14 citations · 14 across the 9 of their papers we have counts for
4 papers · 1 filter
The Best Bounds for Range Type Statistics
Tsung-Lin Cheng, Chin-Yuan Hu
In this paper, we obtain the upper and lower bounds for two inequalities related to the range statistics. The first one is concerning the one-variable case and the second one is ab…
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…