1 citations · 1 across the 5 of their papers we have counts for
5 papers
New Characterizations of the Gamma Distribution via Independence of Two Statistics by Using Anosov's Theorem
Gwo Dong Lin, Jordan M. Stoyanov
Available in the literature are properties which characterize the gamma distribution via independence of two appropriately chosen statistics. Well-known is the classical result whe…
Characterization of Probability Distributions via Functional Equations of Power-Mixture Type
Chin-Yuan Hu, Gwo Dong Lin, Jordan M. Stoyanov
We study power-mixture type functional equations in terms of Laplace-Stieltjes transforms of probability distributions. These equations arise when studying distributional equations…
On conditions under which a probability distribution is uniquely determined by its moments
Elena B. Yarovaya, Jordan M. Stoyanov, Konstantin K. Kostyashin
We study the relationship between the well-known Carleman's condition guaranteeing that a probability distribution is uniquely determined by its moments, and a recent easily checka…
On the Moment Determinacy of Products of Non-identically Distributed Random Variables
Gwo Dong Lin, Jordan Stoyanov
We show first that there are intrinsic relationships among different conditions, old and recent, which lead to some general statements in both the Stieltjes and the Hamburger momen…
Moment Determinacy of Powers and Products of Nonnegative Random Variables
Gwo Dong Lin, Jordan Stoyanov
We find conditions which guarantee moment (in)determinacy of powers and products of nonnegative random variables. We establish new and general results which are based either on the…