Threshold Dynamics in a Periodic Three-Patch Rift Valley Fever Virus Transmission Model by Buyu Wen, Zhidong Teng, Wenlin Liu

“…The threshold conditions on the extinction and permanence in the mean of the disease with probability one. The Rift Valley fever disease will be permanent in the j-th j=1,2,3 patch if j≥i,Ri0>1 and dies out in the j-th patch if j<i. …”
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A Simple Repairable System with Warning Device by Xiao Zhang, Lina Guo

“…By using Markov renewal process theory and the probability analysis method, the system is first described into a group of integrodifferential equations. …”
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Computer-Aided Numerical Inversion of Laplace Transform by Umesh Kumar

“…The inversion technique is based on the properties of a family of three parameter exponential probability density functions. The only limitation in the technique is the word length of the computer being used. …”
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A new solution to the rational voter paradox by Mladenović Ivan, Vasić Miljan

“…The rational voter paradox suggests that there is no incentive for a rational individual to vote if the expected benefits are outweighed by the costs. However, the probability of an individual vote deciding the outcome of an election is typically small, making the expected benefits negligible. …”
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An entropic generalization of Caffarelli’s contraction theorem via covariance inequalities by Chewi, Sinho, Pooladian, Aram-Alexandre

“…The optimal transport map between the standard Gaussian measure and an $\alpha $-strongly log-concave probability measure is $\alpha ^{-1/2}$-Lipschitz, as first observed in a celebrated theorem of Caffarelli. …”
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The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application by Wenzhi Yang, Xinghui Wang, Xiaoqin Li, Shuhe Hu

“…On the other hand, we give the application to study the convergence of the state observers of linear-time-invariant systems and present the convergence with probability one and in mean square.…”
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Multiperiod Coordination Models of Coal-Electricity Supply Chain with Double Price Regulations by Hongjun Peng, Meihua Zhou, Fudong Wang

“…Meanwhile, the ordering quantity of thermal coal is increased and the shortage probability of electricity supply is decreased. Thereby, the conflicts between coal and electricity are also alleviated effectively.…”
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Multi-State Reliability Analysis Based on General Wiener Degradation Process and Random Shock by Huibing Hao, Chunping Li

“…At last, some sensitivity analyses are given to illustrate the influence of parameters on the state probability and the system reliability.…”
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Harmonic Mixture Fréchet Distribution: Properties and Applications to Lifetime Data by Selasi Kwaku Ocloo, Lewis Brew, Suleman Nasiru, Benjamin Odoi

“…In this study, we propose a four-parameter probability distribution called the harmonic mixture Fréchet. …”
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Copula-based trading of cointegrated cryptocurrency Pairs by Masood Tadi, Jiří Witzany

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An Energy-Efficient Cyclic Diversionary Routing Strategy against Global Eavesdroppers in Wireless Sensor Networks by Ju Ren, Yaoxue Zhang, Kang Liu

“…To enhance the location privacy preservation, we theoretically figure out the probability of the cyclic interference routings in different areas of the network and statistically achieve an energy consumption balance in the entire network. …”
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M/M/1 Retrial Queue with Working Vacation Interruption and Feedback under N-Policy by Li Tao, Liyuan Zhang, Shan Gao

“…Furthermore, the stationary probability distribution and some performance measures are also derived. …”
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Lightning Damage to Landscape Palms by Stephen H. Brown, Douglas Caldwell, Ralph Mitchell

“…Given so many strikes, the probability of damage to certain palms is significant. …”
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Password Based Circuit Breaker by Asiimwe Johnso

“…As the lineman has to deal with live wires very often, the probability of critical accidents is already very high. …”
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Pass Word Based Circuit Breaker. by Asiimwe, Johnson

“…As the lineman has to deal with live wires very often, the probability of critical accidents is already very high. …”
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On the Estimation of k-Regimes Switching of Mixture Autoregressive Model via Weibull Distributional Random Noise by Rasaki, Olawale Olanrewaju, Anthony, Gichuhi Waititu, Nafiu, Lukman Abiodun

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Effects of the physical form of starter feed on the intake, performance, and health of female Holstein calves by Í.R.R. Castro, G.B.C. Leite, I.F. Carrari, L.N.C. Silva, J.C.C. Chagas, D.D. More, M.I. Marcondes

“…Based on that, TSF-fed calves exhibited a higher non-disease probability compared to PSF over time. Calves TSF-fed sorted against small particles (0.425-mm sieve; P = 0.01). …”
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LIPS and PaO2/FiO2 Combined Plasma Biomarkers Predict Onset of Acute Respiratory Distress Syndrome in Patients of High Risks in SICU: A Prospective Exploratory Study by Ziyuan Shen, Zhongnan Yin, Senhao Wei, Zhukai Cong, Feng Zhao, Hua Zhang, Xi Zhu

“…The calibration curve shows an agreement between the probability of predicting ARDS and the actual probability of occurrence. …”
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Frailty Is Associated With Decreased Survival in Adult Patients With Nonoperative and Operative Traumatic Subdural Hemorrhage: A Retrospective Cohort Study of 381,754 Patients by Evan N. Courville, MD, Oluwafemi P. Owodunni, MD, MPH, Jordyn T. Courville, BS, Syed F. Kazim, MD, PhD, Alexander J. Kassicieh, BS, Allyson M. Hynes, MD, Meic H. Schmidt, MD, MBA, Christian A. Bowers, MD

“…We investigated frailty’s impact on traumatic subdural hematoma (tSDH), examining its relationship with major complications, length of hospital stay (LOS), mortality, high level of care discharges, and survival probabilities following nonoperative and operative management. …”
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Development and validation of a prognostic model for critically ill type 2 diabetes patients in ICU based on composite inflammatory indicators by Lin Liu, Yan-Bo Zhao, Zhuo-Ting Cheng, Ya-Hui Li, Yang Liu

“…In addition, decision curve analysis showed a net clinical benefit within 1–60% threshold probability in the test set and 10–41% threshold probability in the external validation set. …”
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