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Genetic diversity of BoLA-DRB3 in Latin American Creole cattle: an update of the state of the art. [PDF]
Marcuzzi O +13 more
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Genetic prediction with ARG-powered linear algebra. [PDF]
Lee H +4 more
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Exploring genetic diversity and variation of Ovar-DRB1 gene in Sudan Desert Sheep using targeted next-generation sequencing. [PDF]
Salim B +7 more
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Statistics Related with Ewens Sampling Formula
SpringerBriefs in Statistics, 2020For the Ewens sampling formula, the number of distinct components is written as a sum of one and independent Bernoulli random variables almost surely. Therefore, as approximation to the distribution of the number, we consider shifted Poisson and binomial distributions.
Hajime Yamato
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The population structure associated with the Ewens sampling formula
Theoretical Population Biology, 1977Abstract Models for selectively neutral mutation, in which mutation always yields a new allele, seem always to lead, in the limit of large population size, to a sampling formula first propounded by Ewens in 1972. It is shown that the asymptotic validity of the Ewens formula is equivalent to a certain limiting joint distribution for the allele ...
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Convergence time to the Ewens sampling formula in the infinite alleles Moran model
Journal of Mathematical Biology, 2009In this paper, we establish an upper bound for time to convergence to stationarity for the discrete time infinite alleles Moran model. If M is the population size and mu is the mutation rate, this bound gives a cutoff time of log(Mmu)/mu generations. The stationary distribution for this process in the case of sampling without replacement is the Ewens ...
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RANDOM PERMUTATIONS AND THE EWENS SAMPLING FORMULA IN GENETICS
1999E Manstavičius
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Refined approximations for the Ewens sampling formula
Advances in Applied Probability, 1992AbstractThe Ewens sampling formula is a family of probability distributions over the space of cycle types of permutations ofnobjects, indexed by a real parameter θ. In the case θ = 1, where the distribution reduces to that induced by the uniform distribution on all permutations, the joint distributions of the numbers of cycles of lengths less thanb = o(
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Robustness of the Ewens sampling formula
Journal of Applied Probability, 1995Under the assumptions of the neutral infinite alleles model,K(the total number of alleles present in a sample) is sufficient for estimatingθ(the mutation rate). This is a direct result of the Ewens sampling formula, which gives a consistent, asymptotically normal estimator forθbased onK.
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Limit Processes with Independent Increments for the Ewens Sampling Formula
Annals of the Institute of Statistical Mathematics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babu, Gutti Jogesh +1 more
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