Link Relay H-ARQ mode for Throughput improvement in a Satellite Communication network

Hwang, Lan-Mi; Lee, Byung-Jin; Yeo, Bong-Gu; Cho, Ju-Phil; Kim, Kyung-Seok

doi:10.7236/jiibc.2016.16.1.121

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2018

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“…(ii) As was shown to us by H.-K. Hwang [14], the asymptotic normality of the number of diagonal boxes in symmetric tree-like tableaux can be also proved by using the "shifting the mean" trick which consists of considering the moment generating function…”

Section: Remarksmentioning

confidence: 87%

Probabilistic consequences of some polynomial recurrences

Hitczenko

Lohss

2018

Random Struct Algorithms

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In this paper, we consider sequences of polynomials that satisfy certain recurrences. Our interest is motivated by the fact that polynomials satisfying such recurrences frequently appear as generating polynomials of integer valued random variables that are of interest in discrete mathematics. In particular, we will use our approach to show that the number of diagonal boxes in symmetric tree‐like tableaux is asymptotically normal. This extends earlier results of Aval, Boussicault and Nadeau, who found the asymptotics of the expected number of diagonal boxes. Through our discussion, we establish a general framework to approach such recurrences and prompt a generalization of the probabilistic consequences of them.

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Section: Remarksmentioning

confidence: 87%