DUS(Distinctness,Uniformity and Stability)测试是对申请品种权的植物新品种的特异性、一致性和稳定性进行测试。DUS测试结果直接影响到植物新品种是否能被授予保护权。在DUS测试中,数量性状是完成品种描述和进行特异性判定的重要部分...DUS(Distinctness,Uniformity and Stability)测试是对申请品种权的植物新品种的特异性、一致性和稳定性进行测试。DUS测试结果直接影响到植物新品种是否能被授予保护权。在DUS测试中,数量性状是完成品种描述和进行特异性判定的重要部分,而数量性状的调查花费人工最多、工作量最大,怎样能缩小工作量又能反映数量性状调查的准确性,这是该试验研究的目的。目前,玉米测试指南已经成为国家指南,指南要求每个数量性状测量40个数据。作者利用10个测试品种、全株10个数量性状,对每个性状的40个已测样本进行统计分析,根据抽样分布理论和区间估计的方法确定每个性状的最小取样容量。展开更多
Detecting differential expression of genes in genom research(e.g.,2019-nCoV)is not uncommon,due to the cost only small sample is employed to estimate a large number of variances(or their inverse)of variables simultane...Detecting differential expression of genes in genom research(e.g.,2019-nCoV)is not uncommon,due to the cost only small sample is employed to estimate a large number of variances(or their inverse)of variables simultaneously.However,the commonly used approaches perform unreliable.Borrowing information across different variables or priori information of variables,shrinkage estimation approaches are proposed and some optimal shrinkage estimators are obtained in the sense of asymptotic.In this paper,we focus on the setting of small sample and a likelihood-unbiased estimator for power of variances is given under the assumption that the variances are chi-squared distribution.Simulation reports show that the likelihood-unbiased estimators for variances and their inverse perform very well.In addition,application comparison and real data analysis indicate that the proposed estimator also works well.展开更多
文摘DUS(Distinctness,Uniformity and Stability)测试是对申请品种权的植物新品种的特异性、一致性和稳定性进行测试。DUS测试结果直接影响到植物新品种是否能被授予保护权。在DUS测试中,数量性状是完成品种描述和进行特异性判定的重要部分,而数量性状的调查花费人工最多、工作量最大,怎样能缩小工作量又能反映数量性状调查的准确性,这是该试验研究的目的。目前,玉米测试指南已经成为国家指南,指南要求每个数量性状测量40个数据。作者利用10个测试品种、全株10个数量性状,对每个性状的40个已测样本进行统计分析,根据抽样分布理论和区间估计的方法确定每个性状的最小取样容量。
基金Supported by the National Natural Science Foundation of China(11971433)First Class Discipline of Zhejiang-A(Zhejiang Gongshang University-Statistics)Hunan Soft Science Research Project(2012ZK3064)
文摘Detecting differential expression of genes in genom research(e.g.,2019-nCoV)is not uncommon,due to the cost only small sample is employed to estimate a large number of variances(or their inverse)of variables simultaneously.However,the commonly used approaches perform unreliable.Borrowing information across different variables or priori information of variables,shrinkage estimation approaches are proposed and some optimal shrinkage estimators are obtained in the sense of asymptotic.In this paper,we focus on the setting of small sample and a likelihood-unbiased estimator for power of variances is given under the assumption that the variances are chi-squared distribution.Simulation reports show that the likelihood-unbiased estimators for variances and their inverse perform very well.In addition,application comparison and real data analysis indicate that the proposed estimator also works well.
