Abstract
Abstract The derivations of the distributions of functions of ordered statistics are complicated due to the fact that the integrals occurring in the derivation theory are to be evaluated over ordered ranges of variables of integration. The manipulations in such cases are tedious and involved. This difficulty is sometimes partially or completely obviated by transforming the ordered variates to the unordered ones as done by Kabe [2, 3], amongst several authors. Also the given distribution problem may be transformed to an equivalent one in some other variates which are easy to handle, see e.g., Laurent [5]. Since we are adopting Laurent's procedure in this paper we outline it briefly.
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