  In this paper we consider the notion of strong $I$-statistically pre-Cauchy
double sequences in probabilistic metric spaces in line of Das et. al. [6] and
introduce the new concept of strong $I^*$-statistically pre-Cauchy double
sequences in real line as well as in probabilistic metric spaces. We mainly
study inter relationship among strong $I$-statistical convergence, strong
$I$-statistical pre-Cauchy condition and strong $I^*$-statistical pre-Cauchy
condition for double sequences in probabilistic metric spaces and examine some
basic properties of these notions.
