Random continued fractions with beta-hypergeometric distribution

DOI10.1214/10-AOP642zbMath1244.60067arXiv1004.1192MaRDI QIDQ428145

Mauro Piccioni, Gérard Letac

Publication date: 19 June 2012

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1192

zbMATH Keywords

generalized hypergeometric functionsdistributions on \((0, 1)\) with five parametersperiodic random continued fractions

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Probability distributions: general theory (60E05)

Related Items (2)

Random continued fractions: Lévy constant and Chernoff-type estimate ⋮ Convolution of beta prime distribution

Cites Work

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• Explicit stationary distributions for compositions of random functions and products of random matrices
• Beta-hypergeometric distributions and random continued fractions
• Explicit invariant measures for products of random matrices
• Group theoretical basis of some identities for the generalized hypergeometric series
• A characterization of the generalized inverse Gaussian distribution by continued fractions
• Exact sampling with coupled Markov chains and applications to statistical mechanics
• A generalization of Euler’s hypergeometric transformation
• The Dynamics of a Disordered Linear Chain

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