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math.PR2025
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 rule,…
math.PR2025
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…
math.PR2023
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 observatio…