Abstract
We introduce the notion of (lambda, mu)-statistical convergence of double sequences in a setting of paranormed space and prove that every convergent sequence is (lambda, mu)-statistically convergent but not conversely by supporting an illustrative example. We also define the notions of (lambda, mu)-statistical Cauchy and strongly (lambda, mu)(p)-summable double sequences in a paranormed space and obtain their relationship with (lambda, mu)-statistical convergence.