Quantum Probability Theory [PDF]
The mathematics of classical probability theory was subsumed into classical measure theory by Kolmogorov in 1933. Quantum theory as nonclassical probability theory was incorporated into the beginnings of noncommutative measure theory by von Neumann in ...
Redei, Miklos, Summers, Stephen J.
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Optimizing Service Areas in 6G mmWave/THz Systems with Dual Blockage and Micromobility
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
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]
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
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
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
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
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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Ruin probability in a risk model with variable premium intensity and risky investments [PDF]
We consider a generalization of the classical risk model when the premium intensity depends on the current surplus of an insurance company. All surplus is invested in the risky asset, the price of which follows a geometric Brownian motion.
Yuliya Mishura+2 more
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Poissonization Principle for a Class of Additive Statistics
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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