4 papers · 1 filter
Some developments of exchangeable measure-valued Pólya sequences
Yoana R. Chorbadzhiyska, Hristo Sariev, Mladen Savov
Measure-valued Pólya sequences (MVPS) are processes whose dynamics are governed by generalized Pólya urn schemes with infinitely many colors. Assuming a general reinforcement rul…
On some properties of probability kernels
Hristo Sariev
Although regular conditional distributions (r.c.d.) are well-defined and widely used measure-theoretic objects, they can violate our intuition from the classical definition of a co…
Sufficientness postulates for measure-valued Pólya urn sequences
Hristo Sariev, Mladen Savov
In a recent paper, the authors studied the distribution properties of a class of exchangeable processes, called measure-valued Pólya sequences (MVPS), which arise as the observati…
Characterization of exchangeable measure-valued Pólya urn sequences
Hristo Sariev, Mladen Savov
Measure-valued Pólya urn sequences (MVPS) are a generalization of the observation processes generated by -color Pólya urn models, where the space of colors is a c…