On large deviations for sums of discrete m-dependent random variables

Vydas Čekanavičius, Palaniappan Vellaisamy

The ratio $P(S_n=x)/P(Z_n=x)$ is investigated for three cases: (a) when $S_n$ is a sum of 1-dependent non-negative integer-valued random variables (rvs), satisfying some moment con…