14 citations · 14 across the 9 of their papers we have counts for
9 papers
Integral Representations of Three Novel Multiple Zeta Functions for Barnes Type: A Probabilistic Approach
Gwo Dong Lin, Chin-Yuan Hu
Integral representation is one of the powerful tools for studying analytic continuation of the zeta functions. It is known that Hurwitz zeta function generalizes the famous Riemann…
On the second order of Zeta functional equations for Riemann Type
Chin-yuan Hu, Tsung-lin Cheng, Ie-bin Lian
This paper discuss a new class of functional equations by using both Poisson summation formula and Jacobi type theta a function. The class of Riemann type functional equations are…
On the Hurwitz Zeta Function and Its Applications to Hyperbolic Probability Distributions
Tsung-Lin Cheng, Chin-Yuan Hu
In this paper, we propose a new proof of the Jensen formula in 1895. We also derive some formulas similar to those in Pitman and Yor, 2003. Besides, a new formula of the generalize…
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…
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…
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…
Characterizations of the Logistic and Related Distributions
Chin-Yuan Hu, Gwo Dong Lin
It is known that few characterization results of the logistic distribution were available before, although it is similar in shape to the normal one whose characteristic properties…