Yu Chang, Zelterman Daniel
Department of Biostatistics, School of Medicine, Vanderbilt University, Nashville, TN 37232, USA.
Comput Stat Data Anal. 2008 Jan 1;52(3):1636-1649. doi: 10.1016/j.csda.2007.05.016.
We describe new families of discrete distributions that are used to model sums of exchangeable Bernoulli random variables. These discrete distributions can be parameterized in terms of their range, mean, variance, and shape parameters. These models are fitted to an example involving mortality rates for children in a survey of families in Brazil. The methods illustrate that mortality rates in this survey increase with family size and that the correlation of within-family mortality status also depends on the family size. These methods are also applied to a laboratory study of birth defects in mice.
我们描述了用于对可交换伯努利随机变量之和进行建模的离散分布新族。这些离散分布可以根据其范围、均值、方差和形状参数进行参数化。这些模型被应用于一个涉及巴西家庭调查中儿童死亡率的示例。这些方法表明,该调查中的死亡率随家庭规模增加,并且家庭内部死亡状况的相关性也取决于家庭规模。这些方法还应用于小鼠出生缺陷的实验室研究。