A generalized logistic distribution

for −∞ < z < ∞. The properties of this distribution and its generalizations have been studied by several authors. Of particular eminence are the numerous papers on this topic by Professor N. Balakrishnan and his colleagues; see, for example, Balakrishnan [1, 2, 3], Balakrishnan and Aggarwala [4], Balakrishnan et al. [5, 7, 12], Balakrishnan and Chan [6], Balakrishnan and Joshi [8], Balakrishnan and Kocherlakota [9], Balakrishnan and Leung [10], Balakrishnan and Malik [11], Balakrishnan and Puthenpura [13], Balakrishnan and Sandhu [14], and Balakrishnan and Wong [15]. In this short note, we construct a new generalization of (1.2) by taking Xi, i= 1,2, to have the general Gumbel distribution with the cdf