LOG-CONVEXITY

作品数：3被引量：2H指数：1
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相关期刊：《Science China Mathematics》《Journal of Information Security》《Journal of Systems Science & Complexity》更多>>
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Cybersecurity Investment Guidance: Extensions of the Gordon and Loeb Model
《Journal of Information Security》2016年第2期15-28,共14页Scott Farrow Jules Szanton 
Extensions of the Gordon-Loeb [1] and the Gordon-Loeb-Lucyshyn-Zhou [2] models are presented based on mathematical equivalency with a generalized homeland security model. The extensions include limitations on changes ...
关键词：CYBERSECURITY Investment EXTERNALITY LOG-CONVEXITY Law 
Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences被引量：2
《Science China Mathematics》2014年第11期2429-2435,共7页WANG Yi ZHU BaoXuan 
supported by National Natural Science Foundation of China(Grant Nos.11071030,11201191 and 11371078);Specialized Research Fund for the Doctoral Program of Higher Education of China(Grant No.20110041110039);National Science Foundation of Jiangsu Higher Education Institutions(GrantNo.12KJB110005);the Priority Academic Program Development of Jiangsu Higher Education Institutions(Grant No.11XLR30)
In 2012,Zhi-Wei Sun posed many conjectures about the monotonicity of sequences of form {n√zn},where {zn} is a familiar number-theoretic or combinatorial sequence. We show that if the sequence {zn+1/zn}is increasing(r...
关键词：SEQUENCES MONOTONICITY LOG-CONVEXITY LOG-CONCAVITY 
COMPLETE MONOTONICITY OF THE PROBABILITY OF RUIN AND DE FINETTI'S DIVIDEND PROBLEM
《Journal of Systems Science & Complexity》2012年第1期178-185,共8页Hua DONG Chuancun YIN 
supported by the National Natural Science Foundation of China under Grant No.11171179;the Research Fund for the Doctoral Program of Higher Education of China under Grant No.20093705110002
This paper studies the complete monotonicity of the probability of ruin in the the classical risk model and the classical risk model that is perturbed by a diffusion. As a byproduct, the authors give an alternative p...
关键词：Barrier strategy classical risk model complete monotonicity LOG-CONVEXITY optimaldividend problem perturbed classical risk model. 
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