49 citations · 80 across the 14 of their papers we have counts for
14 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…
Characterizations of the Normal Distribution via the Independence of the Sample Mean and the Feasible Definite Statistics with Ordered Arguments
Chin-Yuan Hu, Gwo Dong Lin
It is well known that the independence of the sample mean and the sample variance characterizes the normal distribution. By using Anosov's theorem, we further investigate the analo…
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…
Dependence Properties of B-Spline Copulas
Xiaoling Dou, Satoshi Kuriki, Gwo Dong Lin +1
We construct by using B-spline functions a class of copulas that includes the Bernstein copulas arising in Baker's distributions. The range of correlation of the B-spline copulas i…