42 citations · 70 across the 8 of their papers we have counts for
5 papers · 1 filter
The entropy based goodness of fit tests for generalized von Mises-Fisher distributions and beyond
Nikolai Leonenko, Vitalii Makogin, Mehmet Siddik Cadirci
We introduce some new classes of unimodal rotational invariant directional distributions, which generalize von Mises-Fisher distribution. We propose three types of distributions, o…
Non-Local Solvable Birth-Death Processes
Giacomo Ascione, Nikolai Leonenko, Enrica Pirozzi
In this paper we study strong solutions of some non-local difference-differential equations linked to a class of birth-death processes arising as discrete approximations of Pearson…
Analysis of Spherical Monofractal and Multifractal Random Fields
Nikolai Leonenko, Ravindi Nanayakkara, Andriy Olenko
The Rényi function plays an important role in the analysis of multifractal random fields. For random fields on the sphere, there are three models in the literature where the Rényi…
Large deviations for a class of tempered subordinators and their inverse processes
Nikolai Leonenko, Claudio Macci, Barbara Pacchiarotti
We consider a class of tempered subordinators, namely a class of subordinators with one-dimensional marginal tempered distributions which belong to a family studied in [3]. The mai…
Skellam Type Processes of Order K and Beyond
Neha Gupta, Arun Kumar, Nikolai Leonenko
In this article, we introduce Skellam process of order k and its running average. We also discuss the time-changed Skellam process of order k. In particular we discuss space-fracti…