A Conjecture on the Modes of the Poisson Distribution of Order $k$ (Open)

Summary: This problem involves the modes of a Poisson distribution of order $k$. Proof is sought for an identity suggested by numerical calculation.

Classification: Primary, Probability and Statistics; Secondary, Other (Identities in Probability)

A. N. Philippou
Section of Statistics and Probability
University of Patras
Patras, Greece
Email: anphilip@math.upatras.gr
Phone: 0030 2610 997383

A. Saghafi
Iran University of Science & Technology
Tehran, Iran

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