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Applied Mathematics-A Journal of Chinese Universities  2021, Vol. 36 Issue (1): 99-113    
    
Log-logistic parameters estimation using moving extremes ranked set sampling design
HE Xiao-fang ,CHEN Wang-xue, YANG Rui
Department of Mathematics and Statistics, Jishou University, Jishou 416000, China.
Log-logistic parameters estimation using moving extremes ranked set sampling design
HE Xiao-fang ,CHEN Wang-xue, YANG Rui
Department of Mathematics and Statistics, Jishou University, Jishou 416000, China.
 全文: PDF 
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.
关键词： moving extremes ranked set sample;  best linear unbiased estimator;  maximum likelihood estimator    
Abstract: 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.
Key words: moving extremes ranked set sample    best linear unbiased estimator    maximum likelihood estimator
出版日期: 2021-03-19
CLC:  62D05  
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HE Xiao-fang
CHEN Wang-xue
YANG Rui

引用本文:

HE Xiao-fang , CHEN Wang-xue, YANG Rui. Log-logistic parameters estimation using moving extremes ranked set sampling design[J]. Applied Mathematics-A Journal of Chinese Universities, 2021, 36(1): 99-113.

HE Xiao-fang , CHEN Wang-xue, YANG Rui. Log-logistic parameters estimation using moving extremes ranked set sampling design. Applied Mathematics-A Journal of Chinese Universities, 2021, 36(1): 99-113.

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http://www.zjujournals.com/amjcub/CN/    或    http://www.zjujournals.com/amjcub/CN/Y2021/V36/I1/99

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