Multivariate normal \(\alpha\)-stable exponential families
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Publication:327378
DOI10.1007/s00009-015-0562-yzbMath1375.60045OpenAlexW1972142360MaRDI QIDQ327378
Afif Masmoudi, Mahdi Louati, Farouk Mselmi
Publication date: 19 October 2016
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-015-0562-y
infinitely divisiblevariance functionnatural exponential familiesdrifted stable distributionsnormal \(\alpha\)-stable distributions
Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)
Related Items (5)
Characterization of multivariate stable processes ⋮ The normal tempered stable regression model ⋮ Characterization and classification of multiple stable Tweedie models ⋮ Generalized variance functions for infinitely divisible mixture distributions ⋮ Lévy processes time-changed by the first-exit time of the inverse Gaussian subordinator
Cites Work
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- On the Monge-Ampère equation for characterizing gamma-Gaussian model
- Natural real exponential families with cubic variance functions
- A characterization of Poisson-Gaussian families by generalized variance
- Multivariate stable exponential families and Tweedie scale
- Probability measures, Lévy measures and analyticity in time
- Natural exponential families with quadratic variance functions
- Statistical methods in finance
- Exponential stopping and drifted stable processes
- Generalized variance and exponential families
- Characterization of the cubic exponential families by orthogonality of polynomials.
- Mixture and reciprocity of exponential models
- Value at Risk with time varying variance, skewness and kurtosis-the NIG-ACD model
- Inversion formula for infinitely divisible distributions
- Survival models for heterogeneous populations derived from stable distributions
- Normal Inverse Gaussian Distributions and Stochastic Volatility Modelling
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