Stochastic Classes Of Life Distributions
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The concept of stochastic ordering of random variables is used to characterize the behaviour of the life length variables. This leads to some new classes of ageing namely, the stochastic classes of life distributions. The implications properties and relationships with other known classes of life distributions are pointed out. Laplace transforms of the original life distributions are considered and discrete versions of the stochastic classes of life distributions are introduced. Further, most of the existing classes of life distributions are briefly surveyed and the significant meanings of the structure of these stochastic life distributions are emphasized.