graphical constructions 1limit theorems 1stein's method 1triplewise independence 1variance-gamma approximation 1zero-bias transformation 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.PR2026
Variance gamma approximation to sums of triplewise independent random variables
Aditi Panda, Kalyan Barman
The paper links triplewise independent random variables to complete bipartite graphs, constructs such variables, and derives variance‑gamma approximation bounds for their sums usin…
math.PR2026
Linear combination of bilateral gamma random variables: distributional theory and approximations
Kalyan Barman, Palaniappan Vellaisamy
In this article, we obtain the exact distribution of a linear combination of bilateral gamma (BG) random variables (r.v.s). Next, we discuss the distributional properties of the li…
math.PR2024
Bilateral Gamma Approximation in Weiner Space
Kalyan Barman, Tomoyuki Ichiba, Palaniappan Vellaisamy
This paper deals with bilateral-gamma (BG) approximation to functionals of an isonormal Gaussian process. We use Malliavin-Stein method to obtain the error bounds for the smooth Wa…