Algorithmic Information Theory and Foundations of Probability [PDF]
, 2009 The use of algorithmic information theory (Kolmogorov complexity theory) to explain the relation between mathematical probability theory and `real world' is ...
G. Polya, O. Goldreich, V. Uspensky
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Probability Thermodynamics and Probability Quantum Field [PDF]
J. Math. Phys. 64, 103302 (2023), 2019 In this paper, we introduce probability thermodynamics and probability quantum fields. By probability we mean that there is an unknown operator, physical or nonphysical, whose eigenvalues obey a certain statistical distribution. Eigenvalue spectra define
Dai, Wu-Sheng +3 more
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Optimizing Service Areas in 6G mmWave/THz Systems with Dual Blockage and Micromobility
Mathematics, 2023 The modern 5G millimeter wave (mmWave) New Radio (NR) systems as well as future terahertz (THz) radio access technologies (RAT) will heavily rely on beamforming to combat the excessive path losses.
Elizaveta Golos +4 more
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Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point
Mathematics, 2023 We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only the absorption of ...
Elena Filichkina, Elena Yarovaya
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Generalised block bootstrap and its use in meteorology [PDF]
Advances in Statistical Climatology, Meteorology and Oceanography, 2017 In an earlier paper, Rakonczai et al.(2014) emphasised the importance of investigating the effective sample size in case of autocorrelated data. The simulations were based on the block bootstrap methodology.
L. Varga, A. Zempléni
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Branching Random Walks with Two Types of Particles on Multidimensional Lattices
Mathematics, 2022 We consider a continuous-time branching random walk on a multidimensional lattice with two types of particles and an infinite number of initial particles.
Iuliia Makarova +3 more
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Propagation Model for Ground-to-Aircraft Communications in the Terahertz Band with Cloud Impairments
Energies, 2022 By operating over a large bandwidth, the terahertz (THz) frequency band (0.3–3 THz) promises to deliver extremely high data rates. While the use of this band in cellular communications systems is not expected to happen within the next decade, various ...
Vladimir Doborshchuk +2 more
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The Age of Information in Wireless Cellular Systems: Gaps, Open Problems, and Research Challenges
Sensors, 2023 One of the critical use cases for prospective fifth generation (5G) cellular systems is the delivery of the state of the remote systems to the control center.
Elena Zhbankova +3 more
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The Quality of Reserve Risk Calculation Models under Solvency II and IFRS 17
Risks, 2022 We analyse four stochastic claims reserving methods in terms of their capability to estimate reserve risk and how successful they are at predicting distributions and VaRs of claim developments in particular.
N. Miklós Arató, László Martinek
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Poissonization Principle for a Class of Additive Statistics
Mathematics, 2022 In this paper, we consider a class of additive functionals of a finite or countable collection of the group frequencies of an empirical point process that corresponds to, at most, a countable partition of the sample space.
Igor Borisov, Maman Jetpisbaev
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