217 citations · 502 across the 43 of their papers we have counts for
7 papers · 1 filter
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…
Correlation between Adomian and Partial Exponential Bell Polynomials
K. K. Kataria, P. Vellaisamy
We obtain some recurrence relationships among the partition vectors of the partial exponential Bell polynomials. On using such results, the -th Adomian polynomial for any nonlin…
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…
Evaluation of missing data mechanisms in two and three dimensional incomplete tables
S. Ghosh, P. Vellaisamy
The analysis of incomplete contingency tables is a practical and an interesting problem. In this paper, we provide characterizations for the various missing mechanisms of a variabl…
Closed form estimates for missing counts in multidimensional incomplete tables
S. Ghosh, P. Vellaisamy
A useful technique for analyzing incomplete tables is to model the missing data mechanisms of the variables using log-linear models. In this paper, we use log-linear parametrizatio…