BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20260526T074232EDT-00238SVoUa@132.216.98.100 DTSTAMP:20260526T114231Z DESCRIPTION: \n\nTitle: From the distribution of string counts in Bernoulli sequences to multivariate discrete models.\n\nAbstract:\n\nI will provide a personalized account of a sequence of problems\, that I have worked on over the years\, beginning with string counts in Bernoulli sequences and t ransiting to multivariate discrete models. As a starting point\, we consid er independent Bernoulli trials with varying success probabilities 1/k for the kth trial\, the sum of the products of two consecutive occurrences\,  and  the problem of establishing that the sum is distributed Poisson with mean equal to 1.  We will explain how this finding connects to cycles in random permutations\, records for continuous random variables\, the Hoppe- Polya urn\, and the classical Montmort matching problem.\n\nExtensions to other success probabilities will be discussed and we present a multivariat e version with Bernoulli arrays having multinomial independently distribut ed rows\, where the object of the study is the joint distribution of colum n totals.  For a certain configuration of the underlying parameters\,  a m ultivariate Poisson mixture with Dirichlet mixing arises and relates to mu ltivariate discrete models with common margins\, as well as to a sum and s hares model developed with Chris Jones\, to a multivariate splitting model by Peyhardi et al. (2021)\, and to a tree Polya splitting model by Valiqu ette et al. (2025).\n\nSpeaker\n\nÉric Marchand has been a professor in th e Department of mathematics of the Université de Sherbrooke since 2004. Pr ior to that\, he was a Faculty member at the University of New Brunswick a nd completed his PhD. work at the Université de Montréal in 1990. He has s erved as Department chair from 2004 to 2010\, 2020 to 2023\, and since las t September\, and as Director of the Statistics Laboratory of the CRM from 2015-2019. Among other responsibilities\, he served on the NSERC selectio n committee for Mathematics and Statistics\, and he was a member of the Bo ard of Governors at the Université de Sherbrooke. His research interests i nclude Bayesian statistics\, multivariate analysis\, predictive analysis\, statistical inference with parametric restrictions\, as well discrete pro bability models.\n\nhttps://mcgill.zoom.us/j/85849766730\n\nMeeting ID: 85 8 4976 6730\n\nPasscode: None\n\n \n DTSTART:20250328T193000Z DTEND:20250328T203000Z LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue Sherbrooke Ouest SUMMARY:Éric Marchand (Université de Sherbrooke) URL:https://www.mcgill.ca/mathstat/channels/event/eric-marchand-universite- de-sherbrooke-364437 END:VEVENT END:VCALENDAR