Independence properties of the Matsumoto-Yor type
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Publication:408091
DOI10.3150/10-BEJ325zbMath1250.62010arXiv1203.0381OpenAlexW3098358436MaRDI QIDQ408091
Pierre Vallois, Angelo Efoevi Koudou
Publication date: 29 March 2012
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.0381
gamma distributionKummer distributionMatsumoto-Yor propertygeneralized inverse Gaussian distribution
Probability distributions: general theory (60E05) Characterization and structure theory of statistical distributions (62E10)
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Cites Work
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- Sur le passage de certaines marches aléatoires planes au-dessus d'une hyperbole équilatère. (On the crossing of certain planar random walks over an equilateral hyperbola)
- Interpretation via Brownian motion of some independence properties between GIG and gamma variables.
- An independence property for the product of GIG and gamma laws
- A link between the Matsumoto-Yor property and an independence 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
- Matrix-variate Kummer-Beta distribution
- Explicit invariant measures for products of random matrices
- A characterization of the generalized inverse Gaussian distribution by continued fractions
- Infinite divisibility of the hyperbolic and generalized inverse Gaussian distributions
- Trees with random conductivities and the (reciprocal) inverse Gaussian distribution
- THE POPULATION FREQUENCIES OF SPECIES AND THE ESTIMATION OF POPULATION PARAMETERS
- The Dynamics of a Disordered Linear Chain
- Matrix variate Kummer-Dirichlet distributions