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Robustness and heavy-tailed distributions

2002
Summary: The paper describes equivariant estimators having efficiencies that are poly-optimal within finite sets of distributional shapes. For simplicity and because robustness theory is most highly developed in this situation, the pure location case is considered.
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High quantile estimation for heavy-tailed distributions

Performance Evaluation, 2005
Different estimators of high quantiles, such as x"p^c proposed in [N.M. Markovitch, U.R. Krieger, The estimation of heavy-tailed probability density functions, their mixtures and quantiles. Computer Networks 40 (3) (2002) 459-474], Weissman's estimator x"p^w and the POT-method are considered.
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Global Games with Heavy-Tailed Distributions

This paper extends global games theory to Generalized Pareto Distribution (GPD) noise. Our framework encompasses all empirically relevant tail behaviors through the shape parameter ξ, including Pareto-type distributions (0 < ξ < 0.5), exponential tails (ξ = 0), and light-tailed cases (ξ < 0).
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High Quantiles of Heavy-Tailed Distributions: Their Estimation

Automation and Remote Control, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A new family of heavy tailed distributions with an application to the heavy tailed insurance loss data

Communications in Statistics Part B: Simulation and Computation, 2022
Eisa Mahmoudi   +2 more
exaly  

Approximation of heavy-tailed distributions via stable-driven SDEs

Bernoulli, 2021
Mateusz Majka, Lu-Jing Huang
exaly  

Fourier transform MCMC, heavy-tailed distributions, and geometric ergodicity

Mathematics and Computers in Simulation, 2021
Leonid Iosipoi, Denis Belomestny
exaly  

New methods to define heavy-tailed distributions with applications to insurance data

Journal of Taibah University for Science, 2020
Eisa Mahmoudi   +2 more
exaly  

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