217 citations · 502 across the 43 of their papers we have counts for
4 papers · 2 filters
On Densities of the Product, Quotient and Power of Independent Subordinators
K. K. Kataria, P. Vellaisamy
We obtain the closed form expressions for the densities of the product, quotient, power and scalar multiple of independent stable subordinators. Similar results for the independent…
Non-homogeneous space-time fractional Poisson processes
A. Maheshwari, P. Vellaisamy
The space-time fractional Poisson process (STFPP), defined by Orsingher and Poilto in \cite{sfpp}, is a generalization of the time fractional Poisson process (TFPP) and the space f…
Exponential Order Statistics, the Basel problem and Combinatorial Identities
P. Vellaisamy, A. Zeleke
We consider the k-th order statistic from unit exponential distribution and show that it can be represented as a sum of independent exponential random variables. Our proof is simpl…
On the Long-range Dependence of Fractional Poisson and Negative Binomial Processes
A. Maheshwari, P. Vellaisamy
We study the long-range dependence (LRD) of the increments of the fractional Poisson process (FPP), the fractional negative binomial process (FNBP) and the increments of the FNBP.…