The discounted local limit theorems for large deviations
Lietuvos Matematikos Rinkinys, 2008 Theorems of large deviations, both in the Cramer zone and the Linnik power zones, for the normal approximation of the distribution density function of normalized sum Sv = \sum∞ k=0 vkXk, 0 < v < 1, of i.i.d.
Leonas Saulis, Dovilė Deltuvienė
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Quantum Central Limit Theorems, Emergence of Classicality and Time-Dependent Differential Entropy. [PDF]
Entropy (Basel), 2023 Kieu TD.
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Limit Theorems for Reinforced Jump Processes on Regular Trees [PDF]
Consider a vertex-reinforced jump process defined on a regular tree, where each vertex has exactly b children, with b >= 3. We prove the strong law of large numbers and the central limit theorem for the distance of the process from the root.
Andrea Collevecchio
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Limit Theorems as Blessing of Dimensionality: Neural-Oriented Overview. [PDF]
Entropy (Basel), 2021 Kreinovich V, Kosheleva O.
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Uniform limit theorems for marked point processes [PDF]
Stochastic Processes;Limit Theorems;60G10;60F15;60G55;probability ...
Nieuwenhuis, G.
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Limit theorems for multipower variation in the presence of jumps [PDF]
In this paper we provide a systematic study of the robustness of probability limits and central limit theory for realised multipower variation when we add finite activity and infinite activity jump processes to an underlying Brownian semimartingale ...
Matthias Winkel +2 more
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Some Common Fixed Point Theorems in Generalized Metric Spaces
Journal of Mathematics, 2013 First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps.
Manoj Kumar, Pankaj Kumar, Sanjay Kumar
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On the Csorgo-Révész increments of finite dimensional Gaussian random fields [PDF]
In this paper, we establish some limit theorems on the combined Csorgo-Révész increments with moduli of continuity for finite dimensional Gaussian random fields under mild conditions, via estimating upper bounds of large deviation probabilities on ...
Kyo-Shin Hwang +3 more
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Asymptotic results for a generalized Pòlya urn with delay and an applications to clinical trials [PDF]
In this paper a new Pòlya urn model is introduced and studied; in particular, a strong law of large numbers and two central limit theorems are proven. This urn generalizes a model studied in Berti et al. (2004), May et al.
Irene Crimanldi, Fabrizio Leisen
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Inhomogeneous Random Evolutions: Limit Theorems and Financial Applications
Mathematics, 2019 The paper is devoted to the inhomogeneous random evolutions (IHRE) and their applications in finance. We introduce and present some properties of IHRE. Then, we prove weak law of large numbers and central limit theorems for IHRE.
Nelson Vadori, Anatoliy Swishchuk
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