共查询到19条相似文献,搜索用时 546 毫秒
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《数学的实践与认识》2019,(20)
排序集抽样(RSS)是一种著名的抽样技术,它有许多变体,中位数排序集抽样(MRSS)就是其中一种.与简单随机抽样(SRS)相比,RSS在估计总体均值方面具有优势.然而,RSS及其变体的局限性在于,当给定样本大小n时,抽样过程中每次SRS的规模m只能是n或者n的因子.介绍了一种改进的中位数排序集抽样方法MRSS(m),它比原方法在抽样过程上有更多的选择.实验表明,采用新的抽样方法MRSS(m),可以提高Horvitz-Thompson(HT)估计量的估计效率,同时还降低了抽样成本. 相似文献
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检验功效和ROC曲线下面积(AUC)是反映统计检验判别能力的重要工具.文章在简单随机抽样(SRS)、排序集抽样(RSS)和两阶段排序集抽样(DRSS)下研究了Cramer-vonMises检验、Kolmogorov-Smirnov检验、Kuiper检验、Anderson-D arling检验和Jarque-Bera检验这五种正态性检验在完美和非完美排序情况下的检验功效和AUC,并通过蒙特卡洛模拟给出了各正态性检验在不同备择假设情况下的功效值和AUC值.根据模拟结果可得到以下结论:无论是在完美还是非完美排序情况下,基于RSS和DRSS的五种正态性检验功效和AUC均显著高于基于SRS的正态性检验,且基于DRSS的正态性检验在大部分情况下具有最高的数值. 相似文献
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《高校应用数学学报(英文版)》2021,36(1):99-113
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. 相似文献
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Philip L. H. Yu Yijun Sun Bimal K. Sinha 《Annals of the Institute of Statistical Mathematics》2002,54(4):861-878
In this paper we discuss the problem of estimating the common mean of a bivariate normal population based on paired data as well as data on one of the marginals. Two double sampling schemes with the second stage sampling being either a simple random sampling (SRS) or a ranked set sampling (RSS) are considered. Two common mean estimators are proposed. It is found that under normality, the proposed RSS common mean estimator is always superior to the proposed SRS common mean estimator and other existing estimators such as the RSS regression estimator proposed by Yu and Lam (1997, Biometrics, 53, 1070–1080). The problem of estimating the mean Reid Vapor Pressure (RVP) of regular gasoline based on field and laboratory data is considered. 相似文献
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Cost effective sampling design is a major concern in some experiments especially when the measurement of the characteristic of interest is costly or painful or time consuming.Ranked set sampling(RSS) was first proposed by McIntyre [1952. A method for unbiased selective sampling, using ranked sets. Australian Journal of Agricultural Research 3, 385-390]as an effective way to estimate the pasture mean. In the current paper, a modification of ranked set sampling called moving extremes ranked set sampling(MERSS) is considered for the best linear unbiased estimators(BLUEs) for the simple linear regression model. The BLUEs for this model under MERSS are derived. The BLUEs under MERSS are shown to be markedly more efficient for normal data when compared with the BLUEs under simple random sampling. 相似文献
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基于有序抽样样本的参数的极大似然估计的性质 总被引:1,自引:0,他引:1
有序抽样是一种新的抽样方法 ,与简单随机抽样方法相比它具有很多很好的性质 .本文讨论了在有序抽样样本下的参数的极大似然估计的性质 . 相似文献
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Gang Zheng Mohammad F. Al-Saleh 《Annals of the Institute of Statistical Mathematics》2002,54(3):641-658
The maximum livelihood estimator (MLE) using a ranked set sample (RSS) usually has no closed expression because the maximum likelihood equation involves both hazard and inverse hazard functions, and may no longer be efficient when the judgment ranking is imperfect. In this paper, we consider a modified MLE (MMLE) using RSS for general parameters, which has the same expression as the MLE using a simple random sample (SRS), except that the SRS in the MLE is replaced by the RSS. The results show that, for the location parameter, the MMLE is always more efficient than the MLE using SRS, and for the scale parameter, the MMLE is at least as efficient as the MLE using SRS, when the same sample size is used. Under the perfect judgment ranking, numerical examples also show that the MMLE has good efficiency relative to the MLE based on RSS. When the judgment error is present, we conduct simulations to show that the MMLE is more robust than the MLE using RSS. 相似文献
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Ranked-set sampling (RSS) often provides more efficient inference than simple random sampling (SRS). In this article, we propose
a systematic nonparametric technique, RSS-EL, for hypothesis testing and interval estimation with balanced RSS data using
empirical likelihood (EL). We detail the approach for interval estimation and hypothesis testing in one-sample and two-sample
problems and general estimating equations. In all three cases, RSS is shown to provide more efficient inference than SRS of
the same size. Moreover, the RSS-EL method does not require any easily violated assumptions needed by existing rank-based
nonparametric methods for RSS data, such as perfect ranking, identical ranking scheme in two groups, and location shift between
two population distributions. The merit of the RSS-EL method is also demonstrated through simulation studies.
This work was supported by National Natural Science Foundation of China (Grant No. 10871037) 相似文献
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序集抽样是一种适用于准确测量花费太高而排序费用可以忽略不记时的一种抽样方法.讨论了序集抽样下的对于一般分布族M估计的相合性和渐近正态性并且通过随机加权的方法来估计M估计的分布. 相似文献
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为了提高指数分布产品可靠度的估计效率,研究了基于排序集抽样方法的极大似然估计量(Maximum likelihood estimator,MLE),证明了新MLE具有存在性、唯一性和渐近正态性,并通过排序集样本的Fisher信息得到MLE的渐近方差。针对似然方程没有显式解的问题,利用部分期望法对MLE进行修正,并给出其具体表达式。渐近相对效率和模拟相对效率的研究结果表明:排序集抽样下MLE和修正MLE的估计效率都一致高于简单随机抽样下MLE。最后,将推荐方法应用到转移性肾癌的临床研究中。 相似文献
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The ranked-set sampling (RSS) is applicable in practical problems where the variable of interest for an observed item is costly or time-consuming but the ranking of a set of items according to the variable can be easily done without actual measurement. In this article, the M-estimates of location parameters using RSS data are studied. We deal mainly with symmetric location families. The asymptotic properties of M-estimates based on ranked-set samples are established. The properties of unbalanced ranked-set sample M-estimates are employed to develop the methodology for determining optimal ranked-set sampling schemes. The asymptotic relative efficiencies of ranked-set sample M-estimates are investigated. Some simulation studies are reported. 相似文献