217 citations · 502 across the 43 of their papers we have counts for
8 papers · 1 filter
On large deviations for sums of discrete m-dependent random variables
Vydas Čekanavičius, Palaniappan Vellaisamy
The ratio is investigated for three cases: (a) when is a sum of 1-dependent non-negative integer-valued random variables (rvs), satisfying some moment con…
Marginal Log-linear Parameters and their Collapsibility for Categorical Data
S. Ghosh, P. Vellaisamy
We consider marginal log-linear models for parameterizing distributions on multidimensional contingency tables. These models generalize ordinary log-linear and multivariate logisti…
On Probabilistic Proofs of Certain Binomial Identities
P. Vellaisamy
We give a simple statistical proof of a binomial identity, by evaluating the Laplace transform of the maximum of n independent exponential random variables in two different ways. A…
Simpson's Paradox and Collapsibility
P. Vellaisamy
Simpson's paradox and collapsibility are two closely related concepts in the context of data analysis. While the knowledge about the occurrence of Simpson's paradox helps a statist…
A Compound Poisson Convergence Theorem for Sums of -Dependent Variables
V. Cekanavicius, P. Vellaisamy
We prove the Simons-Johnson theorem for the sums of -dependent random variables, with exponential weights and limiting compound Poisson distribution $\CP(s,λ)$. More preci…
Discrete approximations for sums of m-dependent random variables
V. Čekanavičius, P. Vellaisamy
Sums of of 1-dependent integer-valued random variables are approximated by compound Poisson, negative binomial and Binomial distributions and signed compound Poisson measures. Esti…