Results 11 to 20 of about 101 (101)

On the size of the maximum of incomplete Kloosterman sums [PDF]

open access: yes, 2022
Let t : Fp → C be a complex valued function on Fp. A classical problem in analytic number theory is bounding the maximum M(t) := max 0≤H 0 there exists a large subset of a ∈ F×p such that for kl a,1,p : x → e((ax+x) / p) we have M(kla,1,p) ≥ (1−ε/√2π + o(
Bonolis, Dante
core   +1 more source

Chernoff and Berry-Esséen inequalities for Markov processes [PDF]

open access: yes, 2001
. In this paper, we develop bounds on the distribution function of the empirical mean for general ergodic Markov processes having a spectral gap. Our approach is based on the perturbation theory for linear operators, following the technique introduced by
Pascal Lezaud, Lezaud, Pascal
core   +1 more source

Higher order asymptotics for large deviations-Part II [PDF]

open access: yes, 2020
A preprint of this article is archived at arXiv:1907.11655v1 [math.PR], https://arxiv.org/abs/1907.11655v1 . It has not been certified by peer review. Free access is available online at: https://www.worldscientific.com/doi/abs/10.1142/S0219493721500258 ...
Hebbar, P, Fernando, K
core   +1 more source

Moderate deviations for M-estimators

open access: yes, 2002
M-estimators, moderate deviations, maximum likelihood estimators, 60F10, 62E20,
Miguel Arcones   +3 more
core   +1 more source

Ruin probabilities under general investments and heavy-tailed claims

open access: yes, 2010
Ruin probabilities, Heavy tails, Large deviations, 60F10, 60H20, G11,
Henrik Hult   +3 more
core   +1 more source

A note on convergence rates for posterior distributions via large deviations techniques

open access: yes, 2008
Posterior distribution, Convergence rates, Large deviations, Moderate deviations, 62G20, 60F10,
Ruggiero M.   +8 more
core   +1 more source

New properties and representations for members of the power-variance family.I [PDF]

open access: yes, 2012
We derive new Wright-function representations for the densities of the generating measures of most representatives of the power-variance family of distributions.
Vinogradov, Vladimir   +2 more
core   +1 more source

On large deviations in testing Ornstein–Uhlenbeck-type models

open access: yes, 2007
Likelihood ratio, Hellinger integral, Neyman–Pearson test, Bayes test, Minimax test, Large deviation theorems, Girsanov formula for diffusion-type processes, Ornstein–Uhlenbeck-type process, Stochastic delay differential equation, Primary: 62F05, 60F10 ...
Uwe Küchler   +4 more
core   +1 more source

Speed of Convergence of the Maximum Likelihood Estimator in the Ornstein-Uhlenbeck Process

open access: yes, 1995
Berry-Bsseen bounds with random norming and Jario deviation probabilities arc derived for the maximum likelihood estimator of the drift parameter in tho Ornstoin-Uhlenbeck proccss. AMS (1991) Subject Classification: Primary 62F12, 62M05 Secondary 60FOS,
Arup Bose, J. P. N. Bishwal
core   +1 more source

Analysis of a change-point regression problem in quality control by partial sums processes and Kolmogorov type tests

open access: yes, 2005
Primary 60G70, 62G10, 62G32, 62M02, secondary 60F10, 60G15, 62J05, Change-point problem, Quality control, Regression models, Partial sums processes, Signal-plus-noise model, Brownian motion with trend, Tests of Kolmogorov type, Extreme values, Large ...
Jürg Hüsler   +7 more
core   +1 more source

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