A note on dilations and martingales by Martin L. Jones

“…The technique of dilating the joint distribution of a sequence of random variables has applications in optimal stopping theory and the study of prophet inequalities where martingales play a significant role.…”
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On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator by Chrysoula Ganatsiou

“…A generalized limit probability measure associated with a random system with complete connections for a generalized Gauss-Kuzmin operator, only for a special case, is defined, and its behaviour is investigated. …”
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Central Limit Theorem for Coloured Hard Dimers by Maria Simonetta Bernabei, Horst Thaler

“…This means that we investigate the limit behavior of certain random variables whose values are combinatorial parameters associated to these graphs. …”
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A remark on the r-th mean differentiability by George D. Stamatelos

“…In the mathematical developments regarding the asymptotic expansion and the asymptotic distribution of the likelihood function, there arises the question whether the assumptions made on the model imply differentiability in the r′-th mean of the underlying random functions, for integer values r′<r. The present paper provides an answer to this question and also gives the explicit form of the derivatives in the r′-th mean involved.…”
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EPN:encryption padding for NTRU with provable security by MU Ning-bo, HU Yu-pu, WANG Bao-cang

“…Known as the fastest public key cryptosystem available now,the provable security of NTRU has not been solved well.an encryption padding,called EPN was designed,for NTRU.Under the full domain one wayness assumption of NTRU,EPN had been proved indistinguishable from adaptive chosen ciphertext attack by using the Game-Hopping technology in the random oracle model.Compared with present NAEP available,implement efficiency of EPN improves by 25%.…”
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Design of reliability for layered decoupled virtual nodes by Yangchun LI, Yongbing FAN, Nan CHEN, Tian CHEN

“…Firstly,the concept of random events was introduced into the communication process,and the serial and parallel reliability algorithms were introduced.Secondly,the reliability design of virtual hosts,clusters and spine-leaf switching networks and their calculation methods were analyzed.Finally,the connection based on each component unit was analyzed.Based on the connection relationships among the components,the reliability design scheme of virtual nodes and its reliability algorithm was proposed.…”
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Behaviour of passage time for a queueing network model with feedback: a simulation study by Bidyut K. Medya

“…The steady-state behaviour of the passage time, the random times for a job to traverse a portion of the network, is examined through simulation. …”
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Discriminant analysis of Gaussian spatial data with exponential covariance structure by Kęstutis Dučinskas

“… This paper considers the discrimination of the observation of the stationary Gaussian random field belonging to one of two populations with different means and covariance functions. …”
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Research on MIX-based anonymous communications by LU Tian-bo, CHENG Xiao-ming, ZHANG Bing

“…Privacy and anonymity on the Internet are gaining increasing attention from both the scientific and the large Internet user community in recent years.Privacy does not only mean the confidentiality of information,but also mean not revealing who is communicating with whom,and how often.After describing the technology of MIX,a survey of ano-nymity technologies based on it was given.Finally WonGoo,a scalable and practical decentralized peer-to-peer protocol was presented that provides strong anonymity and high efficiency with layered encryption and random forwarding.…”
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Collaborative opportunistic routing in wireless sensor networks by HU Hai-feng, YANG Zhen

“…The routing objective was to provide robustness to the random variations in network con-nectivity while ensuring better data forwarding efficiency in an energy efficient manner. …”
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Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control by Kaihong Zhao

“…Fractional Langevin system has great advantages in describing the random motion of Brownian particles in complex viscous fluid. …”
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Analysis of the success probability of cube attack by Hai-xin SONG, Xiu-bin FAN, Chuan-kun WU, Deng-guo FENG

“…The success probability of cube attack was theoretically discussed when a boolean function was chosen at random and the algebraic degree or the number of terms in its algebraic normal form representation was restricted.The results provided theoretic support to cube attack.The theoretical results meet with the experimental results of the analysis of the stream ciphers Trivium and Grain v1 very closely.…”
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A uniform estimate for the rate of convergence in the multidimensional central limit theorem for homogeneous Markov chains by M. Gharib

“…In this paper a uniform estimate is obtained for the remainder term in the central limit theorem (CLT) for a sequence of random vectors forming a homogeneous Markov chain with arbitrary set of states. …”
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Power Laws in Adsorption and the Characterization of Heterogeneous Substrates by F. Bulnes, A.J. Ramirez-Pastor, G. Zgrablich

“…Patches were either arranged in a deterministic chessboard structure or in a random way. Quantities were identified which scale obeying power laws as a function of the scale length l. …”
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Central limit theorem in the symmetric group by Vytas Zacharovas

“… In this work we investigate a rate of convergence of sums of random variables defined on a symetric group Sn, when the probability measure on Sn is defined by the Ewens sampling formula with parameter θ. …”
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Design Method of Digital Signals’ Filter for Automatic Control Systems of Power Plant Equipment Operation by V. A. Janizki

“…They provide minimization of random noise influence by estimation parameters changes, determining the state of equipment and its operation. …”
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ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA by LONG Bing, XI ChangXin

“…The maximum likelihood method is used to estimate the unknown shape parameter in Lomax distribution under interval data, the expression of the shape parameter can not be obtained.The iterative formula of shape parameter can be obtained by using EM algorithm, it is easy to get the estimated value and the estimation has good convergence. Random simulation results show that EM algorithm has high accuracy, and the final estimation is independent of initial value.…”
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THE FATIGUE CUMULATIVE DAMAGE PROBABILITY MODEL OF GEAR CONTACT by LV YuanBo, ZHUO Yi, ZHANG WenDong

“…For the gear transmission mechanism of a slat,based on S-N curve and linear cumulative damage theory,the reliability fatigue life caculation formula of gear contact can be obtained.In order to realize the global influence of the basic random variables on the distribution of the response performance function completely,the global sensitivities are proposed,which can provide effective theoretical guidance for optimazation and reliability design of gear.…”
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On the function TreH+itK by Mark Fannes, Dénes Petz

“…This shows that the Bessis-Moussa-Vilani conjecture holds for large random matrices in an asymptotic sense.…”
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Entropy and Information jump for log-concave vectors by Bizeul, Pierre

“…We extend the result of Ball and Nguyen on the jump of entropy under convolution for log-concave random vectors. We show that the result holds for any pair of vectors (not necessarily identically distributed) and that a similar inequality holds for the Fisher information, thus providing a quantitative Blachmann–Stam inequality.…”
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