6 papers
On card guessing after an asymmetric single-shelf shuffle
Alexander Clay, Markus Kuba, Raghavendra Tripathi
We provide a definitive analysis of the number of correct guesses in the complete-feedback card guessing game after an asymmetric single-shelf shuffle with parameter .…
On Card guessing after a single shelf shuffle
Markus Kuba
We consider a card guessing game with complete feedback. An ordered deck of cards labeled up to is shelf-shuffled exactly one time. One after the other a single card is…
Card guessing after an asymmetric riffle shuffle
Markus Kuba
We consider a card guessing game with complete feedback. An ordered deck of cards labeled up to is riffle-shuffled exactly one time. Given a value $p\in(0{,}1)\setminus…
A note on mixed Poisson distributions
Markus Kuba
In this note we discuss additional properties of mixed Poisson distributions. We discuss the convergence of mixed Poisson distributions to its mixing distribution for the scaling p…
On Pólya-Young urn models and growth processes
Markus Kuba
This work is devoted to Pólya-Young urns, a class of periodic Pólya urns of importance in the analysis of Young tableaux. We provide several extension of the previous results of Ba…
On affine multi-color urns grown under multiple drawing
Joshua Sparks, Markus Kuba, Srinivasan Balaji +1
Early investigation of Pólya urns considered drawing balls one at a time. In the last two decades, several authors considered multiple drawing in each step, but mostly for schemes…