for symmetric distributions using moving extremes ranked set sampling with application to trees data
    Al-Saleh, MF
    Al-Hadrami, SA
    ENVIRONMETRICS, 2003, 14 (07) : 651 - 664
  • [39] Large sample properties of maximum likelihood estimator using moving extremes ranked set sampling
    Wang, Han
    Chen, Wangxue
    Li, Bingjie
    JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2024, 53 (02) : 398 - 415
  • [40] Modified Maximum Likelihood Estimator of Scale Parameter Using Moving Extremes Ranked Set Sampling
    Chen, Wangxue
    Xie, Minyu
    Wu, Ming
    COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2016, 45 (06) : 2232 - 2240