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On the generalized Euler distribution

✍ Scribed by Lakdere Benkherouf; Abdulhamid A. Alzaid


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
275 KB
Volume
18
Category
Article
ISSN
0167-7152

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The distribution with probability function pk(n, ~, t3) = A,~,k(a, fl)/(a + fl)[n] k = 0, 1, 2,..., n, where the parameters a and /3 are positive real numbers, An,k (~, fl) is the generalized Eulerian number and (a + fl)[n] = (a + fl)(a +/3 + 1)--. (c~ + fl + n -1), introduced and discussed by Janar