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协方差分量估计量的精确一阶与二阶矩AI 解读

This paper develops formulae for the first two moments of estimates of covariance for the general multivariate ‘one-way’ and ‘two-way’ models. The results are used to obtain the large sample dispersion matrix for estimated coefficients of two types of genetic selection indexes. These dispersion matrices provide the necessary extension of known results in balanced models to the unbalanced case.

正态总体的平面截断AI 解读

Summary This paper considers the truncation of normal distributions by means of planes. The moment-generating function for the truncated distribution is obtained, and it is shown that, by suitable transformations, the problem reduces to the case of rectangular truncation.

离散数据相关性估计的进一步模型AI 解读

Summary This note considers the distribution of the sum of n identically distributed multinomial variates Xi, the correlation coefficient for Xi and Xj being ρ for all i, j, i ≠ j. The initial model, with n and p' = (p1, p2,…,pk) fixed, is generalized by allowing first n, then p and finally both n and p to be random variables.

用广义多项分布估计离散数据的相关性AI 解读

SUMMARY This paper presents a joint distribution for n identically distributed multinomial variates, Xq. The distribution is constructed so that C(Xq, Xr) = pV(X) for all q and r, q≠r, and applications of this model to the estimation of correlation in discrete data are discussed.

截断多元正态分布的矩母函数AI 解读

SUMMARY In this paper the moment generating function (m.g.f.) of the truncated n-dimensional normal distribution is obtained. From the m.g.f., formulae for E(Xi) and E(Xi Xj) are derived, and are used to investigate certain special cases. Some applications of these results to statistical genetics are also discussed.