Abstract
The class of life distributions used better than aged in convex order upper tail ordering (UBACT) is introduced. A Moment inequality to this class (UBACT) of life distribution is given. In addition testing exponentiality versus (UBACT) class of life distribution based on a moment inequality is presented. Simulation such as critical values, Pitmans asymptotic efficiency and the power of test are discussed. Medical applications are given at the end of the paper.
Highlights
Suppose we want to purchase a used item such as a Radio, Tv, Computer, etc with unknown age
Many ageing concepts are introduced as a criteria for comparison such as used better than aged (UBA)class of life distributions, used better than aged in convex ordering ( UBAC) of life distribution and used better than aged convex ordering upper tail (UBACT) of life distribution
These distributions are reduced to exponential distribution for appropriate values of
Summary
Suppose we want to purchase a used item such as a Radio, Tv, Computer, etc with unknown age. Many ageing concepts are introduced as a criteria for comparison such as used better than aged (UBA)class of life distributions, used better than aged in convex ordering ( UBAC) of life distribution and used better than aged convex ordering upper tail (UBACT) of life distribution. The distribution function F is said to be (UBA) if for all x, t 0. The proposed class (UBACT) of life distribution is simple, gives more efficient for common alternatives and introduces a good power.
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