Empirical Bayes Test Problem for the Failure Function Based on Type Ⅱ Censored Samples in Exponential Distribution

In this paper, we study the empirical Bayes （EB） test problem of the failure function based on type II censored samples in the exponential distribution. The EB test rule has been constructed by kernel estimation method. The convergence rates are established. Finally, an example satisfied the conditions of theorem is given.