5 papers · 1 filter
Probability laws associated to the independence preserving quadrirational Yang-Baxter maps -- the ultimate case
Bartosz KoÅodziejek, Gérard Letac, Mauro Piccioni +1
A map is said to be independence preserving (IP) if there exists a pair of independent random variables v…
GIG random matrices and a Yang-Baxter extension of the Matsumoto-Yor property
Gérard Letac, Mauro Piccioni, Jacek WesoÅowski
Sasada and Uozumi, \cite{SasUoz2024}, identified independence preserving quadrirational parametric Yang-Baxter maps, see \eqref{YBEQ}, on . In particular, the m…
Graphical Negative Multinomial and Multinomial Models with Dirichlet-type priors
Iza Danielewska, Bartosz KoÅodziejek, Jacek WesoÅowski +1
Bayesian statistical graphical models are typically classified as either continuous and parametric (Gaussian, parameterized by the graph-dependent precision matrix with Wishart-typ…
Expected number of jumps and the number of active particles in TASEP
PaweÅ Hitczenko, Jacek WesoÅowski
For a TASEP on with the step initial condition we identify limits as of the expected total number of jumps until time and the expected number of acti…
Reversible Markov kernels and involutions on product spaces
Mauro Piccioni, Jacek WesoÅowski
In this paper the relations between independence preserving (IP) involutions and reversible Markov kernels are investigated. We introduce an involutive augmentation H = (f, g_f) of…