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JSAI Technical Report, Type 2 SIG
The purpose of this paper is to discuss the discrete probability distribution function induced from the modified bucket sorting. The distribution is related to the unique sequence called "Eulerian Numbers" proposed by Euler (1755). There are sensitive differences between a derivation process of our proposal and Eulerian numbers expressed as a number of permutation runs. Recurrence relation for the moments of the distribution is also given. The mean, variance and higher order cumulants aredoi:10.11517/jsaisigtwo.2008.dmsm-a801_04 fatcat:ucrn6iuzandehljxpzwowbqsgm