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Rare Event Analysis for Minimum Hellinger Distance Estimators via Large Deviation Theory [PDF]

open access: yesEntropy, 2021
Hellinger distance has been widely used to derive objective functions that are alternatives to maximum likelihood methods. While the asymptotic distributions of these estimators have been well investigated, the probabilities of rare events induced by ...
Anand N. Vidyashankar   +1 more
doaj   +2 more sources

Large deviation principle for the mean reflected stochastic differential equation with jumps [PDF]

open access: yesJournal of Inequalities and Applications, 2018
In this paper, we establish a large deviation principle for a mean reflected stochastic differential equation driven by both Brownian motion and Poisson random measure. The weak convergence method plays an important role.
Yumeng Li
doaj   +2 more sources

Intrinsic and Extrinsic Thermodynamics for Stochastic Population Processes with Multi-Level Large-Deviation Structure [PDF]

open access: yesEntropy, 2020
A set of core features is set forth as the essence of a thermodynamic description, which derive from large-deviation properties in systems with hierarchies of timescales, but which are not dependent upon conservation laws or microscopic reversibility in ...
Eric Smith
doaj   +2 more sources

Large Deviations for Quicksort [PDF]

open access: yesJournal of Algorithms, 1996
Summary: Let \(Q_n\) be the random number of comparisons made by quicksort in sorting \(n\) distinct keys when we assume that all \(n!\) possible orderings are equally likely. Known results concerning moments for \(Q_n\) do not show how rare it is for \(Q_n\) to make large deviations from its mean.
Colin McDiarmid, Ryan Hayward
openaire   +2 more sources

The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model

open access: yesNew Journal of Physics, 2023
Quantum coherence will undoubtedly play a fundamental role in understanding of the dynamics of quantum many-body systems, thereby to reveal its genuine contribution is of great importance.
Bao-Ming Xu, Chao-Quan Wang
doaj   +1 more source

Construction deviation control method of transverse super large inclined asphalt pavement [PDF]

open access: yesArchives of Civil Engineering, 2023
The speed of test vehicles on the high-speed car track of the automobile test field is very high. Reducing the construction error of asphalt pavement is very important to ensure the safety of the test vehicle.
Yongzheng Qi, Wengang Ma, Jiesheng Zhang
doaj   +1 more source

Efficiency large deviation function of quantum heat engines

open access: yesNew Journal of Physics, 2021
The efficiency of small thermal machines is typically a fluctuating quantity. We here study the efficiency large deviation properties of two exemplary quantum heat engines, the harmonic oscillator and the two-level Otto motors.
Tobias Denzler, Eric Lutz
doaj   +1 more source

Entropy regularized reinforcement learning using large deviation theory

open access: yesPhysical Review Research, 2023
Reinforcement learning (RL) is an important field of research in machine learning that is increasingly being applied to complex optimization problems in physics.
Argenis Arriojas   +3 more
doaj   +1 more source

The large deviation for the least squares estimator of nonlinear regression model based on WOD errors

open access: yesJournal of Inequalities and Applications, 2016
As a kind of dependent random variables, the widely orthant dependent random variables, or WOD for short, have a very important place in dependence structures for the intricate properties.
Xufeng Huang   +3 more
doaj   +1 more source

Large Deviations [PDF]

open access: yesThe Annals of Probability, 2005
This paper is based on the Wald Lectures diven at the annual meeting of the IMS in Minneapolis during August 2005. It is a survey of the theory of large deviations. The author has considered following sections of the theory: 1. Large deviations for sums; 2. Rate functions, duality and generating functions; 3. Markov processes; 4.
openaire   +3 more sources

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