Data-driven upper bounds and event attribution for unprecedented heatwaves by Mark D. Risser, Likun Zhang, Michael F. Wehner

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Structural reliability analysis of steel structural covering based on the theory of evidence by S. A. Solov’ev, A. E. In’kov, A. A. Solov’eva, V. A. Smirnov

“…The measure of reliability in this case can be the failure probability of a structural element. In practical problems of assessment and analysis of structural reliability, data on random variables can be obtained in the interval form (qualitative uncertainty), while the classic methods of reliability analysis do not allow to estimate reliability in the presence of such data. …”
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INTERVAL ANALYSIS METHOD OF RELIABILITY PREDICTION ON AUTOMOTIVE BRAKE SYSTEM AND TIRE by JIA AiQin, WEI YongQiang, JIANG ZhiQiang

“…We use the likelihood function and belief function of D-S theory respectively as the fault tree to analyze the upper and lower bounds of bottom event fault probability interval,we also apply the interval analysis theory to construct the AND operator,OR operator,and we conduct numerical computation on bottom event fault probability interval to solve the quantitative calculation problem of fault tree,thus to obtain probability interval of the top event fault,and reliability of automobile tire and brake system are analyzed and predicted. …”
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Novel Bounds for Incremental Hessian Estimation With Application to Zeroth-Order Federated Learning by Alessio Maritan, Luca Schenato, Subhrakanti Dey

“…We provide non-asymptotic convergence bounds on the estimation error and derive the minimum number of function queries needed to achieve a desired accuracy with arbitrarily high probability. …”
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Telecommand Rejection Probability in CCSDS-Compliant LDPC-Coded Space Transmissions With Tail Sequence by Rebecca Giuliani, Massimo Battaglioni, Marco Baldi, Franco Chiaraluce, Nicola Maturo

“…Particular attention is devoted to the probability of not-acknowledged termination, i.e., the probability that the tail sequence is not recognized.…”
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Performance analysis of dual-hop PLC-FSO communication system by Shenghai CHEN, Xiaoqin YAN, Sai LI, Liang YANG

“…A dual-hop power line communication and free-space optical communication (PLC-FSO) system was proposed, where an amplify-and-forward (AF) relay was applied to help the signal transmission between the PLC link and the FSO link.More specifically, it was assumed that the PLC link was affected by both additive background noise and impulsive noise, and the channel fading followed log-normal distribution, while the fading induced by the atmospheric turbulence in the FSO link followed a Gamma-Gamma distribution, and the effect of pointing errors was also considered.Based on this model, closed-form expressions for the outage probability, bit error rate, and the channel capacity were derived.In addition, asymptotic analysis for the outage probability and BER, and upper bound expression for the channel capacity were presented.Finally, the accuracy of the analytical results was justified through Monte-Carlo simulations.The results show that the system outage probability decreases as the pointing error parameter increases and the smaller the PLC link impulse noise, the lower the bit error rate.The system capacity increases as the turbulence intensity decreases.…”
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A New Formulation on Seismic Risk Assessment for Reinforced Concrete Structures with Both Random and Bounded Uncertainties by Xiao-Xiao Liu, Yuan-Sheng Wang

“…Further, the failure probabilities for different limit states in 50 years can be obtained through coupling the seismic failure probability with the ground motion hazard curve. …”
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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series by Tunji Ibrahim Awolere, Abiodun Tinuoye Oladipo, Şahsene Altınkaya

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Robust algorithm for gain-and-phase errors estimation against the direction deviations of calibration sources by Ding WANG, Hui YAO, Ying WU

“…The direction deviations of the calibration sources would significantly degrade the calibration accuracy of array gain-and-phase errors.Aiming to this problem,a robust calibration algorithm for gain-and-phase errors against the location deviations was presented under the assumption that the prior probability distribution of the location deviation was known.The idea of the robust algorithm was based on subspace fitting criterion and Bayesian estimation theory framework.The gain-and-phase errors were obtained through calculating the eigenvector associated with the minimum eigenvalue of some real symmetric matrix without estimating the locations of calibration sources.The closed-form Cramér-Rao bound(CRB)for the unknown parameters was derived,and the asymptotic distributions of the robust algorithm as well as the Cheng method were also given in the presence of direction deviations.Both the theory analysis and the simulation experiments validate that the asymptotic performance of the robust algorithm can reach the CRB under some moderate conditions and outperform the Cheng method when the location deviations exist.…”
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Differential analysis of lightweight cipher algorithm ACE based on MILP by Shuai LIU, Jie GUAN, Bin HU, Sudong MA

