| Abstract |
The Ewens sampling formula is well-known as the distribution of a random partition of the set of integers {1, 2, …,n}. For the number Kn of distinct components of the formula, Kn has the asymptotic no...rmality and its distribution is approximated by the Poisson distribution (see, for example, Arratia et al. (2003)). But, there is no research on the relation between Kn and the binomial distribution, as far as the author knows. We give the approximations to the distribution of Kn by using the shifted bimonial distribution and several examples by illustration.show more
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