|
文摘
|
Cost effective sampling design is a problem of major concern in some experiments especially when the measurement of the characteristic of interest is costly or painful or time consuming. In the current paper, a modification of ranked set sampling(RSS)called moving extremes RSS(MERSS)is considered for the estimation of the location parameter for location family. A maximum likelihood estimator(MLE)of the location parameter for this family is studied and its properties are obtained. We prove that the MLE is an equivariant estimator under location transformation. In order to give more insight into the performance of MERSS with respect to(w.r.t.)simple random sampling(SRS), the asymptotic efficiency of the MLE using MERSS w.r.t. that using SRS is computed for some usual location distributions. The relative results show that the MLE using MERSS can be real competitors to the MLE using SRS. |
|
来源
|
Acta Mathematicae Applicatae Sinica-English Series
,2021,37(1):101-108 【核心库】
|
|
DOI
|
10.1007/s10255-021-0998-8
|
|
关键词
|
ranked set sampling
;
moving extremes ranked set sampling
;
maximum Likelihood estimator
;
equivariant estimator
;
fisher information number
|
|
地址
|
Department of Mathematics and Statistics, Jishou University, Jishou, 416000
|
|
语种
|
英文 |
|
文献类型
|
研究性论文 |
|
ISSN
|
0168-9673 |
|
学科
|
数学 |
|
基金
|
国家自然科学基金
;
the Scientific Research Fund of Hunan Provincial Science and Technology Department
;
湖南省教育厅项目
;
the Young Core Teacher Foundation of Hunan Province
;
the Fundamental Research Fund of Xiangxi Autonomous Prefecture
|
|
文献收藏号
|
CSCD:6915541
|
|
|
1.
Al-Odat M T. A variation of ranked set sampling.
Journal of Applied Statistical Science,2001,10(2):137-146
|
CSCD被引
9
次
|
|
|
|
|
2.
Al-Saleh M F. Parametric estimation for the location parameter for symmetric distributions using moving extremes ranked set sampling with application to trees data.
Environmetrics,2003,14(3):651-664
|
CSCD被引
10
次
|
|
|
|
|
3.
Al-Saleh M F. Estimation of the mean of the exponential distribution using moving extremes ranked set sampling.
Statistical Papers,2003,44(3):367-382
|
CSCD被引
5
次
|
|
|
|
|
4.
Chen W X. Maximum Likelihood Estimator of the Parameter for a Continuous One-Parameter Exponential Family Under the Optimal Ranked Set Sampling.
Journal of Systems Science and Complexity,2017,30(6):1350-1363
|
CSCD被引
12
次
|
|
|
|
|
5.
Chen W X. The global minimum variance unbiased estimator of the parameter for a truncated parameter family under the optimal ranked set sampling.
Journal of Statistical Computation and Simulation,2018,88(17):3399-3414
|
CSCD被引
8
次
|
|
|
|
|
6.
Chen W X. Parametric estimation for the scale parameter for scale distributions using moving extremes ranked set sampling.
Statistics and Probability Letters,2013,83(9):2060-2066
|
CSCD被引
12
次
|
|
|
|
|
7.
Chen W X. Modified maximum likelihood estimator of scale parameter using moving extremes ranked set sampling.
Communications in Statistics-Simulation and Computation,2016,45(6):2232-2240
|
CSCD被引
13
次
|
|
|
|
|
8.
Chen W X.
Pareto parameters estimation using moving extremes ranked set sampling. Statistical Papers,2019
|
CSCD被引
6
次
|
|
|
|
|
9.
Chen Z H.
Ranked Set Sampling: Teory and Applications,2003
|
CSCD被引
2
次
|
|
|
|
|
10.
He X F. Maximum likelihood estimators of the parameters of the log-logistic distribution.
Statistical papers,2020,61(5):1875-1892
|
CSCD被引
7
次
|
|
|
|
|
11.
He X F. Log-logistic parameters estimation using moving extremes ranked set sampling design.
Applied Mathematics-A Journal of Chinese Universities Series B,2019(accepted)
|
CSCD被引
2
次
|
|
|
|
|
12.
Lehmann E L.
Theory of point estimation,1983
|
CSCD被引
18
次
|
|
|
|
|
13.
Maceachern S N. A new ranked set sample estimator of variance.
Journal of the royal statistical society series b-statistical methodology,2002,64(2):177-188
|
CSCD被引
9
次
|
|
|
|
|
14.
McIntyre G A. A method for unbiased selective sampling using ranked sets.
Australian Journal of Agricultural Research,1952,3(4):385-390
|
CSCD被引
30
次
|
|
|
|
|
15.
Ozturk O. An exact control versus treatment comparison test based on ranked set samples.
Biometrics,2009,65(4):1213-1222
|
CSCD被引
6
次
|
|
|
|
|
16.
Qian W S.
Parameter estimation for the Pareto distribution based on ranked set sampling. Statistical papers,2019
|
CSCD被引
4
次
|
|
|
|
|
17.
Stokes L. Parametric ranked set sampling.
Annals of the Institute of Statistical Mathematics,1995,47(3):465-482
|
CSCD被引
14
次
|
|
|
|
|
18.
Takahasi K. On unbiased estimates of the population mean based on the sample stratified by means of ordering.
Annals of the Institute of Statistical Mathematics,1968,20(1):1-31
|
CSCD被引
22
次
|
|
|
|
|
19.
Wang X L. Using ranked set sampling with cluster randomized designs for improved inference on treatment effects.
Journal of the American Statistical Association,2016,111(516):1576-1590
|
CSCD被引
15
次
|
|
|
|
|
20.
Yao D S. Maximum likelihood estimators of the parameters of the logistic distribution under optimal sampling design.
Journal of Systems Science and Mathematical Sciences. (in Chinese),2020,40(2):233-242
|
CSCD被引
2
次
|
|
|
了解气象卫星更多信息，请访问