Quaternion Fractional Fourier Transform: Bridging Signal Processing and Probability Theory by Muhammad Adnan Samad, Yuanqing Xia, Saima Siddiqui, Muhammad Younus Bhat, Didar Urynbassarova, Altyn Urynbassarova

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The Group-Algebraic Formalism of Quantum Probability and Its Applications in Quantum Statistical Mechanics by Yan Gu, Jiao Wang

Subjects: “…quantum probability theory…”
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Analysis of Hydrological Drought Characteristics in Fuhe River Basin Based on Copula Function by LONG Peng, JIAN Hongfu, HAN Huiming, LIU Mingchao

“…In this paper, taking the Fuhe River basin as the study area, the SWAT model is used to obtain runoff sequences for 31 sub-basins in the study area and compute the Standardized Runoff Index (SRI). The tour theory and the conditional probability methods of the Copula function are applied to compare and analyze the hydrological drought characteristics in the basin. …”
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Evidence conflict measurement method based on Pignistic probability transformation and singular value decomposition by Xinglin GUO, Zhenxiao SUN, Yuyao ZHOU, Lianzhi QI, Yi ZHANG

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The analysis of the "Theory of functions of the complex variable" test with attraction of models Russia and Birnbaum by Lidia A. Muratova

“…In work the analysis of the "Theory of Functions of a Complex Variable" test is carried out. …”
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Outage probability for cooperative communication system with asymmetric channel by CHUAI Gang1, LIU Sheng1, WEN Xiao-jun1

“…An analytical expression of the average outage probability which was proved accurate by simulation was derived by using the method of characteristic function. …”
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Adsorption Properties of NF3 and N2O on Al- and Ga-Doped Graphene Surface: A Density Functional Theory Study by Qilin Yi, Gang Wei, Zhengqin Cao, Xiaoyu Wu, Yuanyuan Gao

“…This paper investigated the adsorption properties of NF3 and N2O on Al- and Ga- doped graphene monolayers based on density functional theory. Through the analysis of adsorption distance, charge transfer, adsorption energy, energy band structure, etc., the results indicated that the adsorption effect of Al- and Ga-doped graphene to NF3 and N2O are probably good, and these nanomaterials are potential to apply for the monitoring of GIS internal faults.…”
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From Determinism and Probability to Chaos: Chaotic Evolution towards Philosophy and Methodology of Chaotic Optimization by Yan Pei

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Research Progress on Failure Probability Analysis of Earth-Rockfill Dams Based on Random Field Models by WANG Wei, LIAO Zhihao, LIAO Jielin

“…This paper reviewed relevant theories of random field models, summarized commonly used covariance and autocorrelation functions in previous research, introduced seven methods for generating random field models and their advantages and disadvantages, and explained the meaning of random field statistical characteristics. …”
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Performance characteristics of the fork-join queuing system by V. I. Klimenok

“…The special interest of the study is to obtain the lower and upper bounds of the mean sojourn time of a customer in the system.Methods. Methods of probability theory, queuing theory and matrix theory are used.Results. …”
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Dynamic Characteristics Analysis and Applications of Electromagnetic Environment Based on Group Perception by Peiwei Gao, Yongfeng Zhi, Chufeng Hu

“…The probability density function of the field distribution measured at any moment is mapped on to a statistical manifold. …”
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MODEL OF RATING OF NON PHYSICAL QUANTITY by V. M. Romanchak

“…For example, is equally likely outcomes in classical probability theory or equality of scale interval of a measuring scale. …”
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Comprehensive Evaluation and Dynamic Evolution Characteristics of Tourism Ecological Security Using the DPSIR-DS Model in the Yangtze River Economic Belt, China by Yue Pan, Jia Wang, Zhaolong An, Jianpu Li, Gangmin Weng

“…Aiming at the disadvantage of either-or in evaluation research, this study established the index system based on the inter-period DPSIR framework, designed an integrated assessment model combining the entropy method, the membership function, and the D-S evidence theory model to assess the tourism ecological security level from the perspective of probability value, then revealed its spatiotemporal dynamics characteristics. …”
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ESTIMATION METHOD OF LOAD SPECTRUM DISTRIBUTION BASED ON EM ALGORITHM by SU Fang, CHEN XiaoNan, WANG ChenSheng, ZHAO HaiYan

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Study on the Transfer Threshold from Meteorological to Hydrological Drought in Dongjiang River Basin by MO Xiaomei, TU Xinjun, WANG Tian, XIE Yuting, ZHAO Guoyang

