, A note on the evaluation of fluctuation experiments, Mutation Research/Fundamental and Molecular Mechanisms of Mutagenesis, vol.479, issue.1-2, pp.207-224, 2001.
DOI : 10.1016/S0027-5107(01)00203-2
, An explicit representation of the Luria-Delbr??ck distribution, Journal of Mathematical Biology, vol.42, issue.2, pp.145-174, 2001.
DOI : 10.1007/s002850000053
, Branching Processes, 1972.
, On Age-Dependent Binary Branching Processes, The Annals of Mathematics, vol.55, issue.2, pp.280-295, 1952.
DOI : 10.2307/1969779
, Probability distribution of drug-resistant mutants in unselected populations of Mycobacterium tuberculosis, Appl. Microbiol, vol.205, pp.810-814, 1970.
, A limit theorem for the tails of discrete infinitely divisible laws with applications to fluctuation theory, Journal of the Australian Mathematical Society, vol.1, issue.03, pp.412-422, 1982.
DOI : 10.1007/BF02790433
, Mutations in two global regulators lower individual mortality in Escherichia coli, Molecular Microbiology, vol.180, issue.0, pp.2-14, 2008.
DOI : 10.1016/S0092-8674(00)80089-6
, Methods for Determining Spontaneous Mutation Rates, In: Method. Enzymol, vol.409, pp.195-213, 2006.
DOI : 10.1016/S0076-6879(05)09012-9
URL : http://europepmc.org/articles/pmc2041832?pdf=render
, A Simple Formula for Obtaining Markedly Improved Mutation Rate Estimates, Genetics, vol.180, issue.3, pp.1773-1778, 2008.
DOI : 10.1534/genetics.108.091777
URL : http://www.genetics.org/content/genetics/180/3/1773.full.pdf
, Statistics for the Luria-Delbr??ck distribution, Electronic Journal of Statistics, vol.6, issue.0, pp.1251-1272, 2012.
DOI : 10.1214/12-EJS711
, Luria-Delbrück Fluctuation Experiments: Design and Analysis, Genetics, vol.136, pp.1209-1216, 1994.
, Mutation and growth rates from Luria-Delbr??ck fluctuation tests, Mutation Research/Fundamental and Molecular Mechanisms of Mutagenesis, vol.95, issue.2-3, p.129, 1982.
DOI : 10.1016/0027-5107(82)90252-4
, The fixed-size Luria-Delbrück model with a nonzero death rate, Math. Biosci, vol.2101, pp.253-290, 2007.
, ABSTRACT, Applied and Environmental Microbiology, vol.79, issue.7, pp.2294-2301, 2013.
DOI : 10.1128/AEM.03629-12
, The distribution of the numbers of mutants in bacterial populations, Journal of Genetics, vol.32, issue.3, pp.264-285, 1949.
DOI : 10.1007/BF02986080
, Theory of Point Estimation. 2 e, 2003.
, THE FREQUENCY DISTRIBUTION OF SPONTANEOUS BACTERIOPHAGE MUTANTS AS EVIDENCE FOR THE EXPONENTIAL RATE OF PHAGE REPRODUCTION, Cold Spring Harbor Symp, pp.463-470, 1951.
DOI : 10.1101/SQB.1951.016.01.033
, Mutations of bacteria from virus sensitivity to virus resistance, Genetics, vol.286, pp.491-511, 1943.
, Analysis of the Luria???Delbr??ck distribution using discrete convolution powers, Journal of Applied Probability, vol.28, issue.02, pp.255-267, 1992.
DOI : 10.1016/0027-5107(82)90252-4
, Parameter Estimation for the Discrete Stable Family, Communications in Statistics - Theory and Methods, vol.37, issue.6, pp.6-7, 2008.
DOI : 10.1017/CBO9780511802256
, Fluctuation analysis on mutation models with birth-date dependence " . (submitted)
DOI : 10.1007/s11538-017-0357-3
URL : https://hal.archives-ouvertes.fr/hal-01637808
, Time Inhomogeneous Mutation Models with Birth Date Dependence, Bulletin of Mathematical Biology, vol.213, issue.7, pp.2929-2953, 2017.
DOI : 10.1098/rstb.1925.0002
URL : https://hal.archives-ouvertes.fr/hal-01415995
, flan: An R package for inference on mutation models url: https://journal. r-project.org/archive, In: The R Journal, 2017.
, R: A Language and Environment for Statistical Computing Vienna: R Foundation for Statistical Computing, 2008.
, Determining Mutation Rates in Bacterial Populations, Methods, vol.20, issue.1, 2000.
DOI : 10.1006/meth.1999.0901
URL : http://europepmc.org/articles/pmc2932672?pdf=render
, INFERENCE BASED ON THE EMPIRICAL PROBABILITY GENERATING FUNCTION FOR MIXTURES OF POISSON DISTRIBUTIONS, Statistics & Risk Modeling, vol.18, issue.4, pp.349-366, 2000.
DOI : 10.1524/strm.2000.18.4.349
, Aging and Death in an Organism That Reproduces by Morphologically Symmetric Division, PLoS Biology, vol.297, issue.2, pp.295-300, 2005.
DOI : 10.1371/journal.pbio.0030045.sv001
URL : https://hal.archives-ouvertes.fr/inserm-00080154
, Fluctuation Tests: How Reliable Are the Estimates of Mutation Rates, Genetics, vol.1374, pp.1139-1146, 1994.
, Fluctuation analysis: the probability distribution of the number of mutants under different conditions, Genetics, vol.1241, pp.175-185, 1990.
, All of Statistics: a concise course in statistical inference, 2004.
DOI : 10.1007/978-0-387-21736-9
, Drug-Susceptible Mycobacterium tuberculosis Beijing Genotype Does Not Develop Mutation-Conferred Resistance to Rifampin at an Elevated Rate, Journal of Clinical Microbiology, vol.41, issue.4, pp.1520-1524, 2003.
DOI : 10.1128/JCM.41.4.1520-1524.2003
URL : http://jcm.asm.org/content/41/4/1520.full.pdf
, Introduction to Robust Estimation and Hypothesis Testing. 3 e, 2012.
, Fluctuation Analysis: Can Estimates Be Trusted?, PLoS ONE, vol.30, issue.12, pp.1-12, 2013.
DOI : 10.1371/journal.pone.0080958.t006
URL : https://hal.archives-ouvertes.fr/hal-00944402
, Fluctuation analysis with cell deaths, J. Appl. Probab. Statist, vol.91, pp.13-29, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01003217
, Unbiased estimates of mutation rates under fluctuating final counts, PLoS One, vol.97, pp.1-10, 2014.
, Progress of a half century in the study of the Luria???Delbr??ck distribution, Mathematical Biosciences, vol.162, issue.1-2, pp.1-32, 1999.
DOI : 10.1016/S0025-5564(99)00045-0
, New algorithms for Luria-Delbrück fluctuation analysis, Math. Biosci, vol.1962, pp.198-214, 2005.
DOI : 10.1016/j.mbs.2005.03.011