Characterizations of GIG laws: a survey
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Publication:2509802
DOI10.1214/13-PS227zbMath1296.60027arXiv1312.7142OpenAlexW1964491225MaRDI QIDQ2509802
Christophe Ley, Angelo Efoevi Koudou
Publication date: 30 July 2014
Published in: Probability Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1312.7142
Characterization and structure theory for multivariate probability distributions; copulas (62H05) Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)
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Cites Work
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- Independence properties of the Matsumoto-Yor type
- Which distributions have the Matsumoto-Yor property?
- Fundamentals of Stein's method
- Stein's density approach and information inequalities
- Natural real exponential families with cubic variance functions
- Unifying Black-Scholes type formulae which involve Brownian last passage times up to a finite horizon
- Statistical properties of the generalized inverse Gaussian distribution
- Stein's method and multinomial approximation
- Poisson approximation for dependent trials
- The inverse Gaussian distribution. Statistical theory and applications
- Regressional characterization of the generalized inverse Gaussian population
- Modeling neural activity using the generalized inverse Gaussian distribution
- Interpretation via Brownian motion of some independence properties between GIG and gamma variables.
- Asymptotics in statistics. Some basic concepts.
- An entropy characterization of the inverse Gaussian distribution and related goodness-of-fit test
- The Matsumoto-Yor property on trees
- On characterizations of the gamma and generalized inverse Gaussian distributions
- An independence property for the product of GIG and gamma laws
- Random continued fractions and inverse Gaussian distribution on a symmetric cone
- Negative binomial approximation with Stein's method
- Efficiency combined with simplicity: new testing procedures for generalized inverse Gaussian models
- A link between the Matsumoto-Yor property and an independence property on trees
- The Matsumoto\,-\,Yor property and the structure of the Wishart distribution
- Hitting times of Brownian motion and the Matsumoto-Yor property on trees
- An Analogue of Pitman’s 2M — X Theorem for Exponential Wiener Functionals Part II: The Role of the Generalized Inverse Gaussian Laws
- Maximum Likelihood Characterization of Distributions
- On khatri's characterization of the inverse-gaussian distribution
- A Characterization of the Inverse Gaussian Distribution
- A characterization of the generalized inverse Gaussian distribution by continued fractions
- Self-decomposability of the generalized inverse Gaussian and hyperbolic distributions
- Infinite divisibility of the hyperbolic and generalized inverse Gaussian distributions
- Trees with random conductivities and the (reciprocal) inverse Gaussian distribution
- On the characterization of maximum likelihood estimators for location-scale families
- Characterizations of the Distributions of Power Inverse Gaussian and Others Based on the Entropy Maximization Principle
- The Matsumoto–Yor independence property for GIG and Gamma laws, revisited
- Stein's method for geometric approximation
- Martingales Defined by Reciprocals of Sums and Related Characterizations
- Stein's Method for the Beta Distribution and the Pólya-Eggenberger Urn
- THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
- Maximum likelihood characterization of distributions
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