منابع مشابه
Stirling Distributions and Stirling
The left-truncated generalized Poisson distribution belongs to the family of the modified power series distributions. Using sufficiency and completeness of £ ^ x . (minx , , $ 3 x 0 ) respectively, when the truncation point is known (resp. unknown), the minimum variance unbiased (M.V.U) estimator for certain functions of the parameter $ (resp. 0, r) involved in these distributions can be obtain...
متن کاملStirling COGNITIVE
This research began as an examination of the problem solving strategies of individuals who believe they can control reinforcements they recelve (internals) and those who believe that outside forces control reinforcements (externals) under different conditions of skill and chance. This developed into a study of the cognitive functioning of internals and externals in concept formation tasks. Inte...
متن کاملLog-concavity of Stirling Numbers and Unimodality of Stirling Distributions
A series of inequalities involving Stirling numbers of the first and second kinds with adjacent indices are obtained. Some of them show log-concavity of Stirling numbers in three different directions. The inequalities are used to prove unimodality or strong unimodality of all the subfamilies of Stirling probability functions. Some additional applications are also presented.
متن کاملLegendre - Stirling Permutations ∗ Eric
We first give a combinatorial interpretation of Everitt, Littlejohn, and Wellman’s Legendre-Stirling numbers of the first kind. We then give a combinatorial interpretation of the coefficients of the polynomial (1 − x) ∑∞ n=0 { n+k n } x analogous to that of the Eulerian numbers, where { n k } are Everitt, Littlejohn, and Wellman’s Legendre-Stirling numbers of the second kind. Finally we use a r...
متن کاملMulti-Restrained Stirling Numbers
Given positive integers n, k, and m, the (n, k)-th mrestrained Stirling number of the first kind is the number of permutations of an n-set with k disjoint cycles of length ≤ m. Inverting the matrix consisting of the (n, k)-th m-restrained Stirling number of the first kind as the (n+1, k +1)-th entry, the (n, k)-th m-restrained Stirling number of the second kind is defined. In this paper, the mu...
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ژورنال
عنوان ژورنال: Proceedings of the Nova Scotian Institute of Science (NSIS)
سال: 2004
ISSN: 2292-7743
DOI: 10.15273/pnsis.v42i2.3618