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On Sampling and the Estimation of Rare Errors
稀少记录错误的抽样与估计
For each individual in a finite population a recorded value is available. A small proportion of the values is in error, all the errors being of the same sign and the maximum fractional error being known. It is required to obtain an upper confidence limit for the total error in the population. Various solutions, including a Bayesian one, are discussed for sampling with probability proportional to the recorded values, and the appropriateness of this form of sampling is…
On sampling and the estimation of rare errors
稀少记录误差的抽样与估计
For each individual in a finite population a recorded value is available. A small proportion of the values is in error, all the errors being of the same sign and the maximum fractional error being known. It is required to obtain an upper confidence limit for the total error in the population. Various solutions, including a Bayesian one, are discussed for sampling with probability proportional to the recorded values, and the appropriateness of this form of sampling is…
On Test Statistics Calculated from Residuals
论由残差计算的检验统计量
In an earlier paper the authors gave a general definition of residuals and derived some asymptotic properties. In the present paper the results are extended to study test statistics computed from residuals.
On test statistics calculated from residuals
由残差计算的检验统计量
In an earlier paper the authors gave a general definition of residuals and derived some asymptotic properties. In the present paper the results are extended to study test statistics computed from residuals.
A General Definition of Residuals
残差的一般定义
Summary Residuals are usually defined in connection with linear models. Here a more general definition is given and some asymptotic properties found. Some illustrative examples are discussed, including a regression problem involving exponentially distributed errors and some problems concerning Poisson and binomially distributed observations.