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20212025
most citedInfinite-color randomly reinforced urns with dominant colors

8 citations · 13 across the 6 of their papers we have counts for

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6 papers

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…

math.PR2023★ 4 cited

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 com…

math.PR2023★ 1 cited

Moments of exponential functionals of Lévy processes on a deterministic horizon -- identities and explicit expressions

Zbigniew Palmowski, Hristo Sariev, Mladen Savov

In this work, we consider moments of exponential functionals of Lévy processes on a deterministic horizon. We derive two convolutional identities regarding these moments. The first…

math.PR2021★ 8 cited

Infinite-color randomly reinforced urns with dominant colors

Hristo Sariev, Sandra Fortini, Sonia Petrone

We define and prove limit results for a class of dominant Pólya sequences, which are randomly reinforced urn processes with color-specific random weights and unbounded number of po…