Remarks on the asymptotics of the Luria--Delbrück and related distributions
Qi Zheng
Source: J. Appl. Probab. Volume 46, Number 4
(2009), 1221-1224.
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Permanent link to this document: http://projecteuclid.org/euclid.jap/1261670701
Digital Object Identifier: doi:10.1239/jap/1261670701
Mathematical Reviews number (MathSciNet): MR2582719
Zentralblatt MATH identifier: 1185.60014
References
Flajolet, P. and Odlyzko, A. (1990). Singularity analysis of generating functions. SIAM J. Discrete Math. 3, 216--240.
Mathematical Reviews (MathSciNet): MR1039294
Zentralblatt MATH: 0712.05004
Digital Object Identifier: doi:10.1137/0403019
Goldie, C. M. (1995). Asymptotics of the Luria-Delbrück distribution. J. Appl. Prob. 32, 840--841.
Mathematical Reviews (MathSciNet): MR1344082
Digital Object Identifier: doi:10.2307/3215135
JSTOR: links.jstor.org
Jaeger, D. and Sarkar, S. (1995). On the distribution of bacterial mutants: the effects of differential fitness of mutants and non-mutants. Genetica 96, 217--223.
Kemp, A. W. (1994). Comments on the Luria-Delbrück distribution. J. Appl. Prob. 31, 822--828.
Mathematical Reviews (MathSciNet): MR1285519
Digital Object Identifier: doi:10.2307/3215159
JSTOR: links.jstor.org
Ma, W. T., Sandri, G. vH. and Sarkar. S. (1992). Analysis of the Luria-Delbrück distribution using discrete convolution powers. J. Appl. Prob. 29, 255--267.
Mathematical Reviews (MathSciNet): MR1165212
Digital Object Identifier: doi:10.2307/3214564
JSTOR: links.jstor.org
Pakes, A. G. (1993). Remarks on the Luria-Delbrück distribution. J. Appl. Prob. 30, 991--994.
Mathematical Reviews (MathSciNet): MR1242029
Digital Object Identifier: doi:10.2307/3214530
JSTOR: links.jstor.org
Prodinger, H. (1996). Asymptotics of the Luria-Delbrück distribution via singularity analysis. J. Appl. Prob. 33, 282--283.
Mathematical Reviews (MathSciNet): MR1371974
Digital Object Identifier: doi:10.2307/3215284
JSTOR: links.jstor.org
Stewart, F. M. (1991). Fluctuation analysis: the effect of plating efficiency. Genetica 54, 51--55.
Zheng, Q. (1999). Progress of a half century in the study of the Luria-Delbrück distribution. Math. Biosci. 162, 1--32.
Mathematical Reviews (MathSciNet): MR1726870
Digital Object Identifier: doi:10.1016/S0025-5564(99)00045-0
Zheng, Q. (2008). A note on plating efficiency in fluctuation experiments. Math. Biosci. 216, 150--153.
Mathematical Reviews (MathSciNet): MR2477001
Zentralblatt MATH: 1153.92024
Digital Object Identifier: doi:10.1016/j.mbs.2008.09.002
Zheng, Q. (2008). On Bartlett's formulation of the Luria-Delbrück mutation model. Math. Biosci. 215, 48--54.
Mathematical Reviews (MathSciNet): MR2459528
Digital Object Identifier: doi:10.1016/j.mbs.2008.05.005
Journal of Applied Probability