Abstract
R.A. Fisher [1] gave an interesting application of iteration theory to the laws of breeding a new gene in an unbounded population. Recently J.F. Steffenson [2] gave a detailed exposition of the probability that all offspring from an individual die out. Both these questions are, however, mathematically identical. After giving a brief statement of the problem and recapitulating the known results,1 we will give several additions to the results by Fisher and Steffenson in certain directions.
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Izv. NII Mat. Mekh. Tomsk. Univ.2:1 (1938), 7-12 (in Russian).
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References
R.A. Fisher, The genetic theory of natural selection, Oxford, 1930.
J.F. Steffenson, ‘Deux problèmes du calcul des probabilités’, Ann. Inst. H. Poincaré 3 (1933), 331–334.
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© 1992 Springer Science+Business Media Dordrecht
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Shiryayev, A.N. (1992). Solution of A Biological Problem. In: Shiryayev, A.N. (eds) Selected Works of A. N. Kolmogorov. Mathematics and Its Applications (Soviet Series), vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2260-3_25
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DOI: https://doi.org/10.1007/978-94-011-2260-3_25
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