Some properties of the "new better than used in failure rate" (NBUFR) and the "new better than used in expectation" (NBUE) classes of life distributions are given. These properties include moment inequalities and moment generating functions behaviors. In addition, nonparametric estimation and testing of the survival functions of these classes are discussed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am36-2-2, author = {E. M. Shokry and A. N. Ahmed and E. A. Rakha and H. M. Hewedi}, title = {New results on the NBUFR and NBUE classes of life distributions}, journal = {Applicationes Mathematicae}, volume = {36}, year = {2009}, pages = {139-147}, zbl = {1169.62352}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-2-2} }
E. M. Shokry; A. N. Ahmed; E. A. Rakha; H. M. Hewedi. New results on the NBUFR and NBUE classes of life distributions. Applicationes Mathematicae, Tome 36 (2009) pp. 139-147. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am36-2-2/