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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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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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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Stabilities of Cubic Mappings in Various Normed Spaces: Direct and Fixed Point Methods by H. Azadi Kenary, H. Rezaei, S. Talebzadeh, S. Jin Lee

“…According to Gruber (1978) this kind of stability problems are of the particular interest in probability theory and in the case of functional equations of different types. …”
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Sublinear Expectation Nonlinear Regression for the Financial Risk Measurement and Management by Yunquan Song, Lu Lin

“…We know that nonlinear expectation, including sublinear expectation as its special case, is a new and original framework of probability theory and has potential applications in some scientific fields, specially in finance risk measure and management. …”
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From Boole to Leggett-Garg: Epistemology of Bell-Type Inequalities by Karl Hess, Hans De Raedt, Kristel Michielsen

“…This inequality forms an important milestone in the epistemology of probability theory and probability measures. In 1985 Leggett and Garg derived a physics related inequality, mathematically identical to Boole’s, that according to them represents a demarcation between macroscopic realism and quantum mechanics. …”
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Expressiveness of Commutative Quantum Circuits: A Probabilistic Approach by Jorge M. Ramirez, Elaine Wong, Caio Alves, Sarah Chehade, Ryan Bennink

“…A central outcome of our work includes formulas to approximate the frame potential and expressiveness for any commutative quantum circuit, underpinned by convergence theorems in the probability theory. We identify the lattice volume of the random walk as means to approximate expressiveness based on circuit architecture. …”
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Car Delay Model near Bus Stops with Mixed Traffic Flow by Yang Xiaobao, Huan Mei, Gao Ziyou

“…This paper proposes a model for estimating car delays at bus stops under mixed traffic using probability theory and queuing theory. The roadway is divided to serve motorized and nonmotorized traffic streams. …”
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Web Accessibility Analysis of Massive Open Online Courses in Mathematical Disciplines by E. A. Kosova, M. Yu. Khalilova

“…By automatic testing using Web Accessibility Checker, the accessibility of the functional and informational content of the MOOCs was evaluated. 73% of MOOCs were found to conform to the syllabus subjects “Probability Theory and Mathematical Statistics”, “Discrete Mathematics” and “Algebra and Geometry”; 8 basic disciplines of higher mathematics education are not covered by online education; 96,4% of the courses have accessibility limitations, especially for people with visual impairment. …”
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Research on the Decision Mechanism of University-Enterprise Collaborative Innovation Based on Quantum Cognition by Sheng-Yuan Wang, Wan-Ming Chen, Ying Liu, Xiao-Lan Wu

“…A university-enterprise collaborative innovation decision-making model should be constructed from the perspective of enterprise decision-making, taking different innovation schemes as the final choice, and the method of quantum probability theory can be used to perform quantum cognition on the independent and joint decision-making models in the university-enterprise collaborative innovation decision-making. …”
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Prediction of Outcomes in Sports Under Probability in Kigezi Region. by Masereka, Jairus

“…The study concludes that the prediction of outcomes in sports, particularly in the Kigezi region, relies heavily on the application of probability theory. Understanding and applying probability helps in making informed predictions, although the inherently unpredictable nature of sports outcomes must be acknowledged. …”
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Impacts of noise and interference on the bit error rate of the FBMC-OQAM modulation scheme in 5G systems by A. Androon, O. V. Tikhonova

“…The work sets out to evaluate the noise immunity of the signal modulation method in 5G networks using a filter bank multicarrier with offset quadrature amplitude modulation (FBMC-OQAM) and to analyze the bit error rate (BER).Methods. In the work, probability theory and mathematical statistics methods are applied according to computer modeling approaches.Results. …”
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On Defining Expressions for Entropy and Cross-Entropy: The Entropic Transreals and Their Fracterm Calculus by Jan A. Bergstra, John V. Tucker

“…The algebra may form a basis for probability theory more generally.…”
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A Comprehensive Propagation Prediction Model Comprising Microfacet Based Scattering and Probability Based Coverage Optimization Algorithm by A. S. M. Zahid Kausar, Ahmed Wasif Reza, Lau Chun Wo, Harikrishnan Ramiah

“…On the other hand, the coverage optimization algorithm is based on probability theory, which finds out the minimum number of transmitters and their corresponding positions in order to achieve optimal indoor wireless coverage. …”
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The Use of the Direct Optimized Probabilistic Calculation Method in Design of Bolt Reinforcement for Underground and Mining Workings by Martin Krejsa, Petr Janas, Işık Yilmaz, Marian Marschalko, Tomas Bouchal

“…Using this theory, it is possible to apply probabilistic computations based on the probability theory and mathematic statistics. Development of those methods has become more and more popular; it is used, in particular, in designs of load-carrying structures with the required level or reliability when at least some input variables in the design are random. …”
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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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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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