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The kin number problem in a multitype Galton-Watson population.
Journal of Applied Probability ( IF 1 ) Pub Date : 1985-03-01
A Joffe , Waugh Wao

"The kin number problem in its simplest form is that of the relationship between sibship sizes and offspring numbers.... Further studies have been made, concerning relatives of other degrees of affinity than siblings, but these did not usually yield joint distributions. Recently this aspect of the problem has been studied in the framework of a Galton-Watson process.... In these studies the population is treated as monotype. Applications such as pedigree studies of diseases require a multitype approach (in the example, two types: victims and others). In this paper such a study is undertaken." Problems and questions involved in this type of approach are discussed, and joint distributions are obtained under a number of sampling schemes.

中文翻译:

多类型高尔顿-沃森人口中的亲属数问题。

“亲属数量问题最简单的形式是同胞子女数量与后代数量之间的关系……。已经进行了进一步的研究,涉及与兄弟姐妹相比亲近度不同的亲戚,但这些亲戚通常不会产生联合分布。最近在Galton-Watson过程的框架内研究了问题的这一方面..在这些研究中,人口被视为单一类型。诸如疾病的谱系研究等应用需要多种类型的方法(在示例中,有两种类型:受害者和其他人。)在本文中进行了这样的研究。” 讨论了这种方法所涉及的问题,并在许多采样方案下获得了联合分布。
更新日期:2019-11-01
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