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Article
On a generalization of Morisita's model for estimating the habitat preference
The Morisita's model for estimating the habitat preference by the ant lionsGenuroides japonicus is generalized by introducing, in addition to the environmental densitiesa andb, a repulsivity parameter ϑ. The prob...
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Article
On a generalized Eulerian distribution
The distribution with probability function p k(n, α, β) = A n, k(α, β)/(α+ β)[p], k = 0, 1, 2, ..., n, where the parameters α and β are positive real numbers, A n, k (α, β) is t...
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Article
On discrete distributions of orderk
The class of discrete distributions of orderk is defined as the class of the generalized discrete distributions with generalizer a discrete distribution truncated at zero and from the right away fromk+1. The prob...
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Article
The asymptotic normality of certain combinatorial distributions
The numbersC(m, n, s) and |C(m, n, −s)|,s>0, appearing in then-fold convolution of truncated binomial and negative binomial distributions, respectively, are shown to be asymptotically normal. Moreover a concavity...