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UID:20260417T044128EDT-9730Usn8Eo@132.216.98.100
DTSTAMP:20260417T084128Z
DESCRIPTION:A circular analogue to the Bernstein polynomial densities\n\nNo
 rmalized Bernstein polynomials have been widely used for the mixturemodell
 ing of density functions supported on the interval. They enable to relatet
 he geometry of the density to the mixture weights in simple and interpreta
 bleterms. This has led\, in particular\, to their use for monotone\, unimo
 dal andcopula density estimation. We present a trigonometric counterpart t
 o the Bernstein polynomial den-sities which is adapted to circular domains
  and accounts for the wrapping ofangular data. Properties relevant to its 
 application are studied and we givesimple conditions on weights for the re
 sulting mixture to be either periodicallyunimodal or symmetric. We conside
 r random polynomial priors based on thisbasis and show that\, for circular
  density estimation\, posterior means comparesfavourably to other methods 
 previously suggested in the literature. Strong pos-terior consistency is o
 btained for a wide class of densities and we briefly revisitthe issue of p
 osterior simulation. Joint work with Simon Guillotte.\n
DTSTART:20180329T193000Z
DTEND:20180329T203000Z
LOCATION:Room D3-2019\, CA\, QC\, Sherbrooke\, J1K 2R1\, 2500 Boul. de l'Un
 iversité
SUMMARY:Olivier Binette\, Département de mathématiques\, UQAM
URL:https://www.mcgill.ca/mathstat/channels/event/olivier-binette-departeme
 nt-de-mathematiques-uqam-286255
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