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A circle covering problem and DNA breakage

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  • Holst, Lars

Abstract

Cowan, Collis and Grigg (1987) investigated a stochastic model for damage to certain types of double-stranded circular DNA. The model could be formulated as follows, Points are put at random on a circumference and marked by flipping a fair coin. Any two sufficiently close points with different marks breaks the circle. Let the random variable N be the number of points needed to get such a breakage. What can be said about N? In this paper we derive the distribution of N by a simple combinatorial argument and an approximation of it by Poisson approximation of a suitable U-statistic.

Suggested Citation

  • Holst, Lars, 1990. "A circle covering problem and DNA breakage," Statistics & Probability Letters, Elsevier, vol. 9(4), pages 295-298, April.
    • Handle: RePEc:eee:stapro:v:9:y:1990:i:4:p:295-298
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