3 papers
math.PR2019
Max-compound Cox processes. III
Victor Korolev, Igor Sokolov, Andrey Gorshenin
Extreme values are considered in samples with random size that has a mixed Poisson distribution being generated by a doubly stochastic Poisson process. We prove some inequalities p…
math.ST2019
Improved mathematical models of statistical regularities in precipitation
Victor Korolev, Andrey Gorshenin
The paper presents improved mathematical models and methods for statistical regularities in the behavior of some important characteristics of precipitation: duration of a wet perio…
stat.ME2018
A functional approach to estimation of the parameters of generalized negative binomial and gamma distributions
Andrey K. Gorshenin, Victor Yu. Korolev
The generalized negative binomial distribution (GNB) is a new flexible family of discrete distributions that are mixed Poisson laws with the mixing generalized gamma (GG) distribut…