3 papers
math.PR2024
Pitman's discrete theorem for arbitrary initial laws and continuous time limits
Wlodzimierz Bryc, Jacek Wesolowski
We discuss Pitman's representation of a Markov process, which serves as a discrete analog to the Bessel 3D process starting at time 0 from an arbitrary initial law. This representa…
stat.ME2024
Recursive Neyman Algorithm for Optimum Sample Allocation under Box Constraints on Sample Sizes in Strata
Jacek WesoÅowski, Robert Wieczorkowski, Wojciech Wójciak
The optimum sample allocation in stratified sampling is one of the basic issues of survey methodology. It is a procedure of dividing the overall sample size into strata sample size…
math.PR2024
Askey-Wilson signed measures and open ASEP in the shock region
Yizao Wang, Jacek Wesolowski, Zongrui Yang
We introduce a family of multi-dimensional Askey-Wilson signed measures. We offer an explicit description of the stationary measure of the open asymmetric simple exclusion process…