3 papers
math.ST2025
Mixed exponential statistical structures and their approximation operators
Yurii Volkov, Oleksandr Volkov, Nataliia Voinalovych
The paper examines the construction and analysis of a new class of mixed exponential statistical structures that combine the properties of stochastic models and linear positive ope…
math.ST2025
Study of power series distributions with specified covariances
Oleksandr Volkov, Yurii Volkov, Nataliia Voinalovych
This paper presents a study of power series distributions (PSD) with prescribed covariance characteristics. Such distributions constitute a fundamental class in probability theory…
math.ST2025
On the class of exponential statistical structures of type B
Oleksandr Volkov, Yurii Volkov
The article is devoted to the study of exponential statistical structures of type B, which constitute a subclass of exponential families of probability distributions. This class is…