# 第 3 章 统计模型

## 3.4 空间广义线性混合效应模型

### 3.4.2 自协方差函数

\begin{aligned} I_{-\kappa}(u) & = \sum_{m=0}^{\infty} \frac{1}{m!\Gamma(m + \kappa + 1)} \big(\frac{u}{2}\big)^{2m + \kappa} \\ \mathcal{K}_{\kappa}(u) & = \frac{\pi}{2} \frac{I_{-\kappa}(u) - I_{\kappa}(u)}{\sin (\kappa \pi)} \end{aligned} \tag{3.8}

## 3.5 本章小结

### 参考文献

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Diggle, Peter J., and Paulo J. Ribeiro Jr. n.d. Model-Based Geostatistics. New York, NY: Springer-Verlag.

Diggle, Peter J., J. A. Tawn, and R. A. Moyeed. 1998. “Model-Based Geostatistics.” Journal of the Royal Statistical Society, Series C 47 (3): 299–350.

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Nelder, John A., and R. W. M. Wedderburn. 1972. “Generalized Linear Models.” Journal of the Royal Statistical Society, Series A 135 (3): 370–84.

Yang, Jian, Beben Benyamin, Brian P Mcevoy, Scott Gordon, Anjali K Henders, Dale R Nyholt, Pamela A Madden, Andrew C Heath, Nicholas G Martin, and Grant W Montgomery. 2010. “Common Snps Explain a Large Proportion of Heritability for Human Height.” Nature Genetics 42 (7): 565–69.

1. 变差来源于采矿术语(Krige 1951)