A new discrete distribution induced by the Luria-Delbrück mutation model.
Abstract
In this paper, we study a limiting distribution induced by Bartlett's formulation of the Luria–Delbrück mutation model. We establish the validity of the probability generating function and devise an algorithm for computing the probability mass function. Maximum-likelihood estimation and asymptotic behaviour of the distribution are considered.
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The fourth mutant distribution is a special case of the relatively new B0 distribution (Zheng 2010).
“The fourth mutant distribution is a special case of the relatively new B0 distribution (Zheng 2010).”
From rSalvador: An R Package for the Fluctuation Experiment (2017) · cites this paper as Zheng 2010
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rSalvador: An R Package for the Fluctuation Experiment
Zheng, Q. (2017) · G3 Genes|Genomes|Genetics · doi:10.1534/g3.117.300120 · Cited by 98 · see citing works
“The fourth mutant distribution is a special case of the relatively new B 0 distribution (Zheng 2010).”
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- Authors
- Zheng, Q.
- Affiliations
- Texas A&M Health Science Center (US)
- Corresponding author
- Zheng, Qi
- Venue
- Statistics
- Publisher
- Informa UK Limited
- Published
- 2010-10
- Volume
- 44
- Issue
- 5
- Pages
- 529-540
- ISSN
- 0233-1888 (ISSN-L)
- 1029-4910
- OpenAlex
- W1976914663
- Cited by
- 5
- References
- 21
- Citations by year
- 2023: 1 · 2022: 1 · 2017: 1 · 2016: 1
- FWCI
- 0.28
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Statistics (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Keywords
- discrete distributions, asymptotic distribution, probability generating function, probability mass function, maximum likelihood estimation, asymptotic behavior
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