Improvement of Methods for Analysis of Product Resource-Ability by K. N. Malovik

“…The paper considers development of methods in respect of probability theory of extreme values and its application for estimation of resource characteristics. …”
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A New Proof of Central Limit Theorem for i.i.d. Random Variables by Zhaojun Zong, Feng Hu

“…Central limit theorem (CLT) has long and widely been known as a fundamental result in probability theory. In this note, we give a new proof of CLT for independent identically distributed (i.i.d.) random variables. …”
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Julius Kruopis – the pioneer of applied statistics in Lithuania by Vilijandas Bagdonavičius, Vydas Čekanavičius, Rūta Levulienė, Pranas Vaitkus

“…In 1964–1966 he worked as a  trainee lecturer at the Department of Probability Theory and Number Theory of the Faculty of Mathematics of Vilnius University. …”
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RELIABILITY-BASED ANALYSIS AND OPTIMIZATION OF SPRING LOCKING MECHANISM by Cai DeYong, Liu FuJun, Jiao XianWei, Wei Jun

“…According to the stochastic distribution of parameters,the reliability analysis of spring locking mechanism is carried out for helical spring by using probability theory and mathematical statistics. The optimization model of the locking mechanism spring parameters is established. …”
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De l’abstraction réelle de la monnaie au concret absolu du marché financier by Élie Ayache

“…It will effectively contradict abstract probability theory, which is founded on such a schema.…”
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Numerical implementation of a stochastic differential equation of motion by Saúl Moisés Torres Murga

“…Using the fundamentals of Functional Analysis, Probability Theory and Stochastic Processes, a stochastic differential equation of motion was obtained. …”
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Handy formulas for binomial moments by Maciej Skorski

“…Despite the relevance of the binomial distribution for probability theory and applied statistical inference, its higher-order moments are poorly understood. …”
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The local limit theorem for complex valued sequences: the parabolic case by Coulombel, Jean-François, Faye, Grégory

“…The result applies in probability theory for random walks as well as in numerical analysis for studying the large time behavior of numerical schemes.…”
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Alpha Power Transformation of the Lindley Probability Distribution by Shibiru Jabessa Dugasa, Ayele Taye Goshu, Butte Gotu Arero

“…The new probability distribution reveals interesting properties with the flexible shape of its hazard function and could be considered as a new contribution to the field of statistics and probability theory. The findings of this study can be used as the basis for future research in statistics and probability, as well as in different application areas such as health, engineering, education, and economics.…”
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Problems for combinatorial numbers satisfying a class of triangular arrays by Igoris Belovas

“…In this work, we derive the general analytic expression of the numbers satisfying a class of triangular arrays and propose problems (both teaching and unsolved ones) for undergraduates studying probability theory and analytical combinatorics subjects in the study programs of the fields of mathematics and computer science. …”
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A two level multi-antenna blind spectrum detection about spatial spectrum by Zhiqiang BAO, Yanrui CUI, Xiao XU

“…In order to improve the perceptual performance,the array spatial spectrum search technology was applied to the spectrum sensing field.A blind spectrum detection algorithm based on two stage detection of spatial spectral values was proposed.Firstly,the maximum and minimum values of the spatial spectrum were used as the test statistics to detect the spectrum.Then the mean value of spatial spectrum for the undetected part was used in the second level detection.By using the advantage of the spatial matching filter,the new algorithm achieved higher detection probability under the low SNR and low sampling rate,and the threshold of detection was accurately deduced based on probability theory.The simulation and comparison results show that TDSS algorithm has better detection effects than some existing classical blind spectrum sensing algorithms.…”
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Research of High Precision Harmonic Drive with Short Flexspline of Heliostat in Solar Thermal Power by Guanghui Yin, Lü Hongzhan

“…Based on statistics and probability theory， transmission error is calculated and the sensitivity of error of parts is analyzed with the Monte Carlo method. …”
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Analysis of coverage probability in NOMA-HetNet based on Matern cluster process by Xiaorong JING, Yixi CHEN, Qianbin CHEN

