A note on randomly stopped sums with zero mean increments
Modern Stochastics: Theory and Applications, 2023 In this paper, the asmptotics is considered for the distribution tail of a randomly stopped sum ${S_{\nu }}={X_{1}}+\cdots +{X_{\nu }}$ of independent identically distributed consistently varying random variables with zero mean, where ν is a counting ...
Remigijus Leipus, Jonas Šiaulys
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Asymptotics of the occupancy scheme in a random environment and its applications to tries [PDF]
Discrete Mathematics & Theoretical Computer Science, 2017 Consider $ m $ copies of an irreducible, aperiodic Markov chain $ Y $ taking values in a finite state space. The asymptotics as $ m $ tends to infinity, of the first time from which on the trajectories of the $ m $ copies differ, have been studied by ...
Silvia Businger
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Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 66, Page 3565-3576, 2004., 2004 Let {X, Xn; n ≥ 1} be a sequence of real‐valued i.i.d. random variables and let Sn=∑i=1nXi, n ≥ 1. In this paper, we study the probabilities of large deviations of the form P(Sn > tn1/p), P(Sn < −tn1/p), and P(|Sn| > tn1/p), where t > 0 and 0 < p < 2.
Deli Li, Andrew Rosalsky
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Analysis of statistical equilibrium models of geostrophic turbulence
International Journal of Stochastic Analysis, Volume 15, Issue 4, Page 327-347, 2002., 2002 Statistical equilibrium lattice models of coherent structures in geostrophic turbulence, formulated by discretizing the governing Hamiltonian continuum dynamics, are analyzed. The first set of results concern large deviation principles (LDP′s) for a spatially coarse‐grained process with respect to either the canonical and/or the microcanonical ...
Richard S. Ellis +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 481-497, 1992., 1992 Let X, Xn, n ≥ 1 be a sequence of iid real random variables, and , n ≥ 1. Convergence rates of moderate deviations are derived, i.e., the rate of convergence to zero of certain tail probabilities of the partial sums are determined. For example, we obtain equivalent conditions for the convergence of series only under the assumptions convergence that EX =
Deli Li, Xiangchen Wang, M. Bhaskara Rao
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Active-site engineering of ω-transaminase from Ochrobactrum anthropi for preparation of L-2-aminobutyric acid. [PDF]
BMC Biotechnol, 2021 Zhang Z +8 more
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Bayes Posterior Convergence for Loss Functions via Almost Additive Thermodynamic Formalism. [PDF]
J Stat Phys, 2022 Lopes AO, Lopes SRC, Varandas P.
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Multi-arm covariate-adaptive randomization. [PDF]
Sci China Math, 2023 Hu F, Ye X, Zhang LX.
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Random walks on hyperbolic spaces: Concentration inequalities and probabilistic Tits alternative. [PDF]
Probab Theory Relat Fields, 2022 Aoun R, Sert C.
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Goodness-of-fit tests for the logistic location family. [PDF]
J Appl Stat, 2020 Nikitin YY, Ragozin IA.
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