A Note on Rényi's ‘Record’ Problem and Engel's Series

DOI10.1017/S0013091517000116zbMath1419.60024arXiv1607.03173OpenAlexW2962887535MaRDI QIDQ5228152

No author found.

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03173

zbMATH Keywords

Markov processeslarge deviationsrecord timesEngel's series

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Large deviations (60F10) Other number representations (11A67)

Related Items (6)

Large deviations for some logarithmic means in the case of random variables with thin tails ⋮ Hausdorff dimension of certain sets arising in Engel continued fractions ⋮ Convergence results for Oppenheim expansions. II ⋮ SLOW GROWTH RATE OF THE DIGITS IN ENGEL EXPANSIONS ⋮ On the growth speed of digits in Engel expansions ⋮ Large and moderate deviation principles for Engel continued fractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the large deviations for Engel's, Sylvester's series and Cantor's products
• Convergence rates for record times and the associated counting process
• On a joint strong approximation theorem for record and inter-record times
• Large and moderate deviation principles for Engel continued fractions
• Large and moderate deviations for modified Engel continued fractions
• Large and moderate deviation principles for alternating Engel expansions
• Precise asymptotics for record times and the associated counting process.
• ON Rényi's “Record” Problem and Engel's Series
• Record Times

This page was built for publication: A Note on Rényi's ‘Record’ Problem and Engel's Series