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Review of statistical methods for survival analysis using genomic data by Seungyeoun Lee, Heeju Lim

“…The common characteristic of survival analysis is that it contains “censored” data, in which the time to event cannot be completely observed, but instead represents the lower bound of the time to event. …”
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Link quality based path delay analysis in wireless sensor networks by Quan CHEN, Hong GAO

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A Flexible Polynomial Expansion Method for Response Analysis with Random Parameters by Rugao Gao, Keping Zhou, Yun Lin

“…This paper aims to develop a flexible polynomial expansion method for response analysis of the finite element system with bounded random variables following arbitrary probability distributions. …”
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Analysis of super-long and sparse feature in pseudo-random sequence based on similarity by Chun-jie CAO, Jing-zhang SUN, Zhi-qiang ZHANG, Long-juan WANG, Meng-xing HUANG

“…Similarity analysis of pseudo-random sequence in wireless communication networks is a research hotspot problem in the domain of information warfare.Based on the difficulties in super-long sequence,extremely sparse feature,and futilities in engineering application for real-time processing exist in similarity analysis of sequence in wireless net-work,a method of similarity analysis of sequence in a certain margin of misacceptance probability was proposed.Firstly,the similarity probability distribution of real-random sequence was theoretically analyzed.Secondly,according to the standard of NIST SP 800-22,the randomness of pseudo-bitstream was analyzed and the validity of pseudo-bitstream was judged.Finally,similarity was analyzed and verified by combining super-long pseudo-random sequence in real wireless communication networks.The results indicate that the lower bound of similarity value is 0.62 when misacceptance prob-ability uncertainty at about 1%.Above conclusion is considerable importance from the significance and theoretical values in network security domains,such as protocol analysis,traffic analysis,intrusion detection and others.…”
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Performance Analysis of SNR-Based HDAF M2M Cooperative Networks by Lingwei Xu, Hao Zhang, T. Aaron Gulliver

“…The lower bound on outage probability (OP) of mobile-to-mobile (M2M) cooperative networks over N-Nakagami fading channels is derived for SNR-based hybrid decode-amplify-forward (HDAF) relaying. …”
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A New Uncertain Analysis Method for the Prediction of Acoustic Field with Random and Interval Parameters by Mingjie Wang, Zhimin Wan, Qibai Huang

“…By means of the PCRS combined with the existing interval analysis method, the lower and upper bounds of expectation, variance, and probability density function of the frequency response can be efficiently evaluated. …”
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Effect of Intervention of Vaccination and Treatment on the Transmission Dynamics of HBV Disease: A Mathematical Model Analysis by Firaol Asfaw Wodajo, Temesgen Tibebu Mekonnen

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Prediction of Long-Term Prestress Loss and Crack Resistance Analysis of Corroded Prestressed Concrete Box-Girder Bridges by Yiming Yang, Huang Tang, Yu Mao, Xinzhong Wang

“…It is found that the prediction results of long-term prestress loss have high uncertainty, and the upper bound of long-term prestress loss at the confidence level of 95% is approximately 50% higher than the result obtained by deterministic analysis. …”
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Tractable yet effective approximation to directional antenna array for millimeter-wave networks by Na DENG, Haichao WEI

“…The complexity of the actual antenna pattern imposes restrictions on investigating the benefits of directional antenna arrays in large-scale networks.Hence,a novel multi-level flat-top antenna pattern was proposed to approximate and simplify the actual one and was applied in millimeter-wave cellular networks for performance analysis.To fully characterize the impact of the directional antenna array on the user performance,stochastic geometry was adopted to establish an analytical framework for millimeter-wave cellular networks and derive the coverage probability and transmission rate of the typical user with the proposed multi-level flat-top antenna pattern,including the exact and bounding expressions.The simulation results show that the proposed antenna pattern provides a better tradeoff between the accuracy and tractability than previous patterns.…”
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Polar Functions for Anisotropic Gaussian Random Fields by Zhenlong Chen

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