Testing NBU(2) class of life distribution based on goodness of fit approach

In this paper, new testing procedures for exponentiality against the NBU(2) class is addressed based on the goodness of fit approach. It is shown that the proposed test has high relative efficiency for some commonly used alternative and enjoys a good power. The critical values of the proposed statistic are calculated and some applications are given to elucidate the use of the proposed test in reliability analysis.