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Scaling Exponent and Moderate Deviations Asymptotics of Polar Codes for the AWGN Channel
This paper investigates polar codes for the additive white Gaussian noise (AWGN) channel. The scaling exponent μ of polar codes for a memoryless channel q Y | X with capacity I ( q Y | X ) characterizes the closest gap between
Silas L. Fong, Vincent Y. F. Tan
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Let X, Xn, n≥1 be a sequence of iid real random variables, and Sn=∑k=1nXk, 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.
Deli Li, Xiangchen Wang, M. Bhaskara Rao
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In this paper, we consider a discrete-time risk model with the claim number following a Poisson ARCH process. In this model, the mean of the current claim number depends on the previous observations. We study the large deviations for the aggregate amount
Shihang Yu
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Moderate deviations for finite population student's statistic [PDF]
In this paper, moderate deviations for finite population are given under weaker conditions.
Hu, Zhishui
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Strong Moderate Deviation Theorems
Let \(T_ n\) be a sequence of random variables such that there are r.v. \(W_ n\) satisfying the following conditions \[ P(\sqrt n| T_ n-W_ n|>c_ 1\lg n+x)\leq c_ 2 e^{-c_ 3x} \] for all large enough \(n\) and all \(0x_ n)/P(W_ n>x_ n))=1\), if \(x_ n\to\infty\) and \(x_ n=o(n^{-1/6})\).
Inglot, Tadeusz +2 more
openaire +4 more sources
Trajectories of exchangeable sequences: Large and moderate deviations results [PDF]
Summarization: In this paper we prove large and moderate deviations for the distribution of the trajectories of a sequence of r.v.'s w.r.t. a measure which is the mixture of certain sequences of p.m.'s.
Δαρας Τρυφωνας(http://users.isc.tuc.gr/~tdaras) +1 more
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Moderate and Large Deviations for the Smoothed Estimate of Sample Quantiles
We derive the moderate and large deviations principle for the smoothed sample quantile from a sequence of independent and identically distributed samples of size n.
Xiaoxia He, Xi Liu, Chun Yao
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Impact of buildings on surface solar radiation over urban Beijing [PDF]
The rugged surface of an urban area due to varying buildings can interact with solar beams and affect both the magnitude and spatiotemporal distribution of surface solar fluxes.
B. Zhao +12 more
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Moderate deviations for fully coupled multiscale weakly interacting particle systems [PDF]
We consider a collection of fully coupled weakly interacting diffusion processes moving in a two-scale environment. We study the moderate deviations principle of the empirical distribution of the particles' positions in the combined limit as the number ...
Bezemek, Zachary +1 more
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Moderate Deviations for Stochastic Fractional Heat Equation Driven by Fractional Noise
We consider a class of stochastic fractional heat equations driven by fractional noises. A central limit theorem is given, and a moderate deviation principle is established.
Xichao Sun, Ming Li, Wei Zhao
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