2012/04/14 by C. Georghiou, Constantinos Georghiou, Ανδρέας Ν. Φιλίππου +5
Engineering · Mathematics · #11B37 #39B05 #60E05 #Advanced Numerical Analysis Techniques #Compound Poisson distribution #Distribution (mathematics) #Economics #FOS: Mathematics #Mathematical analysis #Mathematics #Order (exchange) #Physics #Poisson distribution #Poisson regression #Sociology #Statistical physics #Statistics #Statistics Theory (math.ST) #Zero-inflated model #math.ST #msc:11B37 #msc:39B05 #msc:60E05 #stat.TH
paper · pdf · doi:10.48550/arxiv.1204.3186
This article is related to several papers published in the Fibonacci Quarterly and solves partially an open problem since 1983, which was posed again and published in the Proceedings of the Thirteenth International Conference on Fibonacci Numbers and their Applications, Congressus Numerantium, 201 (2010), 382-383
openalex publication_date 2012/04/14 · arxiv created 2013/01/04 · arxiv updated 2013/01/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Sharp upper and lower bounds are established for the modes of the Poisson distribution of order k. The lower bound established in this paper is better than the previously established lower bound. In addition, for k = 2, 3, 4, 5, a recent conjecture is presently proved solving partially an open problem since 1983.