An Index of Genealogical Relatedness Derived from a Genetic Model
Lloyd, Stuart P. ; Mallows, Colin L.
Ann. Probab., Tome 1 (1973) no. 5, p. 758-771 / Harvested from Project Euclid
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The coefficient de parente $\sigma(x, y)$ of Malecot, which measures the genealogical relatedness of individuals $x$ and $y$, is derived as a correlation coefficient of certain genotype scores. An explicit formula is given for $\sigma(x, y)$ involving path sums in the ancestral charts of $x$ and $y$. The expected value of $\sigma(x, y)$ is worked out for certain random population models.
Publié le : 1973-10-14
Classification:  Genealogical index,  Malecot coefficient,  92A10,  60J99 
@article{1176996844,
     author = {Lloyd, Stuart P. and Mallows, Colin L.},
     title = {An Index of Genealogical Relatedness Derived from a Genetic Model},
     journal = {Ann. Probab.},
     volume = {1},
     number = {5},
     year = {1973},
     pages = { 758-771},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176996844}
}

Lloyd, Stuart P.; Mallows, Colin L. An Index of Genealogical Relatedness Derived from a Genetic Model. Ann. Probab., Tome 1 (1973) no. 5, pp.  758-771. http://gdmltest.u-ga.fr/item/1176996844/