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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50900

Title: Random unfriendly seating arrangement in a dining table
Authors: Hua Huai Chern
Hsien Kuei Hwang
Tsung-hsi Tsai
Contributors: 國立臺灣海洋大學:資訊工程學系
Keywords: Riccati equation
Jamming density
Quasi-power theorem
Central and local limit theorem
Stochastic dominance
Date: 2015-04
Issue Date: 2018-10-29T08:20:13Z
Publisher: Advances in Applied Mathematics
Abstract: Abstract: A detailed study is made of the number of occupied seats in an unfriendly seating scheme with two rows of seats. An unusual identity is derived for the probability generating function, which is itself an asymptotic expansion. The identity implies particularly a local limit theorem with optimal convergence rate. Our approach relies on the resolution of Riccati equations. We also clarify some simple yet delicate stochastic dominance relations.
Relation: 65 pp.38-64
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50900
Appears in Collections:[資訊工程學系] 期刊論文

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