A5070027161- Mathematics and Applications
- Matrix Theory and Algorithms
- History and Theory of Mathematics
- Stochastic processes and financial applications
- Navier-Stokes equation solutions
- Probability and Risk Models
- Aquatic and Environmental Studies
- Analytic Number Theory Research
- Insurance, Mortality, Demography, Risk Management
- Fluid Dynamics and Turbulent Flows
- Physics and Engineering Research Articles
- Bayesian Methods and Mixture Models
- Advanced Harmonic Analysis Research
- Photonic and Optical Devices
- Algebraic and Geometric Analysis
- Data Mining Algorithms and Applications
- Experimental and Theoretical Physics Studies
- Advanced Statistical Methods and Models
- Control Systems and Identification
- Anomaly Detection Techniques and Applications
- Polynomial and algebraic computation
- Taxation and Legal Issues
- Advanced Fiber Optic Sensors
- Philosophy, Science, and History
- Random Matrices and Applications
University of Zurich
2020-2024
In analytic number theory, the Selberg--Delange Method provides an asymptotic formula for partial sums of a complex function $f$ whose Dirichlet series has form product well-behaved and power Riemann zeta function. probability mod-Poisson convergence is refinement in distribution toward normal distribution. This stronger not only implies Central Limit Theorem but also offers finer control over variables, such as precise estimates large deviations. this paper, we show that results theory...
Abstract We obtain Berry–Esseen-type bounds for the sum of random variables with a dependency graph and uniformly bounded moments order $$\delta \in (2,\infty ]$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>δ</mml:mi> <mml:mo>∈</mml:mo> <mml:mo>(</mml:mo> <mml:mn>2</mml:mn> <mml:mo>,</mml:mo> <mml:mi>∞</mml:mi> <mml:mo>]</mml:mo> </mml:mrow> </mml:math> using Fourier transform approach. Our improve state-of-the-art obtained by Stein’s method in regime where...
Using the approach of Etemadi for strong law large numbers [Z. Wahrsch. Verw. Gebiete, 55 (1981), pp. 119--122] and its elaboration by Csörgö, Tandori, Totik [Acta Math. Hungar., 42 (1983), 319--330], we give weaker conditions under which still holds, namely pairwise uncorrelated (and also "quasi-uncorrelated'') random variables. We focus, in particular, on variables are not identically distributed. Our leads to another simple proof classical numbers.
Using the approach of N. Etemadi for Strong Law Large Numbers (SLLN) from 1981 and elaboration this by S. Cs\"org\H{o}, K. Tandori V. Totik 1983, I give weak conditions under which SLLN still holds pairwise uncorrelated (and also "quasi uncorrelated") random variables. am focusing in particular on variables are not identically distributed. The delivers a simple proof classical SLLN.