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农业调查中利用多年轮换抽样设计进行估计AI 解读

In the annual June Enumerative Surveys (JES) of the U.S. Department of Agriculture (USDA), the area frame sampling involves multiyear rotation designs with 20% replacement of sample units each year. Currently, USDA uses the latest year sample data almost exclusively in its estimation procedure. We propose that the multiyear sample survey data should be used for estimation of crop acreages and livestock. We develop a multiyear estimation method based on an analysis of…

农业调查中利用多年轮换抽样设计进行估计AI 解读

In the annual June Enumerative Surveys (JES) of the U.S. Department of Agriculture (USDA), the area frame sampling involves multiyear rotation designs with 20% replacement of sample units each year. Currently, USDA uses the latest year sample data almost exclusively in its estimation procedure. We propose that the multiyear sample survey data should be used for estimation of crop acreages and livestock. We develop a multiyear estimation method based on an analysis of…

有限总体均值的渐近设计无偏估计量AI 解读

Certain regression-type estimators of a finite population mean are examined for their asymptotic design properties. A sufficient condition that implies the design-consistency or asymptotic design-unbiasedness is discussed for a general regression estimator. The leading term of its asymptotic bias is explicitly derived when this condition holds as well as when it does not hold.

有限总体均值估计量的渐近设计无偏性AI 解读

Certain regression-type estimators of a finite population mean are examined for their asymptotic design properties. A sufficient condition that implies the design-consistency or asymptotic design-unbiasedness is discussed for a general regression estimator. The leading term of its asymptotic bias is explicitly derived when this condition holds as well as when it does not hold.

训练样本错分下的线性判别分析AI 解读

Linear discriminant analysis for a two-class case is studied in the presence of misallocation in training samples. A general approach to modeling of misallocation is formulated, and the mean vectors and covariance matrices of the mixture distributions are derived. The asymptotic distribution of the discriminant boundary is obtained, and the asymptotic first two moments of the error rates are given. Certain numerical results for the error rates are presented by considering…

逆高斯分布函数的估计AI 解读

Minimum variance unbiased estimates of the inverse Gaussian distribution function for all possible cases are given. A direct relationship is established between its density function and the normal density function, which throws more light on its salient features and possibly on its application in statistical inference. It is shown that the estimates are very similar in nature to those of the normal distribution and can be evaluated from the normal and Student's t…