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女性队列首次结婚频数的年龄分布AI 解读

The schedule recording first marriage frequencies has been shown to take the same basic form in different populations, with differences only in the origin, area, and horizontal scale. It is shown here that a representative schedule is very closely approximated by a simple closed form frequency function, which is the limiting distribution of the convolution of an infinite number of exponentially distributed components. The schedule is approximated equally well by the…

分组数据下多元检验的渐近功效AI 解读

Summary In many situations (see, for example, Bennett, 1962), random variables which may be assumed to have a multivariate normal distribution cannot be measured exactly, but are each given one of a discrete number (usually two) of scores. One is therefore concerned with the problem of making inferences about the parameters of a multivariate normal distribution when the data are grouped. In this paper we consider the problem of testing the hypothesis that the mean vector is…

数据分组导致的分布无关检验效率损失AI 解读

While distribution-free procedures are often appropriate when testing statistical hypotheses, they may become complicated or involve loss of power when the data are grouped. For rank tests the ties caused by grouping are generally broken either by using a randomization procedure or averaging the tied ranks. In this paper the power loss due to equi-spaced grouping (in terms of Pitman asymptotic relative efficiency) is investigated for some commonly used tests, for each method…

数据分组导致的分布无关检验效率损失AI 解读

While distribution-free procedures are often appropriate when testing statistical hypotheses, they may become complicated or involve loss of power when the data are grouped. For rank tests the ties caused by grouping are generally broken either by using a randomization procedure or averaging the tied ranks. In this paper the power loss due to equi-spaced grouping (in terms of Pitman asymptotic relative efficiency) is investigated for some commonly used tests, for each method…

从削波平稳时间序列估计协方差与谱密度函数AI 解读

Summary When estimating the covariance functions of a stationary time series from a digitalized record, adjustments to the estimates must be made to correct for the bias caused by digitalizing. In this paper we investigate a method which provides consistent estimates of the covariance and the spectral density functions, and discuss their asymptotic efficiencies.

分组样本中用于估计与假设检验的一致统计量AI 解读

This paper deals with the problem of making statistical inferences about an unknown parameter in the case when the smaple is grouped at the mid-points of equispaced intervals. The main discussion is concerned with a method which leads to consistent statistics, and with the asymptotic efficiency of these statistics compared to (a) the same statistics with ungrouped data, and (b) the maximum likelihood statistics. Unlike previous corrections or grouping, due to Sheppard and…