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math.PR2017
A note on the modes of the negative binomial distribution of order k, type I
Costas Georghiou, Andreas N. Philippou, Zaharias M. Psillakis
Upper and lower bounds are derived for the mode(s) of the negative binomial distribution of order k, type I, with parameters r and p, which are employed to establish an explicit fo…
math.PR2013★ 4 cited
A Note on the Modes of the Poisson Distribution of Order k
Andreas N. Philippou
It is shown that for any positive integer k and positive parameter lambda less than 2/k(k+1), the Poisson distribution of order k with parameter lambda has a unique mode, 0. In add…