3 citations · 6 across the 10 of their papers we have counts for
12 papers
Analyzing a Seneta's conjecture by using the Williamson transform
Edward Omey, Meitner Cadena
Considering slowly varying functions (SVF), Seneta in 2019 conjectured the following implication, for , $$ \int_0^x y^{α-1}(1-F(y))dy\textrm{ is SVF}\ \Longrightarrow\ \int…
A new test for convergence of positive series
Vyacheslav Abramov, Meitner Cadena, Edward Omey
The paper provides a new test of convergence and divergence of positive series. In particular, it extends the known test by Margaret Martin [%\emph{Bull. Amer. Math. Soc.} \textbf{…
Asymptotics for Kendall's renewal function
[M. Cadena, B. H. Jasiulis-Gołdyn, E. Omey
An elementary renewal theorem and a Blackwell theorem provided by Jasiulis-Gołdyn et al. (2020) in a setting of Kendall convolutions are proved under weaker hypothesis and extended…
How exceptional is the extremal Kendall and Kendall-type convolution
B. H. Jasiulis-Gołdyn, J. K. Misiewicz, E. Omey +1
This paper deals with the generalized convolutions connected with the Williamson transform and the maximum operation. We focus on such convolutions which can define transition prob…
Fluctuations of extremal Markov chains driven by the Kendall convolution
Barbara Jasiulis-Gołdyn, Edward Omey, Mateusz Staniak
The paper deals with fluctuations of Kendall random walks, which are extremal Markov chains and iterated integral transforms with the Williamson kernel $Ψ(t) = \left(1-|t|^α\right)…
Asymptotic properties of extremal Markov processes driven by Kendall convolution
Marek Arendarczyk, Barbara Jasiulis-Gołdyn, Edward Omey
This paper is devoted to the analysis of the finite-dimensional distributions and asymptotic behavior of extremal Markov processes connected to the Kendall convolution. In particul…