3 citations · 4 across the 7 of their papers we have counts for
7 papers
An Integral Representation of the Generalized Fibonacci Numbers
Bikash Chakraborty, Kalyan Barman, Soumon Roy +1
In this note, we present an integral representation of the -generalized Fibonacci sequence and provide a proof using contour integration. This representation enables the derivat…
Variance gamma approximation to sums of triplewise independent random variables
Aditi Panda, Kalyan Barman
In this article, we first discuss how triplewise independent random variables (rvs) are connected to a complete bipartite graph. Using the connection, we construct a sequence of tr…
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…
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…
Covariance Identities and Variance Bounds for Infinitely Divisible Random Variables and Their Applications
Kalyan Barman, Neelesh S Upadhye, Palaniappan Vellaisamy
In this article, we establish a general covariance identity for infinitely divisible distributions (IDD). Using this result, we derive Cacoullos type variance bounds for the IDD. A…
Stein's Method for Tempered Stable Distributions
Kalyan Barman, N. S. Upadhye
In this article, we develop Stein characterization for two-sided tempered stable distribution. Stein characterizations for normal, gamma, Laplace, and variance-gamma distributions…
A Unified Approach to Stein's Method for Stable Distributions
Neelesh S Upadhye, Kalyan Barman
In this article, we first review the connection between Lévy processes and infinitely divisible random variables, and the classification of infinitely divisible distributions. Usin…