Results 11 to 20 of about 14,911 (257)

The Asymptotics of Moments for the Remaining Time of Heavy-Tail Distributions

open access: yesComputer Sciences & Mathematics Forum, 2023
Recent mathematical models of reliability computer systems and telecommunication networks are based on distributions with heavy tails. This paper falls into the category of exploring the classical models with heavy tails: Gnedenko–Weibull, Burr ...
Vladimir Rusev, Alexander Skorikov
doaj   +1 more source

QML Estimation of GARCH(1,1) Process [PDF]

open access: yesMaǧallaẗ Al-Buḥūṯ Al-Mālīyyaẗ wa Al-Tiğāriyyaẗ, 2017
In financial time series, the conventional fitting procedure (QMLE) suffers from the outlier problem. Estimation of the parameters in GARCH model, can be adversely affected by a single outlier.simulation studies will not only demonstrate the robustness ...
Mona Samy Elkhouly
doaj   +1 more source

Feller-Pareto and Related Distributions: Numerical Implementation and Actuarial Applications

open access: yesJournal of Statistical Software, 2022
Actuaries model insurance claim amounts using heavy tailed probability distributions. They routinely need to evaluate quantities related to these distributions such as quantiles in the far right tail, moments or limited moments.
Christophe Dutang   +2 more
doaj   +1 more source

On Learning Mixtures of Heavy-Tailed Distributions [PDF]

open access: yes46th Annual IEEE Symposium on Foundations of Computer Science (FOCS'05), 2005
We consider the problem of learning mixtures of arbitrary symmetric distributions. We formulate sufficient separation conditions and present a learning algorithm with provable guarantees for mixtures of distributions that satisfy these separation conditions. Our bounds are independent of the variances of the distributions; to the best of our knowledge,
Anirban Dasgupta 0001   +3 more
openaire   +1 more source

The Exponential T-X Family of Distributions: Properties and an Application to Insurance Data

open access: yesJournal of Mathematics, 2021
Heavy-tailed distributions play a prominent role in actuarial and financial sciences. In this paper, we introduce a family of distributions that we refer to as exponential T-X (ETX) family.
Zubair Ahmad   +4 more
doaj   +1 more source

Estimation of heavy tails in optical non-linear processes

open access: yesNew Journal of Physics, 2021
In optical non-linear processes, rogue waves can be observed, which can be mathematically described by heavy-tailed distributions. These distributions are special since the probability of registering extremely high intensities is significantly higher ...
Éva Rácz   +2 more
doaj   +1 more source

Understanding the structure of cognitive noise.

open access: yesPLoS Computational Biology, 2022
Human cognition is fundamentally noisy. While routinely regarded as a nuisance in experimental investigation, the few studies investigating properties of cognitive noise have found surprising structure.
Jian-Qiao Zhu   +3 more
doaj   +1 more source

Fitting Heavy Tailed Distributions: The poweRlaw Package

open access: yesJournal of Statistical Software, 2015
Over the last few years, the power law distribution has been used as the data generating mechanism in many disparate fields. However, at times the techniques used to fit the power law distribution have been inappropriate.
Colin S. Gillespie
doaj   +1 more source

Alpha-Stable Autoregressive Modeling of Chua's Circuit in the Presence of Heavy-Tailed Noise

open access: yesChaos Theory and Applications, 2023
This study presents alpha-stable autoregressive (AR) modeling of the dynamics of Chua's circuit in the presence of heavy-tailed noise. The parameters of the AR time series are estimated using the covariation-based Yule-Walker method, and the parameters ...
Deniz Kutluay, Serpil Yılmaz
doaj   +1 more source

Heavy-tailed distribution of cyber-risks [PDF]

open access: yesThe European Physical Journal B, 2010
ISSN:1434 ...
Maillart, T., Sornette, Didier
openaire   +3 more sources

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