“…The study on transfer threshold between different drought types can effectively analyze the occurrence law and mechanism of drought transfer,especially the study on transfer threshold from meteorological drought to hydrological drought.Taking the Dongjiang River Basin as the research object,this paper calculates the standardized precipitation index (SPI) and the standardized runoff index (SRI) at month scale,identifies and extracts the drought events and their characteristics,including drought duration and drought severity based on the run theory,matches the meteorological drought events and hydrological drought events that occur at the fully or partially same time,fits the edge distribution of the matched drought characteristic attributes to verify the correlation between the duration or severity of meteorological and hydrological droughts,establishes the joint distribution models of meteorological drought and hydrological drought based on two-variable Copula function,calculates the conditional probability of different grades of hydrological drought (moderate drought,severe drought and extreme drought) under different meteorological drought conditions,and takes the drought duration or severity value corresponding to the conditional probability of 0.95 as the drought duration or severity threshold for the transfer of meteorological drought to the hydrological drought of this grade.The results show that:The optimal fit functions of meteorological drought duration and severity in the Dongjiang River Basin were gamma distribution.The optimal fit function of hydrological drought duration is gamma distribution,and the marginal distribution function of hydrological drought severity was generalized normal distribution.The drought duration and severity were better when fitting by the Gumbel-copula function.The thresholds of drought duration of middle,severe and extreme drought grades in Dongjiang River basin were 6.9 months,8.3 months,9.4 months,respectively.While the thresholds of drought severity were 4.6,5.7 and 6.6,respectively.Drought transfer threshold can provide reference for hydrological drought prediction and government decision-making of drought prevention and mitigation.…”
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METHOD FOR DETERMINING THE CRITICAL POINT OF ELASTIC⁃PLASTIC OF M⁃B MODEL by CAO HongJun, ZHU Min, WANG ShengAo, DENG LiChongYang, MA DeSheng

“…The determination of the elasto⁃plastic critical point is very important for the study of the rough surface contact problem.In order to solve the shortcomings of the existing M⁃B model elasto⁃plastic critical point determination method,the characterization value is unmeasurable and difficult to apply.Based on the basic model of fractal theory,the distribution function and probability distribution density of asperity truncated area were obtained by means of mathematical statistics.Combined with the ideal elastic and plastic contact models of Hertzian contact,the normal force model in the process of plane⁃plane contact with fractal characteristics was obtained.Based on the difference between the actual contact area and the cut⁃off area during plastic deformation,a correction factor was proposed,and a method for determining the elasto⁃plastic critical point with the critical normal force as the characterization quantity was finally obtained.The new method takes the normal force as the characterization quantity and needs to be obtained through calibration experiments,which is more operational and credible.…”
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Blind estimation of pseudo-random codes in non-periodic long code direct-sequence spread-spectrum signals by HAOZhi-jin Z, UXiao-wei G, HENLei S, HANYi Z

“…The existence of common peaks in triple correlation functions of different m-sequences is proven based on the detail study of the characteristics of triple correlation functions of m-sequences,the features of common peaks and the direct relationship between common peak coordinates and the primitive polynomials of m-sequences are deduced.An es-timation algorithm of pseudo-random (PN) codes in non-periodic long code direct-sequence spread-spectrum (NPLC-DSSS) signals is proposed based on the above theories.Simulations under additive white Gaussian noise show that the probability of spreading code and scrambling code being both correctly estimated can reach 99% when the signal with a quarter of the cycle length of the long PN code is used only and the signal-to-noise ratio is greater than 4dB.…”
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Ensuring the performance of external communications: An informal classification of target groups by Mikhail V. Rodchenkov

“…The research identifies motivationally-rooted statistically significant discrepancies in the probability of correlating some survey participants with their functional group formed on a formal basis. …”
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A New Neutrosophic Negative Binomial Distribution: Properties and Applications by Rehan Ahmad Khan Sherwani, Sadia Iqbal, Shumaila Abbas, Muhammad Aslam, Ali Hussein AL-Marshadi

“…Several properties of the proposed distribution, such as moment generating function, characteristic function, and probability generating function, are also derived. …”
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Expressiveness of Commutative Quantum Circuits: A Probabilistic Approach by Jorge M. Ramirez, Elaine Wong, Caio Alves, Sarah Chehade, Ryan Bennink

“…Based on the Fourier series representation of these circuits, we express quantum expectation and pairwise fidelity as characteristic functions of random variables, and we characterize expressiveness as the recurrence probability of a random walk on a lattice. …”
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