Analysis of the Luria–Delbrück distribution using discrete convolution powers

Journal of Applied Probability - Tập 29 Số 2 - Trang 255-267 - 1992
W. T.1, G. Sandri1, Sahotra Sarkar1
1Boston University

Tóm tắt

The Luria–Delbrück distribution arises in birth-and-mutation processes in population genetics that have been systematically studied for the last fifty years. The central result reported in this paper is a new recursion relation for computing this distribution which supersedes all past results in simplicity and computational efficiency:p0=e–m;wheremis the expected number of mutations. A new relation for the asymptotic behavior ofpn(≈c/n2) is also derived. This corresponds to the probability of finding a very large number of mutants. A formula for thez-transform of the distribution is also reported.

Từ khóa


Tài liệu tham khảo

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Thông tin
Thông tin xuất bản

Journal of Applied Probability

Tập 29 Số 2

255-267

Thông tin tác giả