The problem of simultaneous estimation of a set of binomial probabilities has been considered by various authors. In this article, we develop the asymptotic properties of a positive part shrinkage estimator (PPSE) and shrinkage preliminary test estimator (SPTE)of binomial probabilities in the light of quadratic loss function. It is shown that the proposed PPS estimator asymptotically dominates the usual shrinkage estimator and the usual unrestricted estimator provides a wider range than the usual preliminary test estimator (PTP)in which it dominates the UMLE. An optimal rule for the size of the preliminary test is presented. It is found that the size of the preliminary test for the proposed SPTE is more reasonable than the usual PTE. Moreover, small sample properties of the estimators are also investigated via simulation. Interestingly, simulation studies reveal that the proposed estimator behaves robustly when the samples are small.