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math.HO2022
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…
math.PR2022
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…