The conditioned diffusion equation and its use in population genetics

Narain, P. (1974) The conditioned diffusion equation and its use in population genetics Journal of the Royal Statistical Society, 36 (2). pp. 258-266. ISSN 1369-7412

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Official URL: http://www.jstor.org/pss/2984815

Abstract

The forward and backward conditioned diffusion equations relative to the event of the process attaining absorption in one of the boundaries have been derived from the corresponding Kolmogorov differential equations. The backward conditioned diffusion equation has been used to derive the mean and variance of the length of time until absorption in one of the boundaries. The general results so obtained have been applied to the problem of random drift in population genetics, giving the means and variances of the distributions of time until fixation as well as of time until extinction of a particular gene in a finite population.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons.
Keywords:Conditioned Diffusion Equation; Conditional Diffusion Process in Genetics; Diffusion Approach and Fixation of a Gene; Absorption time by Diffusion Theory
ID Code:72236
Deposited On:28 Nov 2011 12:09
Last Modified:28 Nov 2011 12:09

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