Fractional absolute moments of heavy tailed distributions
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Publication:292942
DOI10.1214/15-BJPS280zbMath1381.60039arXiv1301.4804OpenAlexW2963263521MaRDI QIDQ292942
Publication date: 9 June 2016
Published in: Brazilian Journal of Probability and Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.4804
fractional derivativescharacteristic functionsinfinitely divisible distributionsfractional absolute momentsheavy tailed distributions
Infinitely divisible distributions; stable distributions (60E07) Probability distributions: general theory (60E05) Fractional derivatives and integrals (26A33)
Related Items (8)
Truncated fractional moments of stable laws ⋮ Randomness and fractional stable distributions ⋮ Ornstein-Uhlenbeck process driven by \(\alpha\)-stable process and its gamma subordination ⋮ Random walks in doubly random scenery ⋮ Prabhakar Lévy processes ⋮ Multidimensional Lévy white noise in weighted Besov spaces ⋮ Formulas of absolute moments ⋮ Testing for (in)finite moments
Cites Work
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- Multivariate elliptically contoured stable distributions: theory and estimation
- Positive-part moments via the Fourier-Laplace transform
- A note on Linnik's distribution
- A bivariate infinitely divisible distribution with exponential and Mittag-Leffler marginals
- Linear prediction of ARMA processes with infinite variance
- The moment generating function has its moments
- Conditional moments and linear regression for stable random variables
- Nonlinear regression of stable random variables
- On derivatives of characteristic functions
- On the behavior of characteristic functions on the real line
- Tails of Lévy measure of geometric stable random variables
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On the Mittag-Leffler distributions
- Fractional moment estimation of Linnik and Mittag-Leffler parameters
- Conditional distributions and characterizations of multivariate stable distribution
- Analytic and asymptotic properties of multivariate generalized Linnik's probability densities
- On the local behavior of characteristic functions
- Prediction in a Poisson cluster model
- Remarks on the relation between fractional moments and fractional derivatives of characteristic functions
- The Moment-Generating Function and Negative Integer Moments
- On certain self-decomposable distributions
- Some Improvements in Numerical Evaluation of Symmetric Stable Density and Its Derivatives
- Fractional Moments of Solutions to Stochastic Recurrence Equations
- On the Convergence of Moments in the Central Limit Theorem
- Characteristic Functions, Moments, and the Central Limit Theorem
- On Moments of Infinitely Divisible Distribution Functions
- Formulae for absolute moments
- Intermediate Probability
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