4 papers · 1 filter
Uncorrelatedness sets of discrete uniform distributions via Vandermonde-type determinants
Mehmet Turan, Sofiya Ostrovska, Ahmet Yaşar Özban
Given random variables and having finite moments of all orders, their uncorrelatedness set is defined as the set of all pairs for which and $…
Discrete Stieltjes classes for log-Heine type distributions
Sofiya Ostrovska, Mehmet Turan
The Stieltjes classes play a significant role in the moment problem since they permit to expose an infinite family of probability distributions all having equal moments of all orde…
On the invariant manifolds of the fixed point of a second order nonlinear difference equation
Mehmet Turan
This paper addresses the asymptotic approximations of the stable and unstable manifolds for the saddle fixed point and the 2-periodic solutions of the difference equation $x_{n+1}…
q-Stieltjes classes for some families of q-distributions
Sofiya Ostrovska, Mehmet Turan
The Stieltjes classes play a significant role in the moment problem allowing to exhibit explicitly an infinite family of probability densities with the same sequence of moments. In…