A joint absorption-Mahonian process

DOI10.1016/S0378-3758(01)00190-2zbMath0996.60007WikidataQ127207466 ScholiaQ127207466MaRDI QIDQ1347986

Don Rawlings

Publication date: 15 May 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

Mahonian statisticsabsorption distribution\(q\)-shifted factorial\((t,q)\)-binomial coefficient\(q\)-multinomial distribution

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Special processes (60K99)

Cites Work

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• Absorption processes: Models for \(q\)-identities
• A fundamental transformation on the rearrangements of words
• A generalized Mahonian statistic on absorption ring mappings
• Oil exploration: sequential decisions in the face of uncertainty
• The absorption distribution and the_q-binomial theorem
• Steady-state Markov chain models for the Heine and Euler distributions
• Bernoulli Trials and Mahonian Statistics: A Tale of Two q's

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