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The probability that related individuals share some section of genome identical by descent. (English) Zbl 0521.92011

MSC:
92D10 Genetics and epigenetics
60G50 Sums of independent random variables; random walks
Software:
nag; NAG
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References:
[1] Bailey, N.T.J., Introduction to the theory of genetic linkage, (1961), Oxford Univ. (Clarendon) Press Oxford · Zbl 0115.37202
[2] Bennett, J.H., Junctions and inbreeding, Genetica, 26, 392-406, (1953)
[3] Bennett, J.H., The distribution of heterogeneity upon inbreeding, J. roy. statist. soc, 16, 88-99, (1954) · Zbl 0055.38004
[4] Conneally, P.M.; Rivas, M.L., Linkage analysis in man, Advan. human genet, 10, 209-266, (1980)
[5] Donnelly, K.P., Genetic linkage, detectable relationship and other topics, ()
[6] Edwards, A.W.F., Automatic construction of genealogies from phenotypic information (AUTOKIN), Bull. eur. soc. human genet, 1, 42-43, (1967)
[7] Fisher, R.A., The theory of inbreeding, (1949), Oliver & Boyd Edinburgh · Zbl 0040.22603
[8] Fisher, R.A., A fuller theory of junctions, Heredity, 8, 187-197, (1954)
[9] Fisher, R.A., An algebraically exact examination of junction formation and transmission in parent offspring breeding, Heredity, 13, 179-186, (1959)
[10] Franklin, I.R., The distribution of the proportion of the genome which is homozygous by descent in inbred individuals, Theor. pop. biol, 11, 60-80, (1977) · Zbl 0346.92017
[11] Green, J.A., Sets and groups, (1965), Routledge & Kegan Paul London
[12] Karlin, S.; Taylor, H.M., A first course in stochastic processes, (1975), Academic Press New York · Zbl 0315.60016
[13] Maynard-Smith, S.; Penrose, L.A.; Smith, C.A.B., Mathematical tables for research workers in human genetics, (1961), Churchill London
[14] (), Mark 7
[15] Parzen, E., Stochastic processes, (1962), Holden-Day San Francisco · Zbl 0107.12301
[16] Renwick, J.H., The mapping of human chromosomes, Ann. rev. genet, 5, 81-120, (1971)
[17] Schnell, F.W., Some general formulations of linkage effects in inbreeding, Genetics, 46, 947-957, (1961)
[18] Smith, C.A.B., Concepts of random mating and the frequency of consanguineous marriages, (), 176-177, Discussion to J. Hajnal
[19] Stam, P., The distribution of the fraction of the genome identical by descent in finite random mating populations, Genet. res., Cambridge, 35, 131-155, (1980)
[20] Thompson, E.A., Mathematical analysis of human evolution and population structure, ()
[21] Thompson, E.A., Gene identities and multiple relationships, Biometrics, 30, 667-680, (1974) · Zbl 0292.92004
[22] Thompson, E.A., The estimation of pairwise relationships, Ann. hum. genet, 39, 173-188, (1975) · Zbl 0316.92007
[23] Thompson, E.A., Inference of genealogical structure, Soc. sci. inform, 15, 477-526, (1976)
[24] Wielandth, H., Finite permutation groups, (1964), Academic Press New York
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