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We consider an empirical process based upon ratio of selected pair of thenon-overlapping $m$-spacings generated by independent samples of arbitrarysizes. As a main result, we show that when both samples are uniformlydistributed on intervals of equal lengths, this empirical process converges toa mean-centered Brownian bridge of the form $\ \displaystyle (B\circH_{m})_{C}(v)=B(H_{m}(v))-2(2m+1)C\\frac{(2m-1)!}{m((m-1)!)^2}(v(1-v))^m\int_{0}^{1}B(H_{m}(s))\ud s,\ $ for $\\displaystyle 0\leq v\leq 1,\ $ where $\ \displaystyle B(.)\ $ denotes aBrownian bridge, $\ \displaystyle H_{m},\ $ the distribution function of theBeta distribution with parameters $m$ and $m,\ $ and $C,\ $ a constant.

Processus empiriques des rapports de $m$-espacements uniformes disjoints (Non-overlapping uniform $m$-spacings-ratio empirical processes)