“…Considering the correlation between the users and base stations and the network irregularity,the non-orthogonal multiple access heterogeneous networks (NOMA-HetNet) based on Matern cluster process (MCP) was modeled.The coverage probability of UEs was analyzed.Firstly,the signal-to-interference-plus-noise ratios (SINR) of UEs were theoretically derived.Secondly,an updating law for the upper limit of SINR was presented for the imperfect serial interference elimination (SIC) scheme,which was more consistent with the reality.Then,using the mathematical tools such as spatial coordinate system,probability theory,stochastic geometry theory and order statistics,the correlation probability and service distances of the different types of UEs were analyzed.Finally,the theoretical expression of the coverage probability of UEs was derived.The effects of cluster radius,base station density,interference residual factors on service distances,and coverage probability are verified by numerical simulations.The simulation results are consistent with the theoretical analysis,which testifies the correctness of the theoretical analysis.…”
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De la contingence et de la carrière by Marie-Ange Schiltz

“…Knowledge of social life can only be established in reference to the probability theory that establishes the degree of lifelikeness of the speech. …”
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Study on a Stratified Sampling Investigation Method for Resident Travel and the Sampling Rate by Fei Shi

“…The stratified sampling rate formula and the sampling rate of each layer have been derived in detail according to Probability Theory and Mathematical Statistical Methods. …”
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Approach of service evaluation based on trust reasoning for cloud computing by HU Chun-hua1, LUO Xin-xing2, WANG Si-chun1, LIU Yao1

“…The credibility reasoning and deducing of SC and SP were proposed,which were mainly in the direct trust re-lationship established in interactive process among service entities,the public credibility of the feedback system as a sup-plement.The model used probability density function to represents the credibility of entities based on probability theory,which systematically proposed the reasoning and deducing methods of computing,reasoning and merging based on trust relationship in probability density.Then a new method of correcting QoS of SP entities was provided.Finally,the algo-rithm based on trust reasoning and correcting of QoS service was provided.This model can effectively evaluate the credi-bility of service participants,weakening the influence of unreliable entities in service evaluation and enhancing the quali-ties and accuracy of result in service selection through simulated experiment.…”
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A CALCULATION METHOD OF EQUIVALENT FAILURE RATE OF VALVE CONSIDERING THE INFLUENCE OF NON-CRITICAL STATE by YU ShuRong, LUO WeiYe, XUE RuiYuan, ZHANG XiHeng, YIN SiMin

“…On this basis,Markov model and mathematical expectation method in probability theory were used to obtain the expected state transition times,and combined with the existence probability of all states. …”
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Mathematical model for the analysis of environmental risk factors by I. V. Sukhorukova, N. A. Chistyakova

“…The development of a dynamic model is based on the methods of probability theory, actuarial mathematics and, accordingly, on the, numerical methods and simulation methods. …”
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Correction of requests in the information system decision support by S. F. Lipnitsky

“…Methods of set theory and probability theory are used.Results. A generalized information retrieval model has been developed. …”
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Predictive channel scheduling algorithm between macro base station and micro base station group by Yinghai XIE, Ruohe YAO, Bin WU

“…A novel predictive channel scheduling algorithm was proposed for non-real-time traffic transmission between macro-base stations and micro-base stations in 5G ultra-cellular networks.First,based on the stochastic stationary process characteristics of wireless channels between stationary communication agents,a discrete channel state probability space was established for the scheduling process from the perspective of classical probability theory,and the event domain was segmented.Then,the efficient scheduling of multi-user,multi-non-real-time services was realized by probability numerical calculation of each event domain.The theoretical analysis and simulation results show that the algorithm has low computational complexity.Compared with other classical scheduling algorithms,the new algorithm can optimize traffic transmission in a longer time dimension,approximate the maximum signal-to-noise ratio algorithm in throughput performance,and increase system throughput by about 14% under heavy load.At the same time,the new algorithm is accurate.Quantitative computation achieves a self-adaption match between the expected traffic rate and the actual scheduling rate.…”
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