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Some inequalities for the generalized linear distortion function 被引量:2
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作者 MA Xiao-yan QIU Song-liang +1 位作者 ZHONG Gen-hong CHU Yu-ming 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2012年第1期87-93,共7页
In this paper, we establish several inequalities for the the generalized linear distortion function λ(a, K) by using the monotonicity and convexity of certain combinations λ(a, K).
关键词 modular equation generalized linear distortion function inequality.
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Distortion Function for Emoji Image Steganography 被引量:1
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作者 Lina Shi Zichi Wang +3 位作者 Zhenxing Qian Nannan Huang Pauline Puteaux Xinpeng Zhang 《Computers, Materials & Continua》 SCIE EI 2019年第6期943-953,共11页
Nowadays,emoji image is widely used in social networks.To achieve covert communication in emoji images,this paper proposes a distortion function for emoji images steganography.The profile of image content,the intra-an... Nowadays,emoji image is widely used in social networks.To achieve covert communication in emoji images,this paper proposes a distortion function for emoji images steganography.The profile of image content,the intra-and inter-frame correlation are taken into account in the proposed distortion function to fit the unique properties of emoji image.The three parts are combined together to measure the risks of detection due to the modification on the cover data.With the popular syndrome trellis coding(STC),the distortion of stego emoji image is minimized using the proposed distortion function.As a result,less detectable artifacts could be found in the stego images.Experimental results show that the proposed distortion function performs much higher undetectability than current state-of-the-art distortion function HILL which is designed for natural image. 展开更多
关键词 STEGANOGRAPHY emoji image distortion function
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Sharp estimates for Hübner’s upper bound function with applications 被引量:3
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作者 QIU Song-Liang REN Liang-Yu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第2期227-235,共9页
New better estimates, which are given in terms of elementary functions, for the function r →(2/π)(1 -r2)κ(r)κ′(r) + logr appearing in Hubner's sharp upper bound for the Hersch-Pfluger distortion functio... New better estimates, which are given in terms of elementary functions, for the function r →(2/π)(1 -r2)κ(r)κ′(r) + logr appearing in Hubner's sharp upper bound for the Hersch-Pfluger distortion function are obtained. With these estimates, some known bounds for the Hersch-Pfluger distortion function in quasiconformal theory are improved, thus. improving the explicit quasiconformal Schwarz lemma and some known estimates for the solutions to the Ramanujan modular equations. 展开更多
关键词 ESTIMATE Hubner's inequality Hersch-Pfluger distortion function quasiconformal Schwarz lemma modular equation.
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Conditional coherent risk measures and regime-switching conic pricing
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作者 Engel John C Dela Vega Robert J Elliott 《Probability, Uncertainty and Quantitative Risk》 2021年第4期267-300,共34页
This paper introduces and represents conditional coherent risk measures as essential suprema of conditional expectations over a convex set of probability measures and as distorted expectations given a concave distorti... This paper introduces and represents conditional coherent risk measures as essential suprema of conditional expectations over a convex set of probability measures and as distorted expectations given a concave distortion function.A model is then developed for the bid and ask prices of a European-type asset by a conic formulation.The price process is governed by a modified geometric Brownian motion whose drift and diffusion coefficients depend on a Markov chain.The bid and ask prices of a European-type asset are then characterized using conic quantization. 展开更多
关键词 Conditional coherent risk measures Markov chains REGIME-SWITCHING Conic finance European options distortion functions Conic quantization
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