Combinatorial and Multinomial Coefficients and its Computing Techniques for Machine Learning and Cybersecurity by Chinnaraji Annamalai

“…This paper presents computing and combinatorial formulae such as theorems on factorials, binomial, and multinomial coefficients and probability and binomial distributions. …”
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The contemporary echocardiography approach to diagnosis of pulmonary hypertension and non-invasive estimation of pulmonary artery pressure by M.Yu. Kolesnyk

“…The algorithm used to determine probability of the pulmonary hypertension by means of echocardiography based on 2015 ESC guidelines is presented. …”
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Vessel-Bridge Collision Reliability Assessment Based on Structural Dynamic Analysis by Fu Tao, Ren Xiaoqian, Wang Kai

“…This method combines the method of moments with nonlinear dynamic finite element analysis, which can enhance the efficiency of calculating failure probability.…”
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Improved Energy Detector with Weights for Primary User Status Changes in Cognitive Radio Networks by Xianzhong Xie, Xiaofeng Hu, Bin Ma, Ting Song

“…Numerical simulation results show that the proposed ED offers better detection performances with a reduced probability of false alarm compared to conventional ED, and improved energy detector can improve the overall probabilities of detection, when spectrum sensing is performed for a network with high traffic.…”
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Analysis of Repairable Geo/G/1 Queues with Negative Customers by Doo Ho Lee, Kilhwan Kim

“…We construct the mathematical model and present the probability generating functions of the system size distribution and the FCFS sojourn time distribution. …”
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Controlling the Shannon Entropy of Quantum Systems by Yifan Xing, Jun Wu

“…For both discrete and continuous entropies, controller design methods are proposed based on probability density function control, which can drive the quantum state to any target state. …”
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Density Formula in Malliavin Calculus by Using Stein’s Method and Diffusions by Hyun-Suk Park

“…Let <i>G</i> be a random variable of functionals of an isonormal Gaussian process <i>X</i> defined on some probability space. Studies have been conducted to determine the exact form of the density function of the random variable <i>G</i>. …”
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Detection of Wideband Signal Number Based on Bootstrap Resampling by Jiaqi Zhen

“…The method has a high probability of success under low signal to noise ratio (SNR) and small number of snapshots.…”
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Entropic Lower Bound for Distinguishability of Quantum States by Seungho Yang, Jinhyoung Lee, Hyunseok Jeong

“…For a system randomly prepared in a number of quantum states, we present a lower bound for the distinguishability of the quantum states, that is, the success probability of determining the states in the form of entropy. …”
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Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation by Haihong Li, Fuzhong Cong, Daqing Jiang, Hongtu Hua

“…After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results.…”
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Outcome from Acute Repsiratory Distress Syndrome: Is It Really Improving? by Jesús Villar, Arthur S Slutsky

“…Sepsis and extrapulmonary organ failure are the major contributing factors affecting the probability of survival in patients with ARDS. Although studies of ARDS frequently are not comparable because of varying definitions and inhomogeneity of patients, it appears that the mortality rate from ARDS has dropped by about 20% in the past 10 years.…”
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Bernoulli Poisson Moment Exponential Distribution: Mathematical Properties, Regression Model, and Applications by Amani Alrumayh

“…Some mathematical properties are studied, including the hazard rate function, moments, moment generating function, probability generating function, and dispersion index. …”
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English Writing Correction Based on Intelligent Text Semantic Analysis by Shuang Yang

“…In addition, this paper uses the word selection probability results obtained from the preference evaluation. …”
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The Psychological Benefits of COVID-19 Vaccination by My Nguyen

“…Particularly, a 100% increase in the number fully vaccinated per 10 million people makes individuals 0.24, 0.23, 0.12, and 0.14 percentage points less likely to experience anxiety, worry, displeasure, and depression on a daily basis, respectively. The probability of having at least one of the four symptoms (anxiety, worry, displeasure, and depression) every day also reduces by 0.27 percentage points. …”
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Spherical Simplex-Radial Cubature Quadrature Kalman Filter by Zhaoming Li, Wenge Yang

“…A spherical simplex-radial cubature quadrature Kalman filter (SSRCQKF) is proposed in order to further improve the nonlinear filtering accuracy. The Gaussian probability weighted integral of the nonlinear function is decomposed into spherical integral and radial integral, which are approximated by spherical simplex cubature rule and arbitrary order Gauss-Laguerre quadrature rule, respectively, and the novel spherical simplex-radial cubature quadrature rule is obtained. …”
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Finding Galictis cuja (Molina, 1782) (Carnivora, Mustelidae) at a northern Chilean site in the potential distribution area of the species by Pablo Valladares-Faúndez, Francesco Canepa, Constanza Rubilar Ordoñez, Nicole Álvarez-Henríquez

“…However, a previous ecological niche analysis had indicated a high probability of the mustelid Quique&amp;rsquo;s occurrence in the ravines that cross the northern desert of Chile. …”
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Some results on the span of families of Banach valued independent, random variables by Rohan Hemasinha

“…Let E be a Banach space, and let (Ω,ℱ,P) be a probability space. If L1(Ω) contains an isomorphic copy of L1[0,1] then in LEP(Ω)(1≤P<∞), the closed linear span of every sequence of independent, E valued mean zero random variables has infinite codimension. …”
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A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data by Alya Al Mutairi, Muhammad Z. Iqbal, Muhammad Z. Arshad, Ahmed Z. Afify

“…All possible shapes of the probability density and hazard rate functions are sketched for selected values of parameters. …”
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Information and communication technologies, a tool for risk prevention and accident management on sea ice by Elise Lépy

“…The present positive evolution of air temperatures has in all probability many impacts on the environment and more or less directly on societies. …”
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Least Squares Estimation for α-Fractional Bridge with Discrete Observations by Guangjun Shen, Xiuwei Yin

“…We construct a least squares estimator α^n of α which is consistent; namely, α^n converges to α in probability as n→∞.…”
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