On Used-Better-Than-Aged in Convex Ordering Class of Life Distributions
H. Al-Nachawati and I.A. Alwasel (1997). On Used-Better-Than-Aged in Convex Ordering Class of Life Distributions. Journal of Statistical Research, Vol. 31, No. 1, pp. 123-130.
Abstract
In this paper a new class of life distributions namely, used better than aged in convex ordering (UBAC) is introduced. Relationships with other classes of life distributions are presented. The closure properties of the UBAC under convolutions, discrete mixture and formation of coherent systems are discussed. Also the Laplace transforms of the UBAC class of life distribution are characterized.
