49 citations · 80 across the 14 of their papers we have counts for
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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…
An Identity for Two Integral Transforms Applied to the Uniqueness of a Distribution via its Laplace-Stieltjes Transform
Gwo Dong Lin, Xiaoling Dou
It is well known that the Laplace-Stieltjes transform of a nonnegative random variable (or random vector) uniquely determines its distribution function. We extend this uniqueness t…
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…
Necessary and Sufficient Conditions for Unique Solution to Functional Equations of Poincare Type
Chin-Yuan Hu, Gwo Dong Lin
Distributional equation is an important tool in the characterization theory because many characteristic properties of distributions can be transferred to such equations. Using a no…
Absolute moments in terms of characteristic functions
Gwo Dong Lin, Chin-Yuan Hu
The absolute moments of probability distributions are much more complicated than conventional ones. By using a direct and simpler approach, we retreat P. L. Hsu's (1951, J. Chinese…
Recent Developments on the Moment Problem
Gwo Dong Lin
We consider univariate distributions with finite moments of all positive orders. The moment problem is to determine whether or not a given distribution is uniquely determined by th…